Details

analyze448.0ms (2.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify615.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

474×	`unsub-neg_binary64_15076`
454×	`exp-sum_binary64_15128`
345×	`swap-sqr_binary64_15049`
316×	`exp-prod_binary64_15134`
314×	`cube-prod_binary64_15110`
296×	`exp-diff_binary64_15130`
257×	`distribute-rgt-in_binary64_15032`
238×	`distribute-rgt1-in_binary64_15038`
186×	`distribute-neg-in_binary64_15043`
179×	`unpow3_binary64_15148`
168×	`distribute-neg-out_binary64_15044` `distribute-lft-neg-in_binary64_15039`
155×	`distribute-rgt-neg-out_binary64_15042`
149×	`associate-+l-_binary64_15017`
143×	`neg-sub0_binary64_15077`
142×	`distribute-rgt-neg-in_binary64_15040`
136×	`neg-mul-1_binary64_15078`
132×	`*-commutative_binary64_15013`
126×	`distribute-lft-in_binary64_15031`
125×	`pow-plus_binary64_15145`
119×	`sub-neg_binary64_15075`
118×	`distribute-lft-neg-out_binary64_15041`
101×	`associate-+l+_binary64_15015`
88×	`+-commutative_binary64_15012`
78×	`associate-+r+_binary64_15014`
72×	`distribute-rgt-out_binary64_15035` `associate-r_binary64_15022`
63×	`sqr-neg_binary64_15096`
60×	`remove-double-neg_binary64_15070`
57×	`associate--r+_binary64_15018`
56×	`associate-l_binary64_15023`
51×	`associate--l+_binary64_15019`
48×	`exp-neg_binary64_15129`
46×	`associate-+r-_binary64_15016`
43×	`associate-/r*_binary64_15026`
35×	`cancel-sign-sub-inv_binary64_15048`
34×	`associate--r-_binary64_15021`
29×	`associate--l-_binary64_15020`
28×	`sub0-neg_binary64_15069`
22×	`distribute-lft-out_binary64_15033`
20×	`+-rgt-identity_binary64_15067`
16×	`associate-/l/_binary64_15029`
15×	`exp-lft-sqr_binary64_15137`
14×	`unswap-sqr_binary64_15050`
10×	`mul0-rgt_binary64_15065`
8×	`mul0-lft_binary64_15064` `count-2_binary64_15030`
6×	`distribute-rgt-out--_binary64_15036`
5×	`+-lft-identity_binary64_15066` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `distribute-lft1-in_binary64_15037`
3×	`cube-unmult_binary64_15119` `mul-1-neg_binary64_15074` `/-rgt-identity_binary64_15073`
2×	`difference-of-sqr--1_binary64_15053` `difference-of-squares_binary64_15051`
1×	`pow-base-0_binary64_15166` `pow-base-1_binary64_15142` `1-exp_binary64_15126` `*-lft-identity_binary64_15071` `--rgt-identity_binary64_15068`
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` `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` `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_15072` `div0_binary64_15063` `-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-lft-out--_binary64_15034` `associate-/r/_binary64_15028` `associate-/l_binary64_15027` `associate-l/_binary64_15025` `associate-*r/_binary64_15024`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	86	13
4	202	13
5	423	13
6	923	13
7	1839	13
8	3848	13

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.1b

Counts

3 → 2

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.5b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite244.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

210×	`times-frac_binary64_15088`
176×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
88×	`add-cube-cbrt_binary64_15117`
44×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
24×	`associate-/l*_binary64_15027`
16×	`associate-/r/_binary64_15028`
10×	`associate-/r*_binary64_15026`
9×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
8×	`div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
2×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`associate-/l/_binary64_15029`

Counts

2 → 185

Calls

2 calls:

19.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 3948 to 773 computations (80.4% saved)

series836.0ms (5.2%)

Error

0.1b

Counts

2 → 51

Calls

2 calls:

572.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
206.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 2932 to 1832 computations (37.5% saved)

simplify468.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

404×	`distribute-rgt-in_binary64_15032`
341×	`associate-/l/_binary64_15029`
328×	`distribute-lft-in_binary64_15031`
276×	`associate-/r*_binary64_15026`
250×	`times-frac_binary64_15088`
198×	`associate-/l*_binary64_15027`
155×	`cancel-sign-sub-inv_binary64_15048`
152×	`distribute-neg-frac_binary64_15046`
116×	`distribute-rgt-neg-in_binary64_15040`
114×	`associate-/r/_binary64_15028`
113×	`distribute-lft-neg-in_binary64_15039`
105×	`*-commutative_binary64_15013`
99×	`sub-neg_binary64_15075`
96×	`distribute-neg-in_binary64_15043`
93×	`div-sub_binary64_15087`
89×	`neg-sub0_binary64_15077`
87×	`neg-mul-1_binary64_15078`
81×	`*-rgt-identity_binary64_15072`
76×	`associate-*l/_binary64_15025`
70×	`+-commutative_binary64_15012`
64×	`associate-l_binary64_15023`
57×	`associate-r_binary64_15022`
53×	`associate-+r+_binary64_15014`
48×	`associate-+l+_binary64_15015`
44×	`unsub-neg_binary64_15076`
41×	`sqr-pow_binary64_15054` `associate-*r/_binary64_15024`
39×	`unswap-sqr_binary64_15050`
38×	`distribute-lft-neg-out_binary64_15041`
36×	`distribute-rgt-neg-out_binary64_15042` `distribute-rgt-out_binary64_15035`
25×	`/-rgt-identity_binary64_15073`
21×	`*-lft-identity_binary64_15071` `associate--r+_binary64_15018`
18×	`pow-sqr_binary64_15055`
16×	`div-exp_binary64_15133` `prod-exp_binary64_15131`
15×	`log-div_binary64_15169` `pow-plus_binary64_15145`
14×	`difference-of-squares_binary64_15051`
11×	`distribute-rgt-out--_binary64_15036`
9×	`associate--l+_binary64_15019`
7×	`log-prod_binary64_15168` `distribute-rgt1-in_binary64_15038` `distribute-lft-out_binary64_15033`
6×	`cube-unmult_binary64_15119`
5×	`unpow2_binary64_15147` `unpow1_binary64_15140` `cube-div_binary64_15111` `cube-prod_binary64_15110`
4×	`rec-exp_binary64_15132` `div0_binary64_15063` `swap-sqr_binary64_15049` `distribute-lft-out--_binary64_15034`
3×	`unpow3_binary64_15148` `cube-mult_binary64_15112` `mul-1-neg_binary64_15074` `distribute-lft1-in_binary64_15037`
2×	`distribute-neg-out_binary64_15044` `associate--r-_binary64_15021`
1×	`log-rec_binary64_15170` `exp-prod_binary64_15134` `1-exp_binary64_15126` `rem-log-exp_binary64_15123` `remove-double-neg_binary64_15070` `+-rgt-identity_binary64_15067` `*-inverses_binary64_15062` `associate--l-_binary64_15020` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`
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` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow1/2_binary64_15146` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `exp-sum_binary64_15128` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `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` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `count-2_binary64_15030`

Counts

236 → 638

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	6310
1	1015	6139
2	3596	5964

prune626.0ms (3.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	633	7	640

Error

Counts

640 → 7

Compiler

Compiled 14944 to 2424 computations (83.8% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
2.0b	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite197.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

210×	`times-frac_binary64_15088`
176×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
88×	`add-cube-cbrt_binary64_15117`
44×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
24×	`associate-/l*_binary64_15027`
16×	`associate-/r/_binary64_15028`
10×	`associate-/r*_binary64_15026`
9×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
8×	`div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
2×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `frac-2neg_binary64_15093` `clear-num_binary64_15081`
1×	`associate-/l/_binary64_15029`

Counts

2 → 185

Calls

2 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
6.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 3948 to 773 computations (80.4% saved)

series881.0ms (5.5%)

Error

Counts

2 → 51

Calls

2 calls:

617.0ms	(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
211.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 2932 to 1832 computations (37.5% saved)

simplify468.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

403×	`distribute-rgt-in_binary64_15032`
343×	`associate-/l/_binary64_15029`
320×	`distribute-lft-in_binary64_15031`
265×	`associate-/r*_binary64_15026`
228×	`times-frac_binary64_15088`
193×	`associate-/l*_binary64_15027`
151×	`cancel-sign-sub-inv_binary64_15048`
150×	`distribute-neg-frac_binary64_15046`
115×	`associate-/r/_binary64_15028`
111×	`distribute-rgt-neg-in_binary64_15040`
108×	`distribute-lft-neg-in_binary64_15039`
105×	`*-commutative_binary64_15013`
99×	`sub-neg_binary64_15075`
94×	`distribute-neg-in_binary64_15043`
89×	`div-sub_binary64_15087`
88×	`neg-sub0_binary64_15077`
86×	`neg-mul-1_binary64_15078`
77×	`*-rgt-identity_binary64_15072`
76×	`associate-*l/_binary64_15025`
72×	`+-commutative_binary64_15012`
64×	`associate-l_binary64_15023`
57×	`associate-r_binary64_15022`
52×	`associate-+r+_binary64_15014`
48×	`associate-+l+_binary64_15015`
44×	`unsub-neg_binary64_15076`
42×	`distribute-rgt-out_binary64_15035`
41×	`sqr-pow_binary64_15054`
38×	`distribute-lft-neg-out_binary64_15041`
37×	`unswap-sqr_binary64_15050`
36×	`distribute-rgt-neg-out_binary64_15042`
30×	`associate-*r/_binary64_15024`
25×	`/-rgt-identity_binary64_15073`
21×	`*-lft-identity_binary64_15071` `associate--r+_binary64_15018`
18×	`pow-sqr_binary64_15055`
16×	`div-exp_binary64_15133` `prod-exp_binary64_15131`
15×	`pow-plus_binary64_15145`
14×	`log-div_binary64_15169` `difference-of-squares_binary64_15051`
11×	`distribute-rgt-out--_binary64_15036`
9×	`associate--l+_binary64_15019`
7×	`log-prod_binary64_15168` `distribute-rgt1-in_binary64_15038`
6×	`cube-unmult_binary64_15119`
5×	`unpow2_binary64_15147` `unpow1_binary64_15140` `cube-div_binary64_15111` `cube-prod_binary64_15110` `distribute-lft-out_binary64_15033`
4×	`rec-exp_binary64_15132` `div0_binary64_15063` `swap-sqr_binary64_15049` `distribute-lft-out--_binary64_15034`
3×	`unpow3_binary64_15148` `cube-mult_binary64_15112` `mul-1-neg_binary64_15074`
2×	`distribute-neg-out_binary64_15044` `distribute-lft1-in_binary64_15037` `associate--r-_binary64_15021`
1×	`log-rec_binary64_15170` `exp-prod_binary64_15134` `1-exp_binary64_15126` `rem-log-exp_binary64_15123` `remove-double-neg_binary64_15070` `+-rgt-identity_binary64_15067` `*-inverses_binary64_15062` `associate--l-_binary64_15020` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`
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` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow1/2_binary64_15146` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `exp-sum_binary64_15128` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `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` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `count-2_binary64_15030`

Counts

236 → 594

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	6310
1	1006	6139
2	3522	5964

prune610.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	594	0	594
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	594	7	601

Error

Counts

601 → 7

Compiler

Compiled 14095 to 2295 computations (83.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t z) x)
0.9b	(/.f64 1 (*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z)))
2.0b	(*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z))

rewrite152.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_15104`
43×	`*-un-lft-identity_binary64_15082`
34×	`times-frac_binary64_15088`
31×	`add-exp-log_binary64_15120`
27×	`add-cube-cbrt_binary64_15117`
19×	`add-cbrt-cube_binary64_15118` `associate-l_binary64_15023`
11×	`div-exp_binary64_15133`
8×	`pow1_binary64_15143` `prod-exp_binary64_15131` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `associate-/l*_binary64_15027`
6×	`cbrt-undiv_binary64_15116` `cancel-sign-sub-inv_binary64_15048`
5×	`flip3--_binary64_15086` `flip--_binary64_15057` `associate-r_binary64_15022` `associate-/r/_binary64_15028`
4×	`cbrt-unprod_binary64_15115` `frac-times_binary64_15092` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-r/_binary64_15024` `associate-/r_binary64_15026`
3×	`add-log-exp_binary64_15121` `div-inv_binary64_15079` `1-exp_binary64_15126` `rec-exp_binary64_15132`
2×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `sub-neg_binary64_15075` `associate-*l/_binary64_15025` `pow-flip_binary64_15156` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l/_binary64_15029`
1×	`*-commutative_binary64_15013` `inv-pow_binary64_15167` `div-sub_binary64_15087`

Counts

3 → 127

Calls

3 calls:

14.0ms	(*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z))
12.0ms	(/.f64 1 (*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z)))
6.0ms	(/.f64 (-.f64 t z) x)

Compiler

Compiled 2424 to 706 computations (70.9% saved)

series1.3s (8.2%)

Error

Counts

3 → 66

Calls

3 calls:

571.0ms	(/.f64 1 (*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z)))
512.0ms	(*.f64 (/.f64 (-.f64 t z) x) (-.f64 y z))
168.0ms	(/.f64 (-.f64 t z) x)

Compiler

Compiled 3501 to 2179 computations (37.8% saved)

simplify669.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64_15028`
237×	`times-frac_binary64_15088`
235×	`associate-/l*_binary64_15027`
205×	`div-sub_binary64_15087`
181×	`associate-/r*_binary64_15026`
150×	`distribute-neg-frac_binary64_15046`
149×	`cancel-sign-sub-inv_binary64_15048`
132×	`associate-l_binary64_15023`
121×	`sub-neg_binary64_15075` `associate-r_binary64_15022`
120×	`*-commutative_binary64_15013`
119×	`distribute-lft-neg-out_binary64_15041`
118×	`distribute-rgt-neg-out_binary64_15042`
115×	`associate-*l/_binary64_15025`
113×	`distribute-rgt-neg-in_binary64_15040`
107×	`distribute-rgt-in_binary64_15032`
103×	`distribute-lft-neg-in_binary64_15039`
101×	`neg-sub0_binary64_15077`
100×	`distribute-neg-in_binary64_15043`
89×	`neg-mul-1_binary64_15078`
85×	`distribute-lft-in_binary64_15031`
72×	`associate-*r/_binary64_15024`
71×	`+-commutative_binary64_15012`
58×	`unsub-neg_binary64_15076`
54×	`associate-/l/_binary64_15029`
48×	`sqr-pow_binary64_15054`
45×	`associate-+r+_binary64_15014`
40×	`associate-+l+_binary64_15015`
36×	`distribute-rgt-out_binary64_15035`
34×	`unswap-sqr_binary64_15050`
32×	`*-rgt-identity_binary64_15072`
30×	`log-div_binary64_15169`
29×	`associate--r+_binary64_15018`
26×	`swap-sqr_binary64_15049`
24×	`*-lft-identity_binary64_15071`
23×	`cube-div_binary64_15111` `/-rgt-identity_binary64_15073`
20×	`pow-sqr_binary64_15055`
17×	`log-prod_binary64_15168` `exp-prod_binary64_15134`
16×	`pow-plus_binary64_15145` `cube-prod_binary64_15110` `associate--l+_binary64_15019`
15×	`distribute-neg-out_binary64_15044`
14×	`mul-1-neg_binary64_15074`
11×	`exp-sum_binary64_15128`
10×	`distribute-frac-neg_binary64_15045`
8×	`cube-unmult_binary64_15119` `difference-of-squares_binary64_15051`
7×	`exp-diff_binary64_15130`
6×	`distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034`
5×	`log-rec_binary64_15170` `unpow2_binary64_15147` `unpow1_binary64_15140` `remove-double-neg_binary64_15070` `distribute-lft-out_binary64_15033` `associate-+r-_binary64_15016`
4×	`+-rgt-identity_binary64_15067`
3×	`unpow3_binary64_15148` `cube-mult_binary64_15112` `div0_binary64_15063` `distribute-rgt1-in_binary64_15038` `associate--r-_binary64_15021`
2×	`rem-sqrt-square_binary64_15095` `distribute-lft1-in_binary64_15037`
1×	`log-pow_binary64_15171` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-log-exp_binary64_15123` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `*-inverses_binary64_15062` `cancel-sign-sub_binary64_15047` `count-2_binary64_15030` `associate-+l-_binary64_15017`
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` `unpow1/2_binary64_15146` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `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-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `associate--l-_binary64_15020`

Counts

193 → 393

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3899
1	888	3508
2	3384	3273

prune375.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	393	7	400

Error

Counts

400 → 7

Compiler

Compiled 7826 to 2070 computations (73.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z))
3.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z)))

rewrite728.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

695×	`times-frac_binary64_15088`
554×	`add-sqr-sqrt_binary64_15104`
545×	`*-un-lft-identity_binary64_15082`
267×	`add-cube-cbrt_binary64_15117`
186×	`associate-r_binary64_15022`
172×	`cbrt-prod_binary64_15113`
139×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
36×	`associate-/l*_binary64_15027`
30×	`add-exp-log_binary64_15120`
26×	`associate-/r/_binary64_15028`
21×	`add-cbrt-cube_binary64_15118`
13×	`div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
9×	`pow1_binary64_15143` `div-exp_binary64_15133` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116`
5×	`associate-/r*_binary64_15026`
4×	`add-log-exp_binary64_15121` `unswap-sqr_binary64_15050`
3×	`pow-prod-down_binary64_15153`
2×	`pow1/3_binary64_15164`
1×	`associate-r/_binary64_15024` `associate-l_binary64_15023` `-commutative_binary64_15013` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l/_binary64_15029`

Counts

4 → 474

Calls

4 calls:

60.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z)))
17.0ms	(/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 14618 to 2273 computations (84.5% saved)

series1.5s (9.6%)

Error

Counts

4 → 51

Calls

4 calls:

622.0ms	(/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z))
608.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 x) (-.f64 y z)) (-.f64 t z)))
122.0ms	(cbrt.f64 x)
113.0ms	(cbrt.f64 x)

Compiler

Compiled 3880 to 2476 computations (36.2% saved)

simplify875.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-/l*_binary64_15027`
458×	`times-frac_binary64_15088`
445×	`associate-/r*_binary64_15026`
180×	`*-commutative_binary64_15013`
176×	`associate-/l/_binary64_15029`
158×	`associate-/r/_binary64_15028`
136×	`associate-r/_binary64_15024` `associate-l*_binary64_15023`
79×	`distribute-rgt-in_binary64_15032`
59×	`distribute-lft-in_binary64_15031`
54×	`sub-neg_binary64_15075`
43×	`unswap-sqr_binary64_15050`
40×	`distribute-neg-in_binary64_15043`
38×	`neg-sub0_binary64_15077` `+-commutative_binary64_15012`
32×	`neg-mul-1_binary64_15078` `/-rgt-identity_binary64_15073`
28×	`div-sub_binary64_15087` `distribute-neg-frac_binary64_15046`
25×	`sqr-pow_binary64_15054`
22×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-neg-in_binary64_15040`
18×	`distribute-lft-neg-in_binary64_15039`
17×	`distribute-rgt-out_binary64_15035` `associate-+r+_binary64_15014`
14×	`associate-*l/_binary64_15025`
13×	`pow-sqr_binary64_15055`
11×	`associate-r_binary64_15022`
10×	`difference-of-squares_binary64_15051`
9×	`unsub-neg_binary64_15076`
8×	`log-div_binary64_15169` `exp-prod_binary64_15134` `mul-1-neg_binary64_15074`
7×	`log-prod_binary64_15168` `cube-unmult_binary64_15119` `*-lft-identity_binary64_15071` `distribute-lft-out_binary64_15033`
6×	`pow-plus_binary64_15145` `*-rgt-identity_binary64_15072`
5×	`unpow2_binary64_15147` `swap-sqr_binary64_15049`
4×	`unpow3_binary64_15148` `cube-mult_binary64_15112` `associate--l+_binary64_15019`
2×	`unpow1/3_binary64_15149` `distribute-lft-neg-out_binary64_15041` `distribute-lft-out--_binary64_15034`
1×	`log-pow_binary64_15171` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `1-exp_binary64_15126` `rem-3cbrt-lft_binary64_15107` `rem-cube-cbrt_binary64_15105` `rem-sqrt-square_binary64_15095` `*-inverses_binary64_15062` `distribute-frac-neg_binary64_15045` `distribute-rgt-out--_binary64_15036` `count-2_binary64_15030` `associate--l-_binary64_15020` `associate--r+_binary64_15018` `associate-+r-_binary64_15016` `associate-+l+_binary64_15015`
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-rec_binary64_15170` `pow-base-0_binary64_15166` `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-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `exp-sum_binary64_15128` `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-div_binary64_15111` `cube-prod_binary64_15110` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-cbrt-cube_binary64_15106` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-neg-out_binary64_15044` `distribute-rgt-neg-out_binary64_15042` `distribute-rgt1-in_binary64_15038` `distribute-lft1-in_binary64_15037` `associate--r-_binary64_15021` `associate-+l-_binary64_15017`

Counts

525 → 1249

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	15759
1	1985	15124

prune1.9s (12%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1249	0	1249
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	1249	7	1256

Error

Counts

1256 → 7

Compiler

Compiled 37744 to 5759 computations (84.7% saved)

regimes975.0ms (6.1%)

Accuracy

Total 1.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 9190 to 6344 computations (31% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_15075` `+-commutative_binary64_15012`
2×	`*-commutative_binary64_15013`
1×	`1-exp_binary64_15126` `neg-mul-1_binary64_15078` `neg-sub0_binary64_15077` `/-rgt-identity_binary64_15073`
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-not_binary64_15340` `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` `unpow1_binary64_15140` `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_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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	23	43
2	28	43
3	30	43
4	31	43

Proof

(* f64 (=> (/ f64 (/ f64 (* f64 (cbrt f64 h0) (cbrt f64 h0)) (* f64 (cbrt f64 (- f64 h1 h2)) (cbrt f64 (- f64 h1 h2)))) 1)) (/ f64 (/ f64 (cbrt f64 h0) (cbrt f64 (- f64 h1 h2))) (- f64 h3 h2)))
/-rgt-identity_binary64_15073 =>
(* f64 (/ f64 (* f64 (cbrt f64 h0) (cbrt f64 h0)) (* f64 (cbrt f64 (- f64 h1 h2)) (cbrt f64 (- f64 h1 h2)))) (/ f64 (/ f64 (cbrt f64 h0) (cbrt f64 (- f64 h1 h2))) (- f64 h3 h2)))

end0.0ms (0%)

sample1.9s (12.2%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
13.0ms	436×	body	128	invalid

Compiler

Compiled 1594 to 1090 computations (31.6% saved)

Details

analyze448.0ms (2.8%)

sample22.0ms (0.1%)

simplify615.0ms (3.9%)

prune7.0ms (0%)

localize7.0ms (0%)

rewrite244.0ms (1.5%)

series836.0ms (5.2%)

simplify468.0ms (2.9%)

prune626.0ms (3.9%)

localize8.0ms (0%)

rewrite197.0ms (1.2%)

series881.0ms (5.5%)

simplify468.0ms (2.9%)

prune610.0ms (3.8%)

localize8.0ms (0.1%)

rewrite152.0ms (1%)

series1.3s (8.2%)

simplify669.0ms (4.2%)

prune375.0ms (2.4%)

localize11.0ms (0.1%)

rewrite728.0ms (4.6%)

series1.5s (9.6%)

simplify875.0ms (5.5%)

prune1.9s (12%)

regimes975.0ms (6.1%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample1.9s (12.2%)

Profiling