Details

analyze1.1s (9.3%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	77×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify1.4s (11.4%)

Algorithm

1×	egg-herbie

Rules

954×	`exp-prod_binary64_16839`
887×	`swap-sqr_binary64_16754`
311×	`distribute-rgt-out_binary64_16740`
304×	`associate-/l*_binary64_16732`
281×	`associate-r_binary64_16727`
278×	`associate-l_binary64_16728`
269×	`sub-neg_binary64_16780`
237×	`distribute-rgt-out--_binary64_16741`
225×	`distribute-lft-out_binary64_16738`
207×	`distribute-lft-out--_binary64_16739`
165×	`cancel-sign-sub-inv_binary64_16753`
128×	`associate-/l/_binary64_16734`
67×	`unsub-neg_binary64_16781`
66×	`div-sub_binary64_16792`
62×	`associate-*l/_binary64_16730`
60×	`times-frac_binary64_16793`
57×	`distribute-rgt-in_binary64_16737`
53×	`associate-/r*_binary64_16731`
51×	`associate-*r/_binary64_16729`
45×	`neg-mul-1_binary64_16783`
42×	`neg-sub0_binary64_16782`
33×	`distribute-rgt-neg-in_binary64_16745`
31×	`distribute-lft-neg-in_binary64_16744`
28×	`distribute-lft-in_binary64_16736`
27×	`associate-/r/_binary64_16733`
26×	`distribute-neg-in_binary64_16748`
23×	`*-commutative_binary64_16718`
21×	`associate--r+_binary64_16723`
20×	`+-commutative_binary64_16717`
15×	`+-inverses_binary64_16766` `distribute-rgt1-in_binary64_16743` `associate-+l-_binary64_16722`
13×	`distribute-lft-neg-out_binary64_16746`
12×	`distribute-neg-frac_binary64_16751` `distribute-rgt-neg-out_binary64_16747` `associate-+l+_binary64_16720` `associate-+r+_binary64_16719`
11×	`associate-+r-_binary64_16721`
10×	`sub0-neg_binary64_16774`
8×	`unswap-sqr_binary64_16755` `distribute-frac-neg_binary64_16750`
7×	`remove-double-neg_binary64_16775` `+-rgt-identity_binary64_16772` `mul0-lft_binary64_16769`
6×	`cube-unmult_binary64_16824` `mul0-rgt_binary64_16770` `difference-of-squares_binary64_16756`
5×	`associate--l+_binary64_16724`
4×	`+-lft-identity_binary64_16771` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735`
3×	`--rgt-identity_binary64_16773` `div0_binary64_16768` `associate--r-_binary64_16726`
2×	`associate--l-_binary64_16725`
1×	`exp-lft-sqr_binary64_16842` `exp-diff_binary64_16835` `exp-sum_binary64_16833` `1-exp_binary64_16831` `sqr-neg_binary64_16801` `mul-1-neg_binary64_16779`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `log-prod_binary64_16873` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow3_binary64_16853` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-mult_binary64_16817` `cube-div_binary64_16816` `cube-prod_binary64_16815` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `/-rgt-identity_binary64_16778` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `*-inverses_binary64_16767` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `pow-sqr_binary64_16760` `sqr-pow_binary64_16759` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-out_binary64_16749`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	16	13
2	31	13
3	60	13
4	119	13
5	187	13
6	404	13
7	2760	13

prune15.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.0b

Counts

6 → 4

Compiler

Compiled 81 to 56 computations (30.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
6.3b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_16809`
16×	`*-un-lft-identity_binary64_16787`
14×	`add-cube-cbrt_binary64_16822`
13×	`associate-l_binary64_16728`
12×	`cancel-sign-sub-inv_binary64_16753`
10×	`times-frac_binary64_16793`
8×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `associate-+r+_binary64_16719`
7×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`associate-r_binary64_16727`
4×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `sub-neg_binary64_16780`
2×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `flip3--_binary64_16791` `frac-times_binary64_16797` `flip--_binary64_16762` `unswap-sqr_binary64_16755` `associate-*r/_binary64_16729`
1×	`pow-prod-down_binary64_16858` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-l/_binary64_16730` `div-inv_binary64_16784` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `-commutative_binary64_16718` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `+-commutative_binary64_16717`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Compiler

Compiled 1137 to 288 computations (74.7% saved)

series865.0ms (7.3%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

514.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
324.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

Compiler

Compiled 1261 to 792 computations (37.2% saved)

simplify277.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

494×	`times-frac_binary64_16793`
482×	`distribute-rgt-in_binary64_16737`
469×	`distribute-lft-in_binary64_16736`
402×	`associate-*l/_binary64_16730`
337×	`associate-*r/_binary64_16729`
257×	`associate-/l*_binary64_16732`
231×	`*-commutative_binary64_16718`
161×	`exp-prod_binary64_16839`
99×	`associate-l_binary64_16728`
92×	`associate-r_binary64_16727`
82×	`exp-sum_binary64_16833` `distribute-lft-neg-out_binary64_16746`
79×	`distribute-rgt-neg-in_binary64_16745`
75×	`cancel-sign-sub-inv_binary64_16753`
69×	`distribute-rgt-neg-out_binary64_16747`
57×	`associate-/r*_binary64_16731`
55×	`sub-neg_binary64_16780`
51×	`associate-+l+_binary64_16720`
50×	`distribute-lft-neg-in_binary64_16744`
45×	`associate-+r+_binary64_16719`
43×	`neg-sub0_binary64_16782`
42×	`associate-/r/_binary64_16733`
41×	`+-commutative_binary64_16717`
40×	`cube-prod_binary64_16815`
38×	`distribute-neg-frac_binary64_16751`
36×	`neg-mul-1_binary64_16783`
34×	`exp-diff_binary64_16835`
31×	`log-prod_binary64_16873` `sqr-pow_binary64_16759`
26×	`distribute-neg-in_binary64_16748`
24×	`associate-+l-_binary64_16722`
23×	`cube-div_binary64_16816` `associate-+r-_binary64_16721`
22×	`log-div_binary64_16874` `div-sub_binary64_16792`
18×	`associate--r+_binary64_16723`
17×	`distribute-rgt-out_binary64_16740`
15×	`*-rgt-identity_binary64_16777` `associate-/l/_binary64_16734`
14×	`*-lft-identity_binary64_16776`
13×	`unpow3_binary64_16853` `swap-sqr_binary64_16754`
12×	`sqr-neg_binary64_16801`
11×	`exp-neg_binary64_16834` `pow-sqr_binary64_16760` `unswap-sqr_binary64_16755` `associate--l+_binary64_16724`
10×	`distribute-rgt-out--_binary64_16741`
9×	`cube-mult_binary64_16817` `unsub-neg_binary64_16781`
7×	`cube-neg_binary64_16814` `mul-1-neg_binary64_16779`
5×	`log-rec_binary64_16875` `cube-unmult_binary64_16824`
4×	`prod-exp_binary64_16836` `difference-of-squares_binary64_16756` `distribute-lft-out_binary64_16738`
3×	`remove-double-neg_binary64_16775` `cancel-sign-sub_binary64_16752` `associate--r-_binary64_16726`
2×	`pow-base-1_binary64_16847` `distribute-frac-neg_binary64_16750` `distribute-lft-out--_binary64_16739` `associate--l-_binary64_16725`
1×	`log-pow_binary64_16876` `pow-plus_binary64_16850` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-log-exp_binary64_16828` `rem-3cbrt-lft_binary64_16812` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `/-rgt-identity_binary64_16778` `+-rgt-identity_binary64_16772`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735`

Counts

113 → 229

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	1533
1	426	1413
2	1285	1413
3	4586	1413

prune177.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	226	7	233

Error

Counts

233 → 7

Compiler

Compiled 3582 to 495 computations (86.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
11.2b	(cbrt.f64 (/.f64 y a))
11.2b	(cbrt.f64 (/.f64 y a))
11.2b	(cbrt.f64 (/.f64 y a))

rewrite170.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-div_binary64_16819` `cbrt-prod_binary64_16818`
29×	`frac-times_binary64_16797`
27×	`times-frac_binary64_16793`
25×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
17×	`associate-*l/_binary64_16730`
16×	`pow1_binary64_16848` `add-exp-log_binary64_16825`
15×	`associate-*r/_binary64_16729`
10×	`add-cbrt-cube_binary64_16823`
8×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `flip3--_binary64_16791` `flip--_binary64_16762`
4×	`add-log-exp_binary64_16826`
3×	`pow1/3_binary64_16869` `div-inv_binary64_16784`
1×	`associate-l_binary64_16728` `associate-r_binary64_16727` `*-commutative_binary64_16718`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
2.0ms	(cbrt.f64 (/.f64 y a))
2.0ms	(cbrt.f64 (/.f64 y a))
2.0ms	(cbrt.f64 (/.f64 y a))

Compiler

Compiled 3130 to 579 computations (81.5% saved)

series1.3s (11.2%)

Error

Counts

4 → 36

Calls

4 calls:

388.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
311.0ms	(cbrt.f64 (/.f64 y a))
302.0ms	(cbrt.f64 (/.f64 y a))
293.0ms	(cbrt.f64 (/.f64 y a))

Compiler

Compiled 2037 to 1369 computations (32.8% saved)

simplify320.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

487×	`distribute-rgt-in_binary64_16737`
484×	`distribute-lft-in_binary64_16736`
424×	`associate-/l*_binary64_16732`
396×	`times-frac_binary64_16793`
203×	`associate-l_binary64_16728`
183×	`associate-r_binary64_16727`
85×	`*-commutative_binary64_16718`
79×	`cancel-sign-sub-inv_binary64_16753`
59×	`associate-/r/_binary64_16733`
56×	`distribute-rgt-neg-in_binary64_16745`
53×	`distribute-lft-neg-in_binary64_16744`
40×	`associate-/l/_binary64_16734` `associate-*l/_binary64_16730`
39×	`associate-/r*_binary64_16731`
35×	`sub-neg_binary64_16780`
33×	`exp-prod_binary64_16839` `sqr-pow_binary64_16759`
30×	`distribute-lft-neg-out_binary64_16746`
28×	`log-prod_binary64_16873`
27×	`div-sub_binary64_16792`
26×	`distribute-rgt-neg-out_binary64_16747`
23×	`unswap-sqr_binary64_16755` `associate-*r/_binary64_16729`
22×	`log-div_binary64_16874` `exp-sum_binary64_16833`
21×	`neg-sub0_binary64_16782`
19×	`neg-mul-1_binary64_16783`
17×	`+-commutative_binary64_16717`
16×	`distribute-frac-neg_binary64_16750`
13×	`swap-sqr_binary64_16754`
11×	`exp-diff_binary64_16835` `mul-1-neg_binary64_16779` `pow-sqr_binary64_16760` `distribute-neg-frac_binary64_16751`
9×	`cube-unmult_binary64_16824` `unsub-neg_binary64_16781`
8×	`cube-prod_binary64_16815`
7×	`distribute-neg-in_binary64_16748` `distribute-rgt-out_binary64_16740`
6×	`*-rgt-identity_binary64_16777` `distribute-neg-out_binary64_16749` `associate-+l+_binary64_16720` `associate-+r+_binary64_16719`
5×	`log-rec_binary64_16875` `cube-div_binary64_16816` `distribute-rgt-out--_binary64_16741`
4×	`log-pow_binary64_16876` `/-rgt-identity_binary64_16778` `remove-double-neg_binary64_16775`
3×	`unpow1/3_binary64_16854` `unpow3_binary64_16853` `exp-to-pow_binary64_16849` `cube-mult_binary64_16817` `rem-3cbrt-lft_binary64_16812` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `associate-+l-_binary64_16722`
2×	`exp-neg_binary64_16834` `distribute-lft-out_binary64_16738` `count-2_binary64_16735` `associate--r-_binary64_16726` `associate--l-_binary64_16725` `associate-+r-_binary64_16721`
1×	`pow-plus_binary64_16850` `div-exp_binary64_16838` `rec-exp_binary64_16837` `1-exp_binary64_16831` `rem-log-exp_binary64_16828` `rem-3cbrt-rft_binary64_16813` `rem-cube-cbrt_binary64_16810` `*-lft-identity_binary64_16776` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `pow-base-0_binary64_16871` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `prod-exp_binary64_16836` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-cbrt-cube_binary64_16811` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `associate--l+_binary64_16724` `associate--r+_binary64_16723`

Counts

147 → 246

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2973
1	476	2445
2	1459	2385

prune248.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	246	7	253

Error

Counts

253 → 7

Compiler

Compiled 5915 to 1090 computations (81.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
6.3b	(/.f64 (-.f64 z t) (/.f64 a y))

rewrite156.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_16793`
88×	`*-un-lft-identity_binary64_16787`
86×	`add-sqr-sqrt_binary64_16809`
58×	`add-cube-cbrt_binary64_16822`
14×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
13×	`associate-/r*_binary64_16731`
7×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `div-inv_binary64_16784`
5×	`associate-/l*_binary64_16732`
4×	`add-log-exp_binary64_16826`
3×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821`
2×	`pow1_binary64_16848` `div-sub_binary64_16792` `associate-/l/_binary64_16734`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip--_binary64_16762` `associate-/r/_binary64_16733` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `associate-+r-_binary64_16721` `+-commutative_binary64_16717`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
9.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

Compiler

Compiled 2282 to 561 computations (75.4% saved)

series834.0ms (7%)

Error

Counts

2 → 48

Calls

2 calls:

506.0ms	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
301.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

Compiler

Compiled 1261 to 792 computations (37.2% saved)

simplify341.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

574×	`associate-/r/_binary64_16733`
438×	`associate-r_binary64_16727`
364×	`distribute-lft-in_binary64_16736`
362×	`distribute-rgt-in_binary64_16737`
319×	`associate-/r*_binary64_16731`
166×	`div-sub_binary64_16792`
136×	`associate-/l/_binary64_16734` `associate-/l*_binary64_16732`
119×	`*-commutative_binary64_16718`
115×	`associate-*l/_binary64_16730`
98×	`cancel-sign-sub-inv_binary64_16753`
84×	`sub-neg_binary64_16780`
81×	`distribute-rgt-neg-in_binary64_16745`
75×	`distribute-neg-frac_binary64_16751`
73×	`associate-*r/_binary64_16729`
71×	`distribute-lft-neg-in_binary64_16744`
62×	`neg-sub0_binary64_16782`
58×	`neg-mul-1_binary64_16783`
47×	`times-frac_binary64_16793`
45×	`associate-+l+_binary64_16720`
39×	`associate-l_binary64_16728`
36×	`/-rgt-identity_binary64_16778`
34×	`distribute-lft-neg-out_binary64_16746`
30×	`*-rgt-identity_binary64_16777`
28×	`distribute-rgt-out_binary64_16740`
26×	`distribute-neg-in_binary64_16748` `+-commutative_binary64_16717`
21×	`associate-+l-_binary64_16722`
20×	`sqr-pow_binary64_16759` `distribute-rgt-neg-out_binary64_16747`
18×	`distribute-rgt-out--_binary64_16741` `associate-+r-_binary64_16721`
17×	`prod-exp_binary64_16836` `associate--r+_binary64_16723`
16×	`log-div_binary64_16874` `div-exp_binary64_16838`
15×	`cube-div_binary64_16816`
13×	`unswap-sqr_binary64_16755`
11×	`exp-prod_binary64_16839` `associate--l+_binary64_16724`
9×	`log-prod_binary64_16873` `exp-sum_binary64_16833`
8×	`cube-prod_binary64_16815`
7×	`mul-1-neg_binary64_16779` `pow-sqr_binary64_16760` `associate--r-_binary64_16726`
6×	`unpow3_binary64_16853` `*-lft-identity_binary64_16776`
5×	`exp-diff_binary64_16835` `swap-sqr_binary64_16754`
4×	`rec-exp_binary64_16837` `cube-unmult_binary64_16824` `cube-mult_binary64_16817` `distribute-lft-out_binary64_16738` `associate--l-_binary64_16725`
3×	`remove-double-neg_binary64_16775` `remove-double-div_binary64_16763`
2×	`unsub-neg_binary64_16781` `distribute-lft-out--_binary64_16739` `associate-+r+_binary64_16719`
1×	`log-pow_binary64_16876` `log-rec_binary64_16875` `pow-plus_binary64_16850` `1-exp_binary64_16831` `rem-log-exp_binary64_16828` `difference-of-squares_binary64_16756` `count-2_binary64_16735`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742`

Counts

162 → 414

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	3138
1	633	2985
2	2026	2980

prune333.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	414	0	414
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	414	7	421

Error

Counts

421 → 7

Compiler

Compiled 8106 to 1264 computations (84.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
6.2b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
9×	`add-cube-cbrt_binary64_16822`
6×	`cancel-sign-sub-inv_binary64_16753`
5×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `associate-r_binary64_16727`
4×	`associate-*r/_binary64_16729` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
3×	`times-frac_binary64_16793` `associate-/r_binary64_16731` `associate-l*_binary64_16728`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip--_binary64_16762` `sub-neg_binary64_16780`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `+-commutative_binary64_16717` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `-commutative_binary64_16718`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 1047 to 301 computations (71.3% saved)

series979.0ms (8.3%)

Error

Counts

3 → 63

Calls

3 calls:

490.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
305.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
146.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1636 to 1032 computations (36.9% saved)

simplify270.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

644×	`times-frac_binary64_16793`
507×	`distribute-rgt-in_binary64_16737`
494×	`distribute-lft-in_binary64_16736`
207×	`associate-/l/_binary64_16734`
165×	`associate-/r*_binary64_16731`
145×	`associate-/r/_binary64_16733`
89×	`associate-l_binary64_16728`
79×	`associate-r_binary64_16727`
72×	`associate-/l*_binary64_16732`
67×	`distribute-rgt-neg-in_binary64_16745`
66×	`*-commutative_binary64_16718`
63×	`sub-neg_binary64_16780` `distribute-lft-neg-out_binary64_16746`
58×	`div-sub_binary64_16792`
56×	`associate-*l/_binary64_16730`
54×	`distribute-neg-frac_binary64_16751`
53×	`distribute-rgt-neg-out_binary64_16747`
51×	`exp-prod_binary64_16839` `cancel-sign-sub-inv_binary64_16753`
46×	`distribute-lft-neg-in_binary64_16744`
44×	`associate-*r/_binary64_16729`
40×	`neg-sub0_binary64_16782`
32×	`neg-mul-1_binary64_16783` `sqr-pow_binary64_16759`
28×	`+-commutative_binary64_16717`
27×	`distribute-neg-in_binary64_16748`
26×	`log-div_binary64_16874` `*-rgt-identity_binary64_16777`
25×	`cube-div_binary64_16816`
20×	`cube-prod_binary64_16815` `*-lft-identity_binary64_16776`
19×	`associate--l+_binary64_16724`
17×	`log-prod_binary64_16873`
12×	`exp-sum_binary64_16833` `swap-sqr_binary64_16754`
11×	`/-rgt-identity_binary64_16778` `pow-sqr_binary64_16760`
10×	`unpow3_binary64_16853` `associate--l-_binary64_16725`
8×	`exp-diff_binary64_16835` `cube-mult_binary64_16817` `mul-1-neg_binary64_16779`
6×	`remove-double-neg_binary64_16775`
5×	`unsub-neg_binary64_16781` `distribute-rgt-out_binary64_16740` `associate--r-_binary64_16726` `associate-+l+_binary64_16720`
4×	`log-rec_binary64_16875` `cube-unmult_binary64_16824` `difference-of-squares_binary64_16756` `cancel-sign-sub_binary64_16752` `distribute-rgt-out--_binary64_16741`
3×	`distribute-frac-neg_binary64_16750`
2×	`prod-exp_binary64_16836` `exp-neg_binary64_16834` `unswap-sqr_binary64_16755` `associate--r+_binary64_16723` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721` `associate-+r+_binary64_16719`
1×	`pow-base-1_binary64_16847` `div-exp_binary64_16838` `rec-exp_binary64_16837` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-log-exp_binary64_16828` `rem-3cbrt-lft_binary64_16812` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `+-rgt-identity_binary64_16772`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-lft-out--_binary64_16739` `distribute-lft-out_binary64_16738` `count-2_binary64_16735`

Counts

128 → 229

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	1525
1	389	1370
2	1336	1370

prune159.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	229	7	236

Error

Counts

236 → 7

Compiler

Compiled 3391 to 436 computations (87.1% saved)

regimes1.1s (9.6%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5947 to 5516 computations (7.2% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_16717`
3×	`*-commutative_binary64_16718`
2×	`sub-neg_binary64_16780`
1×	`1-exp_binary64_16831` `neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
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_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `unpow1_binary64_16845` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `unsub-neg_binary64_16781` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `cancel-sign-sub-inv_binary64_16753` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-neg-in_binary64_16748` `distribute-rgt-neg-out_binary64_16747` `distribute-lft-neg-out_binary64_16746` `distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	34	72
2	38	72
3	40	72
4	41	72

Proof

(if real (<= f64 (/ f64 (* f64 h0 (- f64 h1 h2)) h3) -3251553770096906037965185139725025589887280089877059260417697031928196193253817472518000308478388587190785815736787957480019298052628571902632091218443256532859023037723493069730608841151191713465645110676643339152426647946583595353163394476647517037540796067284516864) (+ f64 h4 (/ f64 1 (/ f64 (/ f64 h3 h0) (- f64 h1 h2)))) (if real (<= f64 (/ f64 (* f64 h0 (- f64 h1 h2)) h3) 58611512384324075615623540322346410558642118617325844221510798651378641077665454170547713588086413031504671671630469325930107469196067208049234875545364227020155656629612141989726522911390637452716813673952790829182082069129760231931410625359954134511403401216) (=> (+ f64 h4 (/ f64 (* f64 h0 (- f64 h1 h2)) h3))) (+ f64 h4 (* f64 h0 (/ f64 (- f64 h1 h2) h3)))))
+-commutative_binary64_16717 =>
(if real (<= f64 (/ f64 (* f64 h0 (- f64 h1 h2)) h3) -3251553770096906037965185139725025589887280089877059260417697031928196193253817472518000308478388587190785815736787957480019298052628571902632091218443256532859023037723493069730608841151191713465645110676643339152426647946583595353163394476647517037540796067284516864) (+ f64 h4 (/ f64 1 (/ f64 (/ f64 h3 h0) (- f64 h1 h2)))) (if real (<= f64 (/ f64 (* f64 h0 (- f64 h1 h2)) h3) 58611512384324075615623540322346410558642118617325844221510798651378641077665454170547713588086413031504671671630469325930107469196067208049234875545364227020155656629612141989726522911390637452716813673952790829182082069129760231931410625359954134511403401216) (+ f64 (/ f64 (* f64 h0 (- f64 h1 h2)) h3) h4) (+ f64 h4 (* f64 h0 (/ f64 (- f64 h1 h2) h3)))))

end0.0ms (0%)

sample1.6s (13.1%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	128	valid
92.0ms	2507×	body	128	invalid

Compiler

Compiled 745 to 652 computations (12.5% saved)

Details

analyze1.1s (9.3%)

sample27.0ms (0.2%)

simplify1.4s (11.4%)

prune15.0ms (0.1%)

localize7.0ms (0.1%)

rewrite78.0ms (0.7%)

series865.0ms (7.3%)

simplify277.0ms (2.3%)

prune177.0ms (1.5%)

localize11.0ms (0.1%)

rewrite170.0ms (1.4%)

series1.3s (11.2%)

simplify320.0ms (2.7%)

prune248.0ms (2.1%)

localize7.0ms (0.1%)

rewrite156.0ms (1.3%)

series834.0ms (7%)

simplify341.0ms (2.9%)

prune333.0ms (2.8%)

localize7.0ms (0.1%)

rewrite77.0ms (0.7%)

series979.0ms (8.3%)

simplify270.0ms (2.3%)

prune159.0ms (1.3%)

regimes1.1s (9.6%)

bsearch2.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (13.1%)

Profiling