Details

analyze348.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	58×	body	128	nan
1.0ms	23×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify427.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

993×	`unsub-neg_binary64_16781`
710×	`exp-prod_binary64_16839`
437×	`cube-prod_binary64_16815`
376×	`cancel-sign-sub-inv_binary64_16753`
298×	`exp-sum_binary64_16833`
196×	`sub-neg_binary64_16780`
188×	`swap-sqr_binary64_16754`
178×	`exp-diff_binary64_16835`
173×	`neg-mul-1_binary64_16783`
159×	`neg-sub0_binary64_16782`
136×	`distribute-rgt1-in_binary64_16743`
122×	`associate-+l+_binary64_16720`
117×	`distribute-rgt-in_binary64_16737`
110×	`distribute-lft-neg-in_binary64_16744`
94×	`associate--l-_binary64_16725` `associate-+l-_binary64_16722`
93×	`distribute-rgt-neg-in_binary64_16745`
88×	`distribute-neg-in_binary64_16748`
87×	`*-commutative_binary64_16718`
86×	`associate-+r+_binary64_16719`
83×	`associate--r-_binary64_16726`
78×	`distribute-neg-out_binary64_16749`
63×	`pow-plus_binary64_16850`
62×	`sqr-neg_binary64_16801`
59×	`distribute-lft-in_binary64_16736`
58×	`+-commutative_binary64_16717`
49×	`distribute-rgt-neg-out_binary64_16747`
46×	`distribute-lft-neg-out_binary64_16746`
44×	`associate--r+_binary64_16723`
38×	`associate-+r-_binary64_16721`
32×	`exp-neg_binary64_16834`
31×	`sub0-neg_binary64_16774`
28×	`associate-r_binary64_16727`
25×	`distribute-rgt-out_binary64_16740`
20×	`+-rgt-identity_binary64_16772`
19×	`associate--l+_binary64_16724`
16×	`associate-l_binary64_16728`
14×	`remove-double-neg_binary64_16775`
13×	`exp-lft-sqr_binary64_16842`
10×	`+-lft-identity_binary64_16771`
8×	`count-2_binary64_16735`
6×	`cube-neg_binary64_16814`
5×	`mul0-rgt_binary64_16770` `mul0-lft_binary64_16769`
4×	`+-inverses_binary64_16766` `distribute-lft1-in_binary64_16742`
3×	`cube-unmult_binary64_16824` `times-frac_binary64_16793`
2×	`div-sub_binary64_16792` `*-rgt-identity_binary64_16777` `--rgt-identity_binary64_16773` `difference-of-squares_binary64_16756` `distribute-rgt-out--_binary64_16741` `distribute-lft-out_binary64_16738`
1×	`1-exp_binary64_16831` `exp-1-e_binary64_16830` `mul-1-neg_binary64_16779` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-lft-out--_binary64_16739`
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` `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` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-mult_binary64_16817` `cube-div_binary64_16816` `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` `-lft-identity_binary64_16776` `div0_binary64_16768` `-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` `unswap-sqr_binary64_16755` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/l_binary64_16732` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-r/_binary64_16729`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	18	15
2	28	15
3	53	15
4	111	15
5	231	15
6	445	15
7	1123	15
8	2145	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.5b

Counts

1 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.2b	(-.f64 (.f64 y y) (.f64 z z))
28.6b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.9b

Rules

4×	`add-log-exp_binary64_16826` `add-sqr-sqrt_binary64_16809` `sqrt-prod_binary64_16803`
3×	`pow1_binary64_16848` `add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
2×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `flip3--_binary64_16791` `sqrt-div_binary64_16804` `flip--_binary64_16762` `difference-of-squares_binary64_16756`
1×	`pow1/2_binary64_16867` `sqrt-pow1_binary64_16805` `rem-sqrt-square_binary64_16800` `diff-log_binary64_16879` `sub-neg_binary64_16780` `cancel-sign-sub-inv_binary64_16753`

Counts

2 → 29

Calls

2 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 538 to 131 computations (75.7% saved)

series247.0ms (5.7%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

132.0ms	(-.f64 (.f64 y y) (.f64 z z))
93.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 645 to 559 computations (13.3% saved)

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

524×	`times-frac_binary64_16793`
317×	`associate-/l*_binary64_16732`
308×	`cancel-sign-sub-inv_binary64_16753`
284×	`associate-/r*_binary64_16731`
253×	`unswap-sqr_binary64_16755`
183×	`associate-*l/_binary64_16730`
173×	`associate-l_binary64_16728`
165×	`associate-r_binary64_16727`
118×	`distribute-rgt-neg-in_binary64_16745`
108×	`distribute-lft-neg-in_binary64_16744`
106×	`sqr-pow_binary64_16759`
104×	`associate-/r/_binary64_16733`
98×	`distribute-neg-frac_binary64_16751`
93×	`distribute-rgt-in_binary64_16737`
85×	`distribute-lft-in_binary64_16736`
83×	`sub-neg_binary64_16780` `distribute-lft-neg-out_binary64_16746`
82×	`associate-/l/_binary64_16734`
66×	`distribute-rgt-neg-out_binary64_16747`
63×	`pow-sqr_binary64_16760`
61×	`*-commutative_binary64_16718`
56×	`neg-sub0_binary64_16782`
54×	`difference-of-squares_binary64_16756`
52×	`unsub-neg_binary64_16781`
48×	`neg-mul-1_binary64_16783`
36×	`pow-plus_binary64_16850` `exp-prod_binary64_16839`
35×	`exp-sum_binary64_16833`
33×	`distribute-rgt-out_binary64_16740`
27×	`+-commutative_binary64_16717`
23×	`associate-*r/_binary64_16729`
20×	`distribute-lft-out_binary64_16738`
17×	`swap-sqr_binary64_16754`
16×	`distribute-neg-in_binary64_16748` `associate--r+_binary64_16723`
15×	`cube-prod_binary64_16815`
13×	`cube-unmult_binary64_16824` `associate-+l+_binary64_16720`
12×	`associate-+l-_binary64_16722`
10×	`unpow3_binary64_16853` `sub0-neg_binary64_16774` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769`
9×	`div-sub_binary64_16792` `associate-+r-_binary64_16721`
8×	`exp-diff_binary64_16835` `mul-1-neg_binary64_16779` `+-rgt-identity_binary64_16772`
7×	`log-prod_binary64_16873` `associate--l+_binary64_16724` `associate-+r+_binary64_16719`
5×	`cube-mult_binary64_16817`
3×	`cancel-sign-sub_binary64_16752` `count-2_binary64_16735`
2×	`unpow2_binary64_16852` `unpow1_binary64_16845` `exp-neg_binary64_16834` `rem-sqrt-square_binary64_16800` `associate--l-_binary64_16725`
1×	`div-exp_binary64_16838` `1-exp_binary64_16831` `sqr-neg_binary64_16801` `rem-square-sqrt_binary64_16799` `-rgt-identity_binary64_16777` `-inverses_binary64_16767` `rgt-mult-inverse_binary64_16764` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743`
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` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `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-div_binary64_16816` `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` `/-rgt-identity_binary64_16778` `*-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `--rgt-identity_binary64_16773` `+-lft-identity_binary64_16771` `div0_binary64_16768` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `distribute-frac-neg_binary64_16750` `distribute-lft1-in_binary64_16742` `distribute-rgt-out--_binary64_16741` `distribute-lft-out--_binary64_16739` `associate--r-_binary64_16726`

Counts

53 → 83

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	796
1	188	760
2	600	760
3	1804	760

prune96.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 1727 to 817 computations (52.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (-.f64 y (.f64 1/2 (/.f64 z (/.f64 y z)))))
0.0b	(*.f64 1/2 (/.f64 z (/.f64 y z)))
0.1b	(/.f64 z (/.f64 y z))

rewrite198.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

144×	`times-frac_binary64_16793`
94×	`add-sqr-sqrt_binary64_16809`
83×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
47×	`associate-r_binary64_16727`
19×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
13×	`associate-/r*_binary64_16731`
9×	`div-inv_binary64_16784`
7×	`pow1_binary64_16848`
6×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-l_binary64_16728`
4×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755`
3×	`add-log-exp_binary64_16826` `associate-/l_binary64_16732` `associate-r/_binary64_16729`
2×	`associate-/r/_binary64_16733` `pow-prod-down_binary64_16858` `*-commutative_binary64_16718` `sub-neg_binary64_16780` `distribute-rgt-in_binary64_16737` `cancel-sign-sub-inv_binary64_16753` `distribute-lft-in_binary64_16736`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip--_binary64_16762`

Counts

3 → 160

Calls

3 calls:

19.0ms	(*.f64 1/2 (/.f64 z (/.f64 y z)))
6.0ms	(/.f64 z (/.f64 y z))
6.0ms	(.f64 x (-.f64 y (.f64 1/2 (/.f64 z (/.f64 y z)))))

Compiler

Compiled 3324 to 1247 computations (62.5% saved)

series593.0ms (13.7%)

Error

Counts

3 → 27

Calls

3 calls:

366.0ms	(.f64 x (-.f64 y (.f64 1/2 (/.f64 z (/.f64 y z)))))
112.0ms	(*.f64 1/2 (/.f64 z (/.f64 y z)))
94.0ms	(/.f64 z (/.f64 y z))

Compiler

Compiled 801 to 640 computations (20.1% saved)

simplify1.1s (25.9%)

Algorithm

1×	egg-herbie

Rules

224×	`associate-/l*_binary64_16732`
203×	`associate-l_binary64_16728`
199×	`unswap-sqr_binary64_16755`
192×	`associate-/r/_binary64_16733`
187×	`associate-/l/_binary64_16734`
185×	`associate-r_binary64_16727`
175×	`associate-*r/_binary64_16729`
156×	`distribute-neg-frac_binary64_16751`
151×	`cancel-sign-sub-inv_binary64_16753`
147×	`associate-*l/_binary64_16730`
144×	`*-commutative_binary64_16718`
134×	`neg-mul-1_binary64_16783`
130×	`neg-sub0_binary64_16782`
128×	`distribute-rgt-neg-in_binary64_16745`
125×	`distribute-rgt-in_binary64_16737`
118×	`distribute-lft-in_binary64_16736`
114×	`distribute-lft-neg-out_binary64_16746`
110×	`distribute-lft-neg-in_binary64_16744`
104×	`sqr-pow_binary64_16759`
91×	`distribute-rgt-neg-out_binary64_16747`
90×	`times-frac_binary64_16793`
86×	`exp-prod_binary64_16839` `unsub-neg_binary64_16781`
84×	`sub-neg_binary64_16780`
80×	`div-sub_binary64_16792`
70×	`log-prod_binary64_16873`
69×	`*-rgt-identity_binary64_16777`
67×	`*-lft-identity_binary64_16776`
65×	`log-div_binary64_16874` `cube-prod_binary64_16815`
64×	`cube-div_binary64_16816`
62×	`associate-/r*_binary64_16731`
58×	`swap-sqr_binary64_16754`
44×	`pow-sqr_binary64_16760`
33×	`distribute-neg-out_binary64_16749`
23×	`unpow3_binary64_16853`
20×	`cube-mult_binary64_16817` `difference-of-squares_binary64_16756`
19×	`+-commutative_binary64_16717`
18×	`exp-sum_binary64_16833`
16×	`div-exp_binary64_16838` `prod-exp_binary64_16836` `/-rgt-identity_binary64_16778` `mul0-lft_binary64_16769`
15×	`mul0-rgt_binary64_16770` `associate-+l-_binary64_16722`
14×	`log-rec_binary64_16875`
11×	`associate-+l+_binary64_16720`
10×	`exp-diff_binary64_16835`
9×	`pow-plus_binary64_16850` `sub0-neg_binary64_16774` `associate-+r-_binary64_16721`
8×	`log-pow_binary64_16876` `cube-unmult_binary64_16824`
6×	`distribute-neg-in_binary64_16748` `associate--l+_binary64_16724` `associate--r+_binary64_16723`
5×	`remove-double-div_binary64_16763` `associate-+r+_binary64_16719`
4×	`rec-exp_binary64_16837` `+-rgt-identity_binary64_16772` `associate--r-_binary64_16726` `associate--l-_binary64_16725`
3×	`rem-sqrt-square_binary64_16800` `div0_binary64_16768`
2×	`unpow1/2_binary64_16851` `remove-double-neg_binary64_16775` `distribute-frac-neg_binary64_16750`
1×	`unpow2_binary64_16852` `pow-base-1_binary64_16847` `unpow1_binary64_16845` `exp-sqrt_binary64_16840` `exp-neg_binary64_16834` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-log-exp_binary64_16828` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `sqr-neg_binary64_16801` `rem-square-sqrt_binary64_16799` `+-lft-identity_binary64_16771` `*-inverses_binary64_16767` `rgt-mult-inverse_binary64_16764` `distribute-rgt-out--_binary64_16741` `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` `exp-to-pow_binary64_16849` `unpow0_binary64_16846` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `mul-1-neg_binary64_16779` `--rgt-identity_binary64_16773` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-rgt-out_binary64_16740` `distribute-lft-out--_binary64_16739` `distribute-lft-out_binary64_16738`

Counts

187 → 538

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3110
1	615	2877
2	2334	2768
3	3485	2768

prune529.0ms (12.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	538	0	538
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	538	3	541

Error

Counts

541 → 3

Compiler

Compiled 11250 to 3494 computations (68.9% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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-lft-sqr_binary64_16842 exp-cbrt_binary64_16841 exp-sqrt_binary64_16840 exp-prod_binary64_16839 div-exp_binary64_16838 rec-exp_binary64_16837 prod-exp_binary64_16836 exp-diff_binary64_16835 exp-neg_binary64_16834 exp-sum_binary64_16833 e-exp-1_binary64_16832 1-exp_binary64_16831 exp-1-e_binary64_16830 exp-0_binary64_16829 rem-log-exp_binary64_16828 rem-exp-log_binary64_16827 cube-unmult_binary64_16824 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 sqr-neg_binary64_16801 rem-sqrt-square_binary64_16800 rem-square-sqrt_binary64_16799 times-frac_binary64_16793 div-sub_binary64_16792 neg-mul-1_binary64_16783 neg-sub0_binary64_16782 unsub-neg_binary64_16781 sub-neg_binary64_16780 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 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 pow-sqr_binary64_16760 sqr-pow_binary64_16759 difference-of-sqr--1_binary64_16758 difference-of-sqr-1_binary64_16757 difference-of-squares_binary64_16756 unswap-sqr_binary64_16755 swap-sqr_binary64_16754 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 distribute-rgt1-in_binary64_16743 distribute-lft1-in_binary64_16742 distribute-rgt-out--_binary64_16741 distribute-rgt-out_binary64_16740 distribute-lft-out--_binary64_16739 distribute-lft-out_binary64_16738 distribute-rgt-in_binary64_16737 distribute-lft-in_binary64_16736 count-2_binary64_16735 associate-/l/_binary64_16734 associate-/r/_binary64_16733 associate-/l*_binary64_16732 associate-/r*_binary64_16731 associate-*l/_binary64_16730 associate-*r/_binary64_16729 associate-*l*_binary64_16728 associate-*r*_binary64_16727 associate--r-_binary64_16726 associate--l-_binary64_16725 associate--l+_binary64_16724 associate--r+_binary64_16723 associate-+l-_binary64_16722 associate-+r-_binary64_16721 associate-+l+_binary64_16720 associate-+r+_binary64_16719 *-commutative_binary64_16718 +-commutative_binary64_16717

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes510.0ms (11.7%)

Compiler: Compiled 1249 to 1081 computations (13.5% saved)

bsearch56.0ms (1.3%)

Compiler: Compiled 1 to 3 computations (-200% saved)

Details

analyze348.0ms (8%)

sample24.0ms (0.6%)

simplify427.0ms (9.8%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite35.0ms (0.8%)

series247.0ms (5.7%)

simplify114.0ms (2.6%)

prune96.0ms (2.2%)

localize8.0ms (0.2%)

rewrite198.0ms (4.6%)

series593.0ms (13.7%)

simplify1.1s (25.9%)

prune529.0ms (12.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify14.0ms (0.3%)

prune1.0ms (0%)

regimes510.0ms (11.7%)

bsearch56.0ms (1.3%)

end0.0ms (0%)

Profiling