Details

analyze46.0ms (1.9%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
71.8%	28.1%	0.1%	7
76.5%	21.9%	1.7%	8
80.4%	16.4%	3.2%	9
82.3%	11.7%	6%	10
84.1%	8.8%	7.1%	11
85%	6%	9%	12
85.8%	4.5%	9.7%	13
86.2%	3.1%	10.7%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify1.3s (55.8%)

Algorithm

1×	egg-herbie

Rules

161×	`div-sub_binary64_16792`
84×	`exp-prod_binary64_16839`
47×	`times-frac_binary64_16793`
46×	`sub-neg_binary64_16780`
28×	`cancel-sign-sub-inv_binary64_16753`
27×	`associate-/l*_binary64_16732`
26×	`unsub-neg_binary64_16781`
21×	`neg-mul-1_binary64_16783`
20×	`associate-/r*_binary64_16731`
19×	`neg-sub0_binary64_16782` `distribute-rgt-out_binary64_16740`
16×	`associate-r_binary64_16727`
15×	`distribute-rgt-in_binary64_16737`
10×	`distribute-neg-in_binary64_16748` `distribute-rgt-out--_binary64_16741` `associate--r+_binary64_16723` `+-commutative_binary64_16717`
9×	`associate-+l-_binary64_16722`
8×	`/-rgt-identity_binary64_16778` `div0_binary64_16768` `*-commutative_binary64_16718`
7×	`associate-+l+_binary64_16720`
6×	`sub0-neg_binary64_16774` `distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744` `associate-/l/_binary64_16734` `associate-l_binary64_16728` `associate-+r-_binary64_16721` `associate-+r+_binary64_16719`
5×	`exp-sum_binary64_16833` `associate-/r/_binary64_16733`
4×	`cube-unmult_binary64_16824` `cube-div_binary64_16816` `+-rgt-identity_binary64_16772` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-lft-in_binary64_16736`
3×	`pow-plus_binary64_16850` `cube-prod_binary64_16815` `sqr-neg_binary64_16801` `remove-double-neg_binary64_16775` `mul0-lft_binary64_16769` `-inverses_binary64_16767` `distribute-rgt1-in_binary64_16743` `distribute-lft-out--_binary64_16739` `distribute-lft-out_binary64_16738` `associate-r/_binary64_16729` `associate--r-_binary64_16726`
2×	`-rgt-identity_binary64_16777` `--rgt-identity_binary64_16773` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `sqr-pow_binary64_16759` `distribute-rgt-neg-out_binary64_16747` `distribute-lft-neg-out_binary64_16746` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735` `associate-l/_binary64_16730`
1×	`exp-lft-sqr_binary64_16842` `1-exp_binary64_16831` `*-lft-identity_binary64_16776` `pow-sqr_binary64_16760` `swap-sqr_binary64_16754` `associate--l+_binary64_16724`
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` `exp-diff_binary64_16835` `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-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` `mul-1-neg_binary64_16779` `+-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` `difference-of-squares_binary64_16756` `unswap-sqr_binary64_16755` `cancel-sign-sub_binary64_16752` `distribute-neg-out_binary64_16749` `associate--l-_binary64_16725`

Counts

1 → 2

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	29	7
4	51	7
5	71	7
6	142	7
7	457	1
8	23	1

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Compiler

Compiled 11 to 11 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 1 (/.f64 y x))

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_16809`
13×	`cancel-sign-sub-inv_binary64_16753`
12×	`*-un-lft-identity_binary64_16787`
11×	`times-frac_binary64_16793`
8×	`add-cube-cbrt_binary64_16822`
4×	`difference-of-squares_binary64_16756`
3×	`add-log-exp_binary64_16826`
1×	`diff-log_binary64_16879` `pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `div-inv_binary64_16784` `distribute-lft-out--_binary64_16739`

Counts

1 → 29

Calls

1 calls:

8.0ms

(-.f64 1 (/.f64 y x))

Compiler

Compiled 381 to 190 computations (50.1% saved)

series98.0ms (4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

92.0ms

(-.f64 1 (/.f64 y x))

Compiler

Compiled 126 to 108 computations (14.3% saved)

simplify328.0ms (13.6%)

Algorithm

1×	egg-herbie

Rules

331×	`neg-mul-1_binary64_16783`
303×	`exp-prod_binary64_16839`
283×	`div-sub_binary64_16792`
237×	`associate-l_binary64_16728`
226×	`associate-/l*_binary64_16732`
200×	`unsub-neg_binary64_16781`
193×	`associate-l/_binary64_16730` `associate-r*_binary64_16727`
151×	`distribute-lft-neg-out_binary64_16746`
134×	`times-frac_binary64_16793`
125×	`cancel-sign-sub-inv_binary64_16753`
123×	`associate-*r/_binary64_16729`
118×	`distribute-rgt-neg-out_binary64_16747`
115×	`exp-diff_binary64_16835`
100×	`distribute-frac-neg_binary64_16750`
94×	`distribute-neg-frac_binary64_16751`
92×	`sub-neg_binary64_16780`
87×	`cube-prod_binary64_16815`
86×	`distribute-rgt-neg-in_binary64_16745`
85×	`neg-sub0_binary64_16782`
77×	`sqr-neg_binary64_16801`
76×	`*-commutative_binary64_16718`
75×	`cube-div_binary64_16816` `associate-+r+_binary64_16719`
74×	`associate-/l/_binary64_16734`
72×	`distribute-rgt-in_binary64_16737`
66×	`sqr-pow_binary64_16759`
65×	`distribute-rgt-out_binary64_16740` `distribute-lft-in_binary64_16736`
64×	`exp-sum_binary64_16833` `associate-/r*_binary64_16731`
62×	`distribute-lft-out_binary64_16738`
59×	`associate-+l-_binary64_16722` `associate-+l+_binary64_16720`
57×	`distribute-lft-neg-in_binary64_16744` `+-commutative_binary64_16717`
54×	`swap-sqr_binary64_16754`
51×	`exp-neg_binary64_16834`
43×	`unswap-sqr_binary64_16755`
42×	`pow-plus_binary64_16850`
39×	`log-pow_binary64_16876`
38×	`distribute-neg-out_binary64_16749` `associate--l-_binary64_16725`
36×	`exp-to-pow_binary64_16849` `associate-/r/_binary64_16733`
35×	`*-lft-identity_binary64_16776`
32×	`pow-sqr_binary64_16760`
31×	`unpow3_binary64_16853`
26×	`mul0-rgt_binary64_16770` `mul0-lft_binary64_16769`
24×	`cube-mult_binary64_16817`
20×	`log-prod_binary64_16873` `*-rgt-identity_binary64_16777`
19×	`distribute-rgt-out--_binary64_16741`
18×	`div0_binary64_16768`
17×	`pow-base-1_binary64_16847` `div-exp_binary64_16838` `associate--r+_binary64_16723`
16×	`prod-exp_binary64_16836`
15×	`distribute-rgt1-in_binary64_16743`
14×	`/-rgt-identity_binary64_16778` `associate-+r-_binary64_16721`
11×	`cube-unmult_binary64_16824` `remove-double-div_binary64_16763`
9×	`cancel-sign-sub_binary64_16752`
8×	`rem-sqrt-square_binary64_16800` `difference-of-squares_binary64_16756`
7×	`sub0-neg_binary64_16774`
6×	`difference-of-sqr-1_binary64_16757` `distribute-lft-out--_binary64_16739`
4×	`rec-exp_binary64_16837` `associate--l+_binary64_16724`
3×	`rem-square-sqrt_binary64_16799` `mul-1-neg_binary64_16779`
2×	`log-div_binary64_16874` `cube-neg_binary64_16814` `rem-3cbrt-lft_binary64_16812` `+-rgt-identity_binary64_16772`
1×	`log-rec_binary64_16875` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-log-exp_binary64_16828` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `--rgt-identity_binary64_16773` `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` `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` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `remove-double-neg_binary64_16775` `+-lft-identity_binary64_16771` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `difference-of-sqr--1_binary64_16758` `distribute-neg-in_binary64_16748` `distribute-lft1-in_binary64_16742` `associate--r-_binary64_16726`

Counts

41 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	387
1	238	372
2	678	372
3	2252	372
4	3996	372

prune15.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	1	25

Error

0.0b

Counts

25 → 1

Compiler

Compiled 209 to 91 computations (56.5% saved)

regimes38.0ms (1.6%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 99 to 103 computations (-4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_16780` `+-commutative_binary64_16717`
2×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782` `*-commutative_binary64_16718`
1×	`1-exp_binary64_16831` `distribute-neg-frac_binary64_16751`
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-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	6	7
1	10	7
2	16	7
3	20	7
4	23	7
5	24	7

Proof

(- f64 1 (/ f64 h0 h1))

end0.0ms (0%)

sample478.0ms (19.8%)

Algorithm

1×

intervals

Results

160.0ms	8000×	body	128	valid
3.0ms	174×	body	128	invalid

Compiler

Compiled 39 to 41 computations (-5.1% saved)

Details

analyze46.0ms (1.9%)

sample19.0ms (0.8%)

simplify1.3s (55.8%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite37.0ms (1.5%)

series98.0ms (4%)

simplify328.0ms (13.6%)

prune15.0ms (0.6%)

regimes38.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample478.0ms (19.8%)

Profiling