Details

analyze2.2s (11.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample85.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	270×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify609.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

513×	`unsub-neg_binary64_15076`
498×	`distribute-rgt-neg-in_binary64_15040`
420×	`sub-neg_binary64_15075`
369×	`swap-sqr_binary64_15049`
337×	`distribute-lft-neg-in_binary64_15039`
299×	`exp-prod_binary64_15134`
296×	`cube-prod_binary64_15110`
224×	`distribute-neg-in_binary64_15043`
209×	`associate-+l-_binary64_15017`
208×	`associate--r-_binary64_15021` `+-commutative_binary64_15012`
196×	`unpow3_binary64_15148`
188×	`distribute-rgt1-in_binary64_15038`
186×	`neg-mul-1_binary64_15078`
178×	`cancel-sign-sub-inv_binary64_15048`
172×	`neg-sub0_binary64_15077`
162×	`distribute-lft-neg-out_binary64_15041` `associate-r_binary64_15022`
155×	`associate-l_binary64_15023`
152×	`distribute-neg-out_binary64_15044`
144×	`*-commutative_binary64_15013`
141×	`associate-+r-_binary64_15016`
137×	`associate--l+_binary64_15019`
135×	`distribute-rgt-neg-out_binary64_15042`
103×	`distribute-rgt-in_binary64_15032`
99×	`associate--l-_binary64_15020`
87×	`associate-+r+_binary64_15014`
78×	`associate-+l+_binary64_15015`
71×	`distribute-rgt-out_binary64_15035`
70×	`distribute-rgt-out--_binary64_15036`
63×	`remove-double-neg_binary64_15070`
61×	`distribute-lft-in_binary64_15031`
58×	`sub0-neg_binary64_15069`
49×	`associate--r+_binary64_15018`
36×	`mul0-lft_binary64_15064`
35×	`mul0-rgt_binary64_15065`
34×	`sqr-neg_binary64_15096`
26×	`--rgt-identity_binary64_15068`
25×	`+-rgt-identity_binary64_15067`
11×	`distribute-lft-out--_binary64_15034`
10×	`distribute-lft1-in_binary64_15037` `distribute-lft-out_binary64_15033` `count-2_binary64_15030`
8×	`exp-diff_binary64_15130`
7×	`exp-sum_binary64_15128` `+-inverses_binary64_15061`
4×	`unswap-sqr_binary64_15050`
3×	`cube-unmult_binary64_15119`
2×	`pow-plus_binary64_15145` `mul-1-neg_binary64_15074` `+-lft-identity_binary64_15066` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `cancel-sign-sub_binary64_15047`
1×	`pow-base-0_binary64_15166` `exp-lft-sqr_binary64_15137` `1-exp_binary64_15126` `*-lft-identity_binary64_15071` `difference-of-sqr--1_binary64_15053`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-pow_binary64_15171` `log-rec_binary64_15170` `log-div_binary64_15169` `log-prod_binary64_15168` `unpow1/3_binary64_15149` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-mult_binary64_15112` `cube-div_binary64_15111` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `times-frac_binary64_15088` `div-sub_binary64_15087` `/-rgt-identity_binary64_15073` `-rgt-identity_binary64_15072` `div0_binary64_15063` `-inverses_binary64_15062` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `associate-/l/_binary64_15029` `associate-/r/_binary64_15028` `associate-/l_binary64_15027` `associate-/r_binary64_15026` `associate-l/_binary64_15025` `associate-r/_binary64_15024`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	43
1	76	43
2	232	43
3	617	43
4	1321	43
5	2461	43
6	3058	43
7	3376	43
8	4890	43

prune17.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

4.1b

Counts

6 → 2

Compiler

Compiled 205 to 149 computations (27.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 a 4) t)
4.2b	(.f64 (.f64 (*.f64 x 18) y) z)
7.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite200.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

37×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
22×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
12×	`associate-r_binary64_15022`
8×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
4×	`add-log-exp_binary64_15121` `associate-l_binary64_15023` `*-commutative_binary64_15013`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 a 4) t)

Compiler

Compiled 3022 to 1781 computations (41.1% saved)

series797.0ms (4.2%)

Error

3.8b

Counts

4 → 33

Calls

4 calls:

341.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
204.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
100.0ms	(.f64 (.f64 x 18) y)
99.0ms	(.f64 (.f64 a 4) t)

Compiler

Compiled 3069 to 2459 computations (19.9% saved)

simplify428.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

621×	`times-frac_binary64_15088`
499×	`associate-l_binary64_15023`
418×	`sqr-pow_binary64_15054`
323×	`associate-r_binary64_15022`
252×	`associate-/l*_binary64_15027`
191×	`associate-+l+_binary64_15015`
185×	`pow-sqr_binary64_15055`
177×	`exp-prod_binary64_15134`
172×	`log-prod_binary64_15168`
161×	`cube-prod_binary64_15110`
149×	`associate-+r+_binary64_15014`
142×	`swap-sqr_binary64_15049`
128×	`associate-/r/_binary64_15028`
100×	`associate-/l/_binary64_15029`
92×	`*-commutative_binary64_15013`
88×	`unswap-sqr_binary64_15050`
84×	`associate-*r/_binary64_15024`
63×	`associate-/r*_binary64_15026`
38×	`unpow3_binary64_15148`
37×	`cube-mult_binary64_15112`
35×	`+-commutative_binary64_15012`
34×	`*-lft-identity_binary64_15071`
32×	`*-rgt-identity_binary64_15072`
30×	`associate-*l/_binary64_15025`
14×	`cube-unmult_binary64_15119`
9×	`+-lft-identity_binary64_15066`
8×	`log-div_binary64_15169` `+-rgt-identity_binary64_15067`
7×	`cube-div_binary64_15111`
6×	`log-pow_binary64_15171`
5×	`pow-plus_binary64_15145`
3×	`exp-sqrt_binary64_15135`
2×	`pow-base-1_binary64_15142`
1×	`log-rec_binary64_15170` `exp-to-pow_binary64_15144` `prod-exp_binary64_15131` `exp-sum_binary64_15128` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-log-exp_binary64_15123` `/-rgt-identity_binary64_15073` `rgt-mult-inverse_binary64_15059` `distribute-rgt1-in_binary64_15038` `distribute-rgt-out_binary64_15035` `distribute-rgt-in_binary64_15032` `count-2_binary64_15030`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `div-sub_binary64_15087` `neg-mul-1_binary64_15078` `neg-sub0_binary64_15077` `unsub-neg_binary64_15076` `sub-neg_binary64_15075` `mul-1-neg_binary64_15074` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `cancel-sign-sub-inv_binary64_15048` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039` `distribute-lft1-in_binary64_15037` `distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033` `distribute-lft-in_binary64_15031` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate--l+_binary64_15019` `associate--r+_binary64_15018` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`

Counts

114 → 250

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1547
1	334	1238
2	1537	1238
3	2053	1238
4	2920	1238
5	4128	1238

prune567.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	243	7	250
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	244	8	252

Error

0.6b

Counts

252 → 8

Compiler

Compiled 9577 to 5440 computations (43.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 (.f64 x 18) y)
4.2b	(.f64 (.f64 (*.f64 x 18) y) z)
7.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite190.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

37×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
22×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
12×	`associate-r_binary64_15022`
8×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
4×	`add-log-exp_binary64_15121` `associate-l_binary64_15023` `*-commutative_binary64_15013`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
10.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1787 computations (40.9% saved)

series767.0ms (4.1%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

322.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
205.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
97.0ms	(.f64 (.f64 j 27) k)
90.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3069 to 2458 computations (19.9% saved)

simplify413.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

643×	`times-frac_binary64_15088`
494×	`associate-l_binary64_15023`
414×	`sqr-pow_binary64_15054`
315×	`associate-r_binary64_15022`
254×	`associate-/l*_binary64_15027`
180×	`pow-sqr_binary64_15055`
179×	`exp-prod_binary64_15134`
174×	`associate-+l+_binary64_15015`
172×	`log-prod_binary64_15168`
162×	`cube-prod_binary64_15110`
144×	`swap-sqr_binary64_15049`
133×	`associate-+r+_binary64_15014`
131×	`associate-/r/_binary64_15028`
102×	`associate-/l/_binary64_15029`
95×	`*-commutative_binary64_15013`
90×	`unswap-sqr_binary64_15050`
83×	`associate-*r/_binary64_15024`
64×	`associate-/r*_binary64_15026`
40×	`*-lft-identity_binary64_15071`
38×	`unpow3_binary64_15148`
37×	`cube-mult_binary64_15112`
36×	`*-rgt-identity_binary64_15072`
33×	`+-commutative_binary64_15012`
32×	`associate-*l/_binary64_15025`
15×	`cube-unmult_binary64_15119`
9×	`+-lft-identity_binary64_15066`
8×	`log-div_binary64_15169` `+-rgt-identity_binary64_15067`
7×	`cube-div_binary64_15111`
6×	`log-pow_binary64_15171`
5×	`pow-plus_binary64_15145`
3×	`exp-sqrt_binary64_15135`
2×	`pow-base-1_binary64_15142`
1×	`log-rec_binary64_15170` `exp-to-pow_binary64_15144` `prod-exp_binary64_15131` `exp-sum_binary64_15128` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-log-exp_binary64_15123` `/-rgt-identity_binary64_15073` `rgt-mult-inverse_binary64_15059` `distribute-rgt1-in_binary64_15038` `distribute-rgt-out_binary64_15035` `distribute-rgt-in_binary64_15032` `count-2_binary64_15030`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `div-sub_binary64_15087` `neg-mul-1_binary64_15078` `neg-sub0_binary64_15077` `unsub-neg_binary64_15076` `sub-neg_binary64_15075` `mul-1-neg_binary64_15074` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `cancel-sign-sub-inv_binary64_15048` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039` `distribute-lft1-in_binary64_15037` `distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033` `distribute-lft-in_binary64_15031` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate--l+_binary64_15019` `associate--r+_binary64_15018` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`

Counts

114 → 275

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1547
1	342	1238
2	1512	1238
3	2036	1238
4	2913	1238
5	4130	1238

prune669.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	271	4	275
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	273	10	283

Error

0.3b

Counts

283 → 10

Compiler

Compiled 10630 to 6050 computations (43.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 27 (.f64 k j))
4.2b	(.f64 (.f64 (*.f64 x 18) y) z)
7.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite199.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

37×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
22×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
10×	`associate-r_binary64_15022`
8×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
6×	`associate-l_binary64_15023`
4×	`add-log-exp_binary64_15121` `*-commutative_binary64_15013`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
8.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3184 to 1874 computations (41.1% saved)

series798.0ms (4.2%)

Error

0.3b

Counts

4 → 33

Calls

4 calls:

347.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
197.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
104.0ms	(.f64 (.f64 x 18) y)
102.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3267 to 2629 computations (19.5% saved)

simplify426.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64_15088`
458×	`associate-l_binary64_15023`
405×	`pow-sqr_binary64_15055`
396×	`sqr-pow_binary64_15054`
310×	`associate-r_binary64_15022`
235×	`associate-/l*_binary64_15027`
167×	`associate-+l+_binary64_15015`
162×	`exp-prod_binary64_15134`
159×	`log-prod_binary64_15168`
148×	`cube-prod_binary64_15110`
137×	`swap-sqr_binary64_15049`
127×	`associate-+r+_binary64_15014`
125×	`associate-/r/_binary64_15028`
100×	`associate-/l/_binary64_15029`
90×	`*-commutative_binary64_15013`
84×	`unswap-sqr_binary64_15050`
78×	`associate-*r/_binary64_15024`
58×	`associate-/r*_binary64_15026`
39×	`unpow3_binary64_15148`
38×	`cube-mult_binary64_15112`
36×	`*-rgt-identity_binary64_15072`
34×	`associate-*l/_binary64_15025`
31×	`*-lft-identity_binary64_15071` `+-commutative_binary64_15012`
15×	`cube-unmult_binary64_15119`
8×	`log-div_binary64_15169` `/-rgt-identity_binary64_15073` `+-lft-identity_binary64_15066`
7×	`cube-div_binary64_15111` `+-rgt-identity_binary64_15067`
6×	`log-pow_binary64_15171`
5×	`pow-plus_binary64_15145`
3×	`exp-sqrt_binary64_15135`
2×	`pow-base-1_binary64_15142`
1×	`log-rec_binary64_15170` `exp-to-pow_binary64_15144` `prod-exp_binary64_15131` `exp-sum_binary64_15128` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-log-exp_binary64_15123` `mul0-lft_binary64_15064` `rgt-mult-inverse_binary64_15059` `distribute-rgt1-in_binary64_15038` `distribute-rgt-out_binary64_15035` `distribute-rgt-in_binary64_15032` `count-2_binary64_15030`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `div-sub_binary64_15087` `neg-mul-1_binary64_15078` `neg-sub0_binary64_15077` `unsub-neg_binary64_15076` `sub-neg_binary64_15075` `mul-1-neg_binary64_15074` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `mul0-rgt_binary64_15065` `div0_binary64_15063` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `cancel-sign-sub-inv_binary64_15048` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039` `distribute-lft1-in_binary64_15037` `distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033` `distribute-lft-in_binary64_15031` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate--l+_binary64_15019` `associate--r+_binary64_15018` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`

Counts

114 → 247

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1545
1	330	1236
2	1443	1236
3	1965	1236
4	2804	1236
5	3972	1236

prune637.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	250	7	257

Error

0.0b

Counts

257 → 7

Compiler

Compiled 9994 to 5511 computations (44.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 (.f64 k j) (sqrt.f64 27))
4.2b	(.f64 (.f64 (*.f64 x 18) y) z)
7.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite238.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
22×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
15×	`associate-r_binary64_15022`
9×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
4×	`add-log-exp_binary64_15121` `associate-l_binary64_15023` `*-commutative_binary64_15013`
3×	`sqrt-prod_binary64_15098`

Counts

4 → 84

Calls

4 calls:

11.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 k j) (sqrt.f64 27))
5.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3647 to 2295 computations (37.1% saved)

series869.0ms (4.6%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

362.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
202.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
150.0ms	(.f64 (.f64 k j) (sqrt.f64 27))
91.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3663 to 3031 computations (17.3% saved)

simplify432.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

643×	`times-frac_binary64_15088`
508×	`associate-l_binary64_15023`
422×	`sqr-pow_binary64_15054`
339×	`associate-r_binary64_15022`
254×	`associate-/l*_binary64_15027`
186×	`pow-sqr_binary64_15055`
185×	`associate-+l+_binary64_15015`
179×	`exp-prod_binary64_15134`
174×	`log-prod_binary64_15168`
162×	`cube-prod_binary64_15110`
149×	`associate-+r+_binary64_15014`
144×	`swap-sqr_binary64_15049`
131×	`associate-/r/_binary64_15028`
102×	`associate-/l/_binary64_15029`
96×	`*-commutative_binary64_15013`
90×	`unswap-sqr_binary64_15050`
83×	`associate-*r/_binary64_15024`
64×	`associate-/r*_binary64_15026`
42×	`*-lft-identity_binary64_15071`
38×	`unpow3_binary64_15148` `*-rgt-identity_binary64_15072`
37×	`cube-mult_binary64_15112`
33×	`+-commutative_binary64_15012`
32×	`associate-*l/_binary64_15025`
15×	`cube-unmult_binary64_15119`
9×	`+-lft-identity_binary64_15066`
8×	`log-div_binary64_15169` `+-rgt-identity_binary64_15067`
7×	`cube-div_binary64_15111`
6×	`log-pow_binary64_15171`
5×	`pow-plus_binary64_15145`
3×	`exp-sqrt_binary64_15135` `rem-sqrt-square_binary64_15095`
2×	`pow-base-1_binary64_15142`
1×	`log-rec_binary64_15170` `exp-to-pow_binary64_15144` `prod-exp_binary64_15131` `exp-sum_binary64_15128` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-log-exp_binary64_15123` `rem-square-sqrt_binary64_15094` `/-rgt-identity_binary64_15073` `rgt-mult-inverse_binary64_15059` `distribute-rgt1-in_binary64_15038` `distribute-rgt-out_binary64_15035` `distribute-rgt-in_binary64_15032` `count-2_binary64_15030`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `div-sub_binary64_15087` `neg-mul-1_binary64_15078` `neg-sub0_binary64_15077` `unsub-neg_binary64_15076` `sub-neg_binary64_15075` `mul-1-neg_binary64_15074` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `cancel-sign-sub-inv_binary64_15048` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039` `distribute-lft1-in_binary64_15037` `distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033` `distribute-lft-in_binary64_15031` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate--l+_binary64_15019` `associate--r+_binary64_15018` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`

Counts

117 → 286

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1617
1	354	1317
2	1583	1317
3	2101	1317
4	2986	1317
5	4211	1317

prune1.0s (5.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	286	7	293

Error

0.0b

Counts

293 → 7

Compiler

Compiled 12393 to 7349 computations (40.7% saved)

regimes3.2s (16.8%)

Accuracy

Total 1.5b remaining (95.7%)

Threshold costs 0b (0%)

Compiler

Compiled 29033 to 26409 computations (9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 25 to 25 computations (0% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

41×	`*-commutative_binary64_15013`
31×	`+-commutative_binary64_15012`
28×	`sub-neg_binary64_15075`
24×	`distribute-rgt-neg-in_binary64_15040`
20×	`neg-mul-1_binary64_15078` `neg-sub0_binary64_15077`
19×	`distribute-lft-neg-in_binary64_15039`
16×	`cancel-sign-sub-inv_binary64_15048`
5×	`distribute-lft-neg-out_binary64_15041`
1×	`if-if-or-not_binary64_15340` `unpow1_binary64_15140` `1-exp_binary64_15126`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `unsub-neg_binary64_15076` `mul-1-neg_binary64_15074` `/-rgt-identity_binary64_15073` `-rgt-identity_binary64_15072` `-lft-identity_binary64_15071` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	178
1	115	178
2	179	178
3	231	178
4	260	178
5	269	178

Proof

(=> (if real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 (* f64 h4 4) h3)) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (pow f64 (* f64 27 (* f64 h9 h10)) 1)) (if real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 (* f64 h4 4) h3)) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 (* f64 h10 27) h9)) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (pow f64 (* f64 27 (* f64 h9 h10)) 1)))))
if-if-or-not_binary64_15340 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 (* f64 h4 4) h3)) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 (* f64 h4 4) h3)) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (=> (pow f64 (* f64 27 (* f64 h9 h10)) 1))) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 (* f64 h10 27) h9)))
unpow1_binary64_15140 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 (* f64 h4 4) h3)) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (=> (* f64 (* f64 h4 4) h3))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 (* f64 h10 27) h9)))
*-commutative_binary64_15013 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (=> (* f64 (* f64 h4 4) h3))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 (* f64 h10 27) h9)))
*-commutative_binary64_15013 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (=> (* f64 (* f64 h10 27) h9))))
*-commutative_binary64_15013 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 h9 (=> (* f64 h10 27)))))
*-commutative_binary64_15013 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (=> (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4))) (* f64 h5 h6))) (* f64 (* f64 h0 4) h7)) (* f64 h9 (* f64 27 h10))))
+-commutative_binary64_15012 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (=> (+ f64 (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4))) (* f64 h5 h6))) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (* f64 h5 h6) (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4)))) (* f64 (* f64 h0 4) h7)) (* f64 h9 (* f64 27 h10))))
+-commutative_binary64_15012 =>
(if real (or real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) h8) (not real (<= f64 (- f64 (+ f64 (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 h3 (* f64 h4 4))) (* f64 h5 h6)) (* f64 (* f64 h0 4) h7)) 1771034213273334447325611172687139203690128029406243475801610682199384815290413164737456274602207099364965854749588241978320854369110151276414746168758118292372292352273739177008446950649811562234627772275048458667015964277550943701856631219356185814302965699675520500687445770820252577900643697557504))) (- f64 (- f64 (+ f64 (* f64 h5 h6) (- f64 (* f64 18 (* f64 (* f64 h0 h2) (* f64 h1 h3))) (* f64 h4 (* f64 h3 4)))) (* f64 (* f64 h0 4) h7)) (* f64 27 (* f64 h9 h10))) (- f64 (- f64 (+ f64 (* f64 h5 h6) (- f64 (* f64 (* f64 (* f64 (* f64 h0 18) h1) h2) h3) (* f64 4 (* f64 h3 h4)))) (* f64 (* f64 h0 4) h7)) (* f64 h9 (* f64 27 h10))))

end0.0ms (0%)

sample3.9s (21%)

Algorithm

1×

intervals

Results

948.0ms	8000×	body	128	valid
665.0ms	8009×	body	128	invalid

Compiler

Compiled 1855 to 1624 computations (12.5% saved)

Details

analyze2.2s (11.6%)

sample85.0ms (0.5%)

simplify609.0ms (3.2%)

prune17.0ms (0.1%)

localize29.0ms (0.2%)

rewrite200.0ms (1.1%)

series797.0ms (4.2%)

simplify428.0ms (2.3%)

prune567.0ms (3%)

localize23.0ms (0.1%)

rewrite190.0ms (1%)

series767.0ms (4.1%)

simplify413.0ms (2.2%)

prune669.0ms (3.6%)

localize28.0ms (0.2%)

rewrite199.0ms (1.1%)

series798.0ms (4.2%)

simplify426.0ms (2.3%)

prune637.0ms (3.4%)

localize27.0ms (0.1%)

rewrite238.0ms (1.3%)

series869.0ms (4.6%)

simplify432.0ms (2.3%)

prune1.0s (5.5%)

regimes3.2s (16.8%)

bsearch4.0ms (0%)

simplify28.0ms (0.1%)

end0.0ms (0%)

sample3.9s (21%)

Profiling