Details

analyze1.0s (13.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`unsub-neg_binary64_15076`
699×	`div-sub_binary64_15087`
554×	`sub-neg_binary64_15075`
537×	`associate-/l*_binary64_15027`
519×	`neg-mul-1_binary64_15078`
516×	`distribute-rgt-in_binary64_15032`
433×	`neg-sub0_binary64_15077`
396×	`associate-/r*_binary64_15026`
381×	`*-commutative_binary64_15013`
378×	`distribute-frac-neg_binary64_15045`
367×	`distribute-rgt-neg-in_binary64_15040`
355×	`distribute-lft-neg-in_binary64_15039`
340×	`cancel-sign-sub-inv_binary64_15048`
295×	`distribute-neg-frac_binary64_15046`
261×	`associate--r+_binary64_15018`
237×	`distribute-lft-in_binary64_15031`
224×	`distribute-rgt-neg-out_binary64_15042`
209×	`distribute-lft-neg-out_binary64_15041`
165×	`+-commutative_binary64_15012`
158×	`remove-double-neg_binary64_15070`
145×	`distribute-neg-in_binary64_15043`
112×	`associate-+l-_binary64_15017`
105×	`distribute-neg-out_binary64_15044`
92×	`associate--l+_binary64_15019`
79×	`associate-+r+_binary64_15014`
68×	`/-rgt-identity_binary64_15073` `distribute-rgt-out--_binary64_15036`
67×	`div0_binary64_15063`
66×	`mul0-rgt_binary64_15065`
63×	`associate-/r/_binary64_15028`
62×	`mul0-lft_binary64_15064`
59×	`associate-+l+_binary64_15015`
55×	`sub0-neg_binary64_15069`
53×	`distribute-rgt-out_binary64_15035`
51×	`associate-*l/_binary64_15025`
41×	`associate-r_binary64_15022`
38×	`associate-+r-_binary64_15016`
36×	`+-rgt-identity_binary64_15067`
30×	`associate-*r/_binary64_15024`
27×	`*-lft-identity_binary64_15071`
26×	`distribute-lft-out--_binary64_15034` `associate-l_binary64_15023` `associate--l-_binary64_15020`
23×	`associate--r-_binary64_15021`
19×	`+-lft-identity_binary64_15066`
16×	`*-rgt-identity_binary64_15072`
12×	`distribute-rgt1-in_binary64_15038`
11×	`associate-/l/_binary64_15029`
8×	`distribute-lft1-in_binary64_15037`
2×	`distribute-lft-out_binary64_15033`
1×	`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` `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` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow3_binary64_15148` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `pow-plus_binary64_15145` `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-prod_binary64_15134` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `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-unmult_binary64_15119` `cube-mult_binary64_15112` `cube-div_binary64_15111` `cube-prod_binary64_15110` `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` `times-frac_binary64_15088` `mul-1-neg_binary64_15074` `--rgt-identity_binary64_15068` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `unswap-sqr_binary64_15050` `swap-sqr_binary64_15049` `cancel-sign-sub_binary64_15047` `count-2_binary64_15030`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	91
1	69	91
2	184	91
3	332	91
4	615	91
5	1292	91
6	2231	91
7	3697	91
8	3786	91
9	4062	91
10	4186	91
11	4326	91
12	4483	91
13	4571	91
14	4845	91
15	4963	91
16	4963	91
17	4963	91
18	4914	91
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
2.0ms	68×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

220×	`cancel-sign-sub-inv_binary64_15048`
144×	`distribute-rgt-in_binary64_15032`
112×	`div-sub_binary64_15087`
99×	`distribute-lft-in_binary64_15031`
98×	`unsub-neg_binary64_15076`
92×	`associate-/l*_binary64_15027`
80×	`sub-neg_binary64_15075`
69×	`associate-r_binary64_15022`
64×	`associate-l_binary64_15023`
62×	`distribute-rgt-neg-in_binary64_15040`
54×	`associate-/r*_binary64_15026`
51×	`distribute-rgt-neg-out_binary64_15042`
46×	`distribute-lft-neg-out_binary64_15041`
42×	`neg-mul-1_binary64_15078`
39×	`*-commutative_binary64_15013`
37×	`associate-/r/_binary64_15028`
35×	`distribute-neg-in_binary64_15043` `distribute-lft-neg-in_binary64_15039` `associate--r+_binary64_15018`
34×	`neg-sub0_binary64_15077`
28×	`associate-+l-_binary64_15017`
27×	`distribute-neg-frac_binary64_15046` `associate-/l/_binary64_15029`
26×	`mul0-lft_binary64_15064` `associate-*l/_binary64_15025`
25×	`mul0-rgt_binary64_15065`
18×	`+-commutative_binary64_15012`
17×	`sub0-neg_binary64_15069` `+-lft-identity_binary64_15066`
15×	`distribute-rgt-out--_binary64_15036`
13×	`associate-+l+_binary64_15015` `associate-+r+_binary64_15014`
12×	`remove-double-neg_binary64_15070` `distribute-frac-neg_binary64_15045` `associate-+r-_binary64_15016`
11×	`associate--r-_binary64_15021`
10×	`associate-*r/_binary64_15024`
9×	`*-lft-identity_binary64_15071` `distribute-rgt-out_binary64_15035`
8×	`*-rgt-identity_binary64_15072` `associate--l+_binary64_15019`
6×	`div0_binary64_15063`
5×	`--rgt-identity_binary64_15068`
4×	`/-rgt-identity_binary64_15073`
3×	`+-rgt-identity_binary64_15067` `associate--l-_binary64_15020`
1×	`1-exp_binary64_15126` `distribute-neg-out_binary64_15044` `distribute-rgt1-in_binary64_15038` `distribute-lft1-in_binary64_15037` `distribute-lft-out_binary64_15033`
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` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow3_binary64_15148` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `pow-plus_binary64_15145` `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-prod_binary64_15134` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `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-unmult_binary64_15119` `cube-mult_binary64_15112` `cube-div_binary64_15111` `cube-prod_binary64_15110` `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` `times-frac_binary64_15088` `mul-1-neg_binary64_15074` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `unswap-sqr_binary64_15050` `swap-sqr_binary64_15049` `cancel-sign-sub_binary64_15047` `distribute-lft-out--_binary64_15034` `count-2_binary64_15030`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.1b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite90.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_15104`
16×	`*-un-lft-identity_binary64_15082`
14×	`add-cube-cbrt_binary64_15117`
13×	`associate-l_binary64_15023`
12×	`cancel-sign-sub-inv_binary64_15048`
10×	`times-frac_binary64_15088`
8×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `associate-+l+_binary64_15015`
7×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
5×	`associate-r_binary64_15022`
4×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `sub-neg_binary64_15075`
2×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `flip3--_binary64_15086` `frac-times_binary64_15092` `flip--_binary64_15057` `unswap-sqr_binary64_15050` `associate-*r/_binary64_15024`
1×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-l/_binary64_15025` `div-inv_binary64_15079` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `-commutative_binary64_15013` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012`

Counts

2 → 65

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
10.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 1137 to 292 computations (74.3% saved)

series731.0ms (9.6%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

402.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
304.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 1118 to 646 computations (42.2% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

510×	`times-frac_binary64_15088`
383×	`distribute-rgt-in_binary64_15032`
359×	`distribute-lft-in_binary64_15031`
294×	`associate-*l/_binary64_15025`
253×	`*-commutative_binary64_15013`
245×	`associate-*r/_binary64_15024`
238×	`associate-/l*_binary64_15027`
197×	`div-sub_binary64_15087`
116×	`neg-sub0_binary64_15077`
109×	`neg-mul-1_binary64_15078`
98×	`associate-l_binary64_15023`
94×	`exp-prod_binary64_15134`
81×	`associate-r_binary64_15022`
56×	`+-commutative_binary64_15012`
55×	`log-prod_binary64_15168`
54×	`associate-/r*_binary64_15026`
53×	`distribute-lft-neg-out_binary64_15041`
51×	`exp-sum_binary64_15128`
50×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-neg-out_binary64_15042`
49×	`sub-neg_binary64_15075`
44×	`distribute-rgt-neg-in_binary64_15040`
40×	`associate-/r/_binary64_15028`
39×	`associate-+l+_binary64_15015`
35×	`cube-prod_binary64_15110`
34×	`associate-+r+_binary64_15014`
33×	`exp-diff_binary64_15130`
31×	`log-div_binary64_15169`
29×	`distribute-lft-neg-in_binary64_15039`
24×	`associate-+l-_binary64_15017`
23×	`sqr-pow_binary64_15054`
21×	`associate-+r-_binary64_15016`
20×	`cube-div_binary64_15111`
18×	`distribute-neg-frac_binary64_15046`
17×	`distribute-rgt-out_binary64_15035`
16×	`*-lft-identity_binary64_15071` `distribute-neg-in_binary64_15043` `associate-/l/_binary64_15029`
15×	`unsub-neg_binary64_15076`
14×	`*-rgt-identity_binary64_15072`
13×	`unswap-sqr_binary64_15050`
11×	`unpow3_binary64_15148` `swap-sqr_binary64_15049`
10×	`associate--r+_binary64_15018`
9×	`distribute-rgt-out--_binary64_15036` `distribute-lft-out_binary64_15033`
7×	`exp-neg_binary64_15129` `cube-mult_binary64_15112` `mul-1-neg_binary64_15074` `associate--l+_binary64_15019`
5×	`log-rec_binary64_15170` `cube-unmult_binary64_15119`
4×	`sqr-neg_binary64_15096` `difference-of-squares_binary64_15051`
3×	`cube-neg_binary64_15109` `associate--r-_binary64_15021`
2×	`+-rgt-identity_binary64_15067` `distribute-rgt1-in_binary64_15038` `distribute-lft-out--_binary64_15034`
1×	`unpow1/2_binary64_15146` `prod-exp_binary64_15131` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-3cbrt-lft_binary64_15107` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `/-rgt-identity_binary64_15073` `pow-sqr_binary64_15055` `associate--l-_binary64_15020`
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` `unpow2_binary64_15147` `pow-plus_binary64_15145` `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` `div-exp_binary64_15133` `rec-exp_binary64_15132` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `rem-3cbrt-rft_binary64_15108` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `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_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-lft1-in_binary64_15037` `count-2_binary64_15030`

Counts

107 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1436
1	423	1370
2	1156	1361
3	3550	1361
4	4969	1361
5	4983	1361

prune72.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Error

0.0b

Counts

89 → 6

Compiler

Compiled 1183 to 227 computations (80.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite57.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_15113`
8×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
4×	`pow1/3_binary64_15164` `pow1_binary64_15143` `add-log-exp_binary64_15121` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1196 to 256 computations (78.6% saved)

series459.0ms (6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 y)
109.0ms	(cbrt.f64 y)
106.0ms	(cbrt.f64 y)
102.0ms	(cbrt.f64 x)

Compiler

Compiled 924 to 528 computations (42.9% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64_15168`
434×	`distribute-rgt-in_binary64_15032`
426×	`distribute-lft-in_binary64_15031`
382×	`associate-l_binary64_15023`
368×	`distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039`
356×	`unswap-sqr_binary64_15050`
334×	`distribute-rgt-out_binary64_15035`
254×	`*-commutative_binary64_15013`
238×	`associate-r_binary64_15022`
236×	`associate-+l+_binary64_15015` `associate-+r+_binary64_15014`
158×	`cancel-sign-sub-inv_binary64_15048`
124×	`sqr-pow_binary64_15054`
114×	`log-pow_binary64_15171`
78×	`exp-prod_binary64_15134`
58×	`cube-prod_binary64_15110`
54×	`neg-sub0_binary64_15077`
52×	`neg-mul-1_binary64_15078`
50×	`distribute-rgt1-in_binary64_15038`
48×	`unsub-neg_binary64_15076`
36×	`pow-plus_binary64_15145` `pow-sqr_binary64_15055`
34×	`distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041`
30×	`sub-neg_binary64_15075`
28×	`distribute-lft-out_binary64_15033`
26×	`unpow3_binary64_15148` `distribute-lft1-in_binary64_15037`
22×	`*-rgt-identity_binary64_15072`
20×	`rem-sqrt-square_binary64_15095` `*-lft-identity_binary64_15071` `count-2_binary64_15030`
18×	`cube-unmult_binary64_15119`
16×	`cube-mult_binary64_15112` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064`
10×	`associate-/l*_binary64_15027`
8×	`unpow2_binary64_15147`
4×	`unpow1/3_binary64_15149` `associate-/l/_binary64_15029` `associate-*r/_binary64_15024`
2×	`unpow1_binary64_15140` `rem-3cbrt-lft_binary64_15107` `times-frac_binary64_15088` `mul-1-neg_binary64_15074` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `associate-/r/_binary64_15028` `associate-/r*_binary64_15026` `associate-+l-_binary64_15017` `+-commutative_binary64_15012`
1×	`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` `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` `log-div_binary64_15169` `pow-base-0_binary64_15166` `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` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `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-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `div-sub_binary64_15087` `/-rgt-identity_binary64_15073` `remove-double-neg_binary64_15070` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `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_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `swap-sqr_binary64_15049` `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-out--_binary64_15036` `distribute-lft-out--_binary64_15034` `associate-l/_binary64_15025` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate--l+_binary64_15019` `associate--r+_binary64_15018` `associate-+r-_binary64_15016`

Counts

56 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	340
1	61	324
2	151	324
3	385	324
4	1190	324
5	3448	324
6	4669	324
7	4967	324
8	4832	324

prune24.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	20	6	26

Error

0.0b

Counts

26 → 6

Compiler

Compiled 548 to 118 computations (78.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
6.6b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite109.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_15104`
37×	`*-un-lft-identity_binary64_15082`
31×	`times-frac_binary64_15088`
23×	`add-cube-cbrt_binary64_15117`
19×	`associate-r_binary64_15022`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
7×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/l*_binary64_15027`
3×	`associate-l_binary64_15023` `associate-/r*_binary64_15026`
2×	`div-exp_binary64_15133` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `unswap-sqr_binary64_15050` `div-inv_binary64_15079` `associate-/l/_binary64_15029`
1×	`pow-prod-down_binary64_15153` `associate-r/_binary64_15024` `-commutative_binary64_15013` `frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `flip3--_binary64_15086` `flip--_binary64_15057` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012`

Counts

3 → 87

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
11.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)

Compiler

Compiled 1505 to 390 computations (74.1% saved)

series850.0ms (11.2%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

382.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
266.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
170.0ms	(/.f64 (-.f64 z t) y)

Compiler

Compiled 1499 to 878 computations (41.4% saved)

simplify147.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

433×	`distribute-rgt-in_binary64_15032`
414×	`distribute-lft-in_binary64_15031`
409×	`associate-l_binary64_15023`
362×	`associate-*l/_binary64_15025`
341×	`associate-*r/_binary64_15024`
257×	`associate-/l*_binary64_15027`
237×	`div-sub_binary64_15087`
119×	`exp-prod_binary64_15134`
116×	`times-frac_binary64_15088`
101×	`associate-/l/_binary64_15029`
91×	`unsub-neg_binary64_15076`
86×	`sub-neg_binary64_15075`
84×	`associate-/r/_binary64_15028`
81×	`neg-sub0_binary64_15077`
77×	`*-commutative_binary64_15013`
75×	`associate-/r*_binary64_15026`
74×	`associate-r_binary64_15022`
72×	`log-prod_binary64_15168`
70×	`*-rgt-identity_binary64_15072`
69×	`*-lft-identity_binary64_15071`
63×	`exp-diff_binary64_15130`
62×	`log-div_binary64_15169`
56×	`exp-sum_binary64_15128`
54×	`cube-div_binary64_15111` `neg-mul-1_binary64_15078`
44×	`cancel-sign-sub-inv_binary64_15048`
39×	`sqr-pow_binary64_15054`
38×	`cube-prod_binary64_15110`
34×	`distribute-neg-frac_binary64_15046`
33×	`distribute-rgt-neg-in_binary64_15040`
32×	`+-commutative_binary64_15012`
31×	`distribute-lft-neg-out_binary64_15041`
29×	`unpow3_binary64_15148` `/-rgt-identity_binary64_15073`
23×	`distribute-rgt-neg-out_binary64_15042`
22×	`cube-mult_binary64_15112`
21×	`distribute-lft-neg-in_binary64_15039`
20×	`distribute-neg-in_binary64_15043`
15×	`mul-1-neg_binary64_15074`
11×	`distribute-rgt-out_binary64_15035`
10×	`remove-double-neg_binary64_15070`
9×	`log-rec_binary64_15170`
8×	`unswap-sqr_binary64_15050`
7×	`sqr-neg_binary64_15096` `distribute-rgt-out--_binary64_15036`
5×	`cube-unmult_binary64_15119` `cube-neg_binary64_15109` `distribute-lft-out_binary64_15033`
4×	`pow-sqr_binary64_15055` `swap-sqr_binary64_15049` `associate-+l+_binary64_15015`
3×	`exp-neg_binary64_15129` `remove-double-div_binary64_15058`
2×	`unpow1/2_binary64_15146` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `distribute-lft-out--_binary64_15034` `associate--l+_binary64_15019` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016` `associate-+r+_binary64_15014`
1×	`prod-exp_binary64_15131` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `difference-of-squares_binary64_15051` `associate--r-_binary64_15021` `associate--r+_binary64_15018`
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` `unpow2_binary64_15147` `pow-plus_binary64_15145` `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` `div-exp_binary64_15133` `rec-exp_binary64_15132` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `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` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-rgt1-in_binary64_15038` `distribute-lft1-in_binary64_15037` `count-2_binary64_15030` `associate--l-_binary64_15020`

Counts

144 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1856
1	411	1761
2	1229	1752
3	4026	1752
4	4691	1752
5	4997	1752
6	4968	1752

prune57.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	88	6	94

Error

Counts

94 → 6

Compiler

Compiled 1065 to 213 computations (80% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
3.4b	(*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x))
3.4b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x)))

rewrite130.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_15104`
30×	`add-exp-log_binary64_15120`
23×	`*-un-lft-identity_binary64_15082`
20×	`associate-l_binary64_15023`
18×	`pow1_binary64_15143` `add-cbrt-cube_binary64_15118`
17×	`add-cube-cbrt_binary64_15117` `times-frac_binary64_15088`
15×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
11×	`cbrt-prod_binary64_15113`
9×	`pow-prod-down_binary64_15153`
7×	`associate-r_binary64_15022`
4×	`add-log-exp_binary64_15121` `unswap-sqr_binary64_15050`
3×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
2×	`associate-l/_binary64_15025` `-commutative_binary64_15013` `pow1/3_binary64_15164`
1×	`associate-*r/_binary64_15024` `div-inv_binary64_15079`

Counts

4 → 92

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x)))
12.0ms	(*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2163 to 431 computations (80.1% saved)

series1.3s (16.8%)

Error

Counts

4 → 42

Calls

4 calls:

685.0ms	(*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x))
346.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (-.f64 z t) y) (cbrt.f64 x)))
111.0ms	(cbrt.f64 x)
103.0ms	(cbrt.f64 x)

Compiler

Compiled 1824 to 1152 computations (36.8% saved)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-*r/_binary64_15024`
406×	`associate-*l/_binary64_15025`
380×	`*-commutative_binary64_15013`
321×	`div-sub_binary64_15087`
314×	`associate-/l*_binary64_15027`
219×	`distribute-rgt-in_binary64_15032`
216×	`distribute-lft-in_binary64_15031`
197×	`associate-l_binary64_15023`
168×	`associate-r_binary64_15022`
119×	`exp-prod_binary64_15134`
116×	`log-prod_binary64_15168`
98×	`associate-/r*_binary64_15026`
86×	`cube-prod_binary64_15110`
69×	`log-div_binary64_15169`
68×	`times-frac_binary64_15088`
65×	`cube-div_binary64_15111` `associate-/r/_binary64_15028`
63×	`distribute-rgt-neg-in_binary64_15040`
58×	`unswap-sqr_binary64_15050`
53×	`cancel-sign-sub-inv_binary64_15048`
47×	`distribute-lft-neg-in_binary64_15039`
43×	`sub-neg_binary64_15075`
41×	`exp-sum_binary64_15128`
33×	`neg-sub0_binary64_15077`
28×	`sqr-pow_binary64_15054`
27×	`associate-+r+_binary64_15014`
26×	`associate-+l+_binary64_15015`
25×	`distribute-neg-frac_binary64_15046`
23×	`neg-mul-1_binary64_15078`
21×	`associate-+r-_binary64_15016`
20×	`associate-+l-_binary64_15017`
18×	`swap-sqr_binary64_15049` `associate-/l/_binary64_15029`
17×	`exp-diff_binary64_15130` `distribute-lft-neg-out_binary64_15041`
14×	`distribute-neg-in_binary64_15043` `+-commutative_binary64_15012`
13×	`distribute-rgt-out--_binary64_15036`
12×	`mul-1-neg_binary64_15074`
11×	`cube-unmult_binary64_15119`
10×	`unpow3_binary64_15148` `distribute-rgt-neg-out_binary64_15042`
9×	`cube-mult_binary64_15112` `-rgt-identity_binary64_15072` `-lft-identity_binary64_15071` `distribute-rgt-out_binary64_15035`
8×	`pow-plus_binary64_15145`
7×	`associate--r+_binary64_15018`
6×	`log-pow_binary64_15171` `distribute-lft-out--_binary64_15034`
5×	`sqr-neg_binary64_15096`
4×	`log-rec_binary64_15170` `cube-neg_binary64_15109` `rem-sqrt-square_binary64_15095` `pow-sqr_binary64_15055`
3×	`associate--r-_binary64_15021`
2×	`unpow1/3_binary64_15149` `count-2_binary64_15030`
1×	`unpow1/2_binary64_15146` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-3cbrt-lft_binary64_15107` `rem-cube-cbrt_binary64_15105` `/-rgt-identity_binary64_15073` `remove-double-neg_binary64_15070` `distribute-frac-neg_binary64_15045` `distribute-lft-out_binary64_15033` `associate--l-_binary64_15020` `associate--l+_binary64_15019`
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` `unpow2_binary64_15147` `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` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `rem-3cbrt-rft_binary64_15108` `rem-cbrt-cube_binary64_15106` `sqr-abs_binary64_15097` `rem-square-sqrt_binary64_15094` `unsub-neg_binary64_15076` `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_15062` `+-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` `difference-of-squares_binary64_15051` `cancel-sign-sub_binary64_15047` `distribute-neg-out_binary64_15044` `distribute-rgt1-in_binary64_15038` `distribute-lft1-in_binary64_15037`

Counts

134 → 100

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	160	2202
1	407	1540
2	1220	1540
3	4189	1540
4	5348	1540

prune75.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	100	6	106

Error

Counts

106 → 6

Compiler

Compiled 1678 to 310 computations (81.5% saved)

regimes590.0ms (7.8%)

Accuracy

Total 1.0b remaining (99.6%)

Threshold costs 1.0b (99.6%)

Compiler

Compiled 5168 to 3760 computations (27.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_15013` `+-commutative_binary64_15012`
2×	`sub-neg_binary64_15075`
1×	`neg-mul-1_binary64_15078` `neg-sub0_binary64_15077`
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` `1-exp_binary64_15126` `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-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	15	37
1	20	37
2	25	37
3	27	37
4	28	37
5	28	37

end0.0ms (0%)

sample1.5s (19.4%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
70.0ms	2120×	body	128	invalid

Compiler

Compiled 879 to 632 computations (28.1% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze1.0s (13.5%)

sample28.0ms (0.4%)

simplify56.0ms (0.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite90.0ms (1.2%)

series731.0ms (9.6%)

simplify105.0ms (1.4%)

prune72.0ms (0.9%)

localize15.0ms (0.2%)

rewrite57.0ms (0.7%)

series459.0ms (6%)

simplify100.0ms (1.3%)

prune24.0ms (0.3%)

localize7.0ms (0.1%)

rewrite109.0ms (1.4%)

series850.0ms (11.2%)

simplify147.0ms (1.9%)

prune57.0ms (0.7%)

localize13.0ms (0.2%)

rewrite130.0ms (1.7%)

series1.3s (16.8%)

simplify99.0ms (1.3%)

prune75.0ms (1%)

regimes590.0ms (7.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.5s (19.4%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13