Details

analyze63.0ms (4.1%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms	201×	body	128	valid
2.0ms	23×	body	1024	valid
1.0ms	17×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify510.0ms (33%)

Algorithm

1×	egg-herbie

Rules

1131×	`unsub-neg_binary64_24965`
724×	`exp-prod_binary64_25023`
386×	`cube-prod_binary64_24999`
245×	`exp-sum_binary64_25017`
233×	`sub-neg_binary64_24964`
215×	`exp-diff_binary64_25019`
206×	`neg-sub0_binary64_24966`
202×	`neg-mul-1_binary64_24967`
201×	`swap-sqr_binary64_24938`
161×	`div-sub_binary64_24976`
156×	`distribute-rgt-neg-out_binary64_24931`
136×	`associate-+l-_binary64_24906`
124×	`distribute-rgt-in_binary64_24921`
117×	`distribute-neg-out_binary64_24933`
114×	`associate-+l+_binary64_24904`
112×	`associate--r+_binary64_24907`
111×	`associate-r_binary64_24911`
107×	`exp-neg_binary64_25018`
104×	`distribute-lft-in_binary64_24920`
100×	`distribute-lft-neg-out_binary64_24930`
97×	`associate-+r+_binary64_24903`
96×	`sqr-neg_binary64_24985`
95×	`distribute-rgt1-in_binary64_24927`
89×	`associate-l_binary64_24912`
86×	`distribute-neg-in_binary64_24932`
83×	`associate--l+_binary64_24908`
82×	`pow-plus_binary64_25034`
78×	`*-commutative_binary64_24902`
72×	`distribute-rgt-out_binary64_24924`
71×	`associate-+r-_binary64_24905`
66×	`+-commutative_binary64_24901`
65×	`cancel-sign-sub-inv_binary64_24937`
56×	`associate--r-_binary64_24910`
51×	`distribute-rgt-neg-in_binary64_24929`
41×	`associate--l-_binary64_24909`
39×	`associate-*l/_binary64_24914`
35×	`sub0-neg_binary64_24958`
30×	`distribute-rgt-out--_binary64_24925`
23×	`+-rgt-identity_binary64_24956`
21×	`sqr-pow_binary64_24943` `distribute-lft-neg-in_binary64_24928`
18×	`*-rgt-identity_binary64_24961`
17×	`remove-double-neg_binary64_24959`
16×	`exp-lft-sqr_binary64_25026`
13×	`mul0-rgt_binary64_24954`
12×	`pow-base-1_binary64_25031` `mul0-lft_binary64_24953`
11×	`pow-sqr_binary64_24944`
10×	`distribute-lft1-in_binary64_24926`
9×	`*-lft-identity_binary64_24960`
7×	`cube-neg_binary64_24998` `distribute-lft-out_binary64_24922`
4×	`prod-exp_binary64_25020` `cube-div_binary64_25000` `cancel-sign-sub_binary64_24936` `count-2_binary64_24919`
3×	`cube-unmult_binary64_25008` `times-frac_binary64_24977` `mul-1-neg_binary64_24963`
2×	`--rgt-identity_binary64_24957` `+-lft-identity_binary64_24955` `+-inverses_binary64_24950` `distribute-lft-out--_binary64_24923`
1×	`1-exp_binary64_25015` `exp-1-e_binary64_25014` `difference-of-squares_binary64_24940` `distribute-neg-frac_binary64_24935` `associate-/l_binary64_24916` `associate-/r_binary64_24915`
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_25234` `erf-erfc_binary64_25233` `erf-odd_binary64_25232` `if-if-and-not_binary64_25231` `if-if-and_binary64_25230` `if-if-or-not_binary64_25229` `if-if-or_binary64_25228` `if-not_binary64_25227` `if-same_binary64_25226` `if-false_binary64_25225` `if-true_binary64_25224` `not-gte_binary64_25223` `not-lte_binary64_25222` `not-gt_binary64_25221` `not-lt_binary64_25220` `gte-same_binary64_25219` `lte-same_binary64_25218` `gt-same_binary64_25217` `lt-same_binary64_25216` `sinh---cosh_binary64_25163` `sinh-+-cosh_binary64_25162` `sinh-cosh_binary64_25161` `tanh-def-c_binary64_25160` `tanh-def-b_binary64_25159` `tanh-def-a_binary64_25158` `cosh-def_binary64_25157` `sinh-def_binary64_25156` `tan-neg_binary64_25103` `cos-neg_binary64_25102` `sin-neg_binary64_25101` `tan-0_binary64_25100` `cos-0_binary64_25099` `sin-0_binary64_25098` `hang-m-tan_binary64_25097` `hang-p-tan_binary64_25096` `hang-m0-tan_binary64_25095` `hang-p0-tan_binary64_25094` `hang-0m-tan_binary64_25093` `hang-0p-tan_binary64_25092` `tan-+PI/2_binary64_25091` `tan-+PI_binary64_25090` `tan-PI_binary64_25089` `tan-PI/3_binary64_25088` `tan-PI/4_binary64_25087` `tan-PI/6_binary64_25086` `cos-+PI/2_binary64_25085` `cos-+PI_binary64_25084` `cos-PI_binary64_25083` `cos-PI/2_binary64_25082` `cos-PI/3_binary64_25081` `cos-PI/4_binary64_25080` `cos-PI/6_binary64_25079` `sin-+PI/2_binary64_25078` `sin-+PI_binary64_25077` `sin-PI_binary64_25076` `sin-PI/2_binary64_25075` `sin-PI/3_binary64_25074` `sin-PI/4_binary64_25073` `sin-PI/6_binary64_25072` `sub-1-sin_binary64_25071` `sub-1-cos_binary64_25070` `-1-add-sin_binary64_25069` `-1-add-cos_binary64_25068` `1-sub-sin_binary64_25067` `1-sub-cos_binary64_25066` `cos-sin-sum_binary64_25065` `log-E_binary64_25061` `log-pow_binary64_25060` `log-rec_binary64_25059` `log-div_binary64_25058` `log-prod_binary64_25057` `pow-base-0_binary64_25055` `unpow1/3_binary64_25038` `unpow3_binary64_25037` `unpow2_binary64_25036` `unpow1/2_binary64_25035` `exp-to-pow_binary64_25033` `unpow0_binary64_25030` `unpow1_binary64_25029` `unpow-1_binary64_25028` `exp-lft-cube_binary64_25027` `exp-cbrt_binary64_25025` `exp-sqrt_binary64_25024` `div-exp_binary64_25022` `rec-exp_binary64_25021` `e-exp-1_binary64_25016` `exp-0_binary64_25013` `rem-log-exp_binary64_25012` `rem-exp-log_binary64_25011` `cube-mult_binary64_25001` `rem-3cbrt-rft_binary64_24997` `rem-3cbrt-lft_binary64_24996` `rem-cbrt-cube_binary64_24995` `rem-cube-cbrt_binary64_24994` `sqr-abs_binary64_24986` `rem-sqrt-square_binary64_24984` `rem-square-sqrt_binary64_24983` `/-rgt-identity_binary64_24962` `div0_binary64_24952` `-inverses_binary64_24951` `lft-mult-inverse_binary64_24949` `rgt-mult-inverse_binary64_24948` `remove-double-div_binary64_24947` `difference-of-sqr--1_binary64_24942` `difference-of-sqr-1_binary64_24941` `unswap-sqr_binary64_24939` `distribute-frac-neg_binary64_24934` `associate-/l/_binary64_24918` `associate-/r/_binary64_24917` `associate-r/_binary64_24913`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	35	13
3	91	13
4	294	13
5	814	10
6	1465	10
7	2346	10

prune4.0ms (0.3%)

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 21 to 17 computations (19% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x y) y)

rewrite21.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_25010` `*-un-lft-identity_binary64_24971` `cancel-sign-sub-inv_binary64_24937`
2×	`add-cube-cbrt_binary64_25006` `add-sqr-sqrt_binary64_24993`
1×	`diff-log_binary64_25063` `pow1_binary64_25032` `add-exp-log_binary64_25009` `add-cbrt-cube_binary64_25007` `flip3--_binary64_24975` `sub-neg_binary64_24964` `flip--_binary64_24946` `distribute-rgt-out--_binary64_24925`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x y) y)

Compiler

Compiled 203 to 86 computations (57.6% saved)

series92.0ms (5.9%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

86.0ms

(-.f64 (*.f64 x y) y)

Compiler

Compiled 162 to 133 computations (17.9% saved)

simplify119.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

476×	`unswap-sqr_binary64_24939`
412×	`unsub-neg_binary64_24965`
395×	`cancel-sign-sub-inv_binary64_24937`
248×	`associate-l_binary64_24912`
235×	`exp-prod_binary64_25023`
219×	`associate-r_binary64_24911`
200×	`*-commutative_binary64_24902`
178×	`distribute-rgt-out_binary64_24924`
165×	`neg-sub0_binary64_24966`
152×	`sqr-pow_binary64_24943`
148×	`neg-mul-1_binary64_24967` `difference-of-squares_binary64_24940`
146×	`cube-prod_binary64_24999`
135×	`log-prod_binary64_25057`
116×	`distribute-lft-out_binary64_24922`
100×	`distribute-rgt-neg-out_binary64_24931`
91×	`distribute-lft-neg-out_binary64_24930`
78×	`sub-neg_binary64_24964`
73×	`times-frac_binary64_24977`
72×	`exp-sum_binary64_25017`
64×	`swap-sqr_binary64_24938`
55×	`pow-sqr_binary64_24944` `associate-+r+_binary64_24903`
53×	`distribute-rgt-out--_binary64_24925`
48×	`distribute-rgt-in_binary64_24921` `associate-+l+_binary64_24904`
44×	`distribute-lft-in_binary64_24920`
39×	`+-commutative_binary64_24901`
34×	`exp-diff_binary64_25019`
29×	`distribute-rgt-neg-in_binary64_24929`
28×	`distribute-lft-out--_binary64_24923`
24×	`remove-double-neg_binary64_24959`
23×	`unpow3_binary64_25037` `distribute-lft-neg-in_binary64_24928`
20×	`+-rgt-identity_binary64_24956`
19×	`sqr-neg_binary64_24985` `*-rgt-identity_binary64_24961` `associate-+l-_binary64_24906`
18×	`cube-mult_binary64_25001` `associate-+r-_binary64_24905`
16×	`exp-neg_binary64_25018`
15×	`*-lft-identity_binary64_24960`
13×	`div-sub_binary64_24976` `sub0-neg_binary64_24958`
12×	`distribute-neg-in_binary64_24932` `associate-/l*_binary64_24916`
11×	`cube-neg_binary64_24998` `mul0-rgt_binary64_24954` `mul0-lft_binary64_24953`
10×	`associate--r+_binary64_24907`
9×	`cube-unmult_binary64_25008` `associate-/l/_binary64_24918`
8×	`associate-*r/_binary64_24913`
7×	`pow-plus_binary64_25034` `mul-1-neg_binary64_24963` `+-lft-identity_binary64_24955`
6×	`associate-/r/_binary64_24917` `associate-/r*_binary64_24915`
5×	`distribute-rgt1-in_binary64_24927` `distribute-lft1-in_binary64_24926`
3×	`--rgt-identity_binary64_24957`
2×	`log-pow_binary64_25060` `pow-base-1_binary64_25031` `rem-sqrt-square_binary64_24984` `difference-of-sqr--1_binary64_24942` `associate--r-_binary64_24910`
1×	`div-exp_binary64_25022` `prod-exp_binary64_25020` `1-exp_binary64_25015` `exp-1-e_binary64_25014` `rem-log-exp_binary64_25012` `rem-3cbrt-lft_binary64_24996` `rem-square-sqrt_binary64_24983` `/-rgt-identity_binary64_24962` `-inverses_binary64_24951` `difference-of-sqr-1_binary64_24941` `count-2_binary64_24919` `associate-l/_binary64_24914`
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_25234` `erf-erfc_binary64_25233` `erf-odd_binary64_25232` `if-if-and-not_binary64_25231` `if-if-and_binary64_25230` `if-if-or-not_binary64_25229` `if-if-or_binary64_25228` `if-not_binary64_25227` `if-same_binary64_25226` `if-false_binary64_25225` `if-true_binary64_25224` `not-gte_binary64_25223` `not-lte_binary64_25222` `not-gt_binary64_25221` `not-lt_binary64_25220` `gte-same_binary64_25219` `lte-same_binary64_25218` `gt-same_binary64_25217` `lt-same_binary64_25216` `sinh---cosh_binary64_25163` `sinh-+-cosh_binary64_25162` `sinh-cosh_binary64_25161` `tanh-def-c_binary64_25160` `tanh-def-b_binary64_25159` `tanh-def-a_binary64_25158` `cosh-def_binary64_25157` `sinh-def_binary64_25156` `tan-neg_binary64_25103` `cos-neg_binary64_25102` `sin-neg_binary64_25101` `tan-0_binary64_25100` `cos-0_binary64_25099` `sin-0_binary64_25098` `hang-m-tan_binary64_25097` `hang-p-tan_binary64_25096` `hang-m0-tan_binary64_25095` `hang-p0-tan_binary64_25094` `hang-0m-tan_binary64_25093` `hang-0p-tan_binary64_25092` `tan-+PI/2_binary64_25091` `tan-+PI_binary64_25090` `tan-PI_binary64_25089` `tan-PI/3_binary64_25088` `tan-PI/4_binary64_25087` `tan-PI/6_binary64_25086` `cos-+PI/2_binary64_25085` `cos-+PI_binary64_25084` `cos-PI_binary64_25083` `cos-PI/2_binary64_25082` `cos-PI/3_binary64_25081` `cos-PI/4_binary64_25080` `cos-PI/6_binary64_25079` `sin-+PI/2_binary64_25078` `sin-+PI_binary64_25077` `sin-PI_binary64_25076` `sin-PI/2_binary64_25075` `sin-PI/3_binary64_25074` `sin-PI/4_binary64_25073` `sin-PI/6_binary64_25072` `sub-1-sin_binary64_25071` `sub-1-cos_binary64_25070` `-1-add-sin_binary64_25069` `-1-add-cos_binary64_25068` `1-sub-sin_binary64_25067` `1-sub-cos_binary64_25066` `cos-sin-sum_binary64_25065` `log-E_binary64_25061` `log-rec_binary64_25059` `log-div_binary64_25058` `pow-base-0_binary64_25055` `unpow1/3_binary64_25038` `unpow2_binary64_25036` `unpow1/2_binary64_25035` `exp-to-pow_binary64_25033` `unpow0_binary64_25030` `unpow1_binary64_25029` `unpow-1_binary64_25028` `exp-lft-cube_binary64_25027` `exp-lft-sqr_binary64_25026` `exp-cbrt_binary64_25025` `exp-sqrt_binary64_25024` `rec-exp_binary64_25021` `e-exp-1_binary64_25016` `exp-0_binary64_25013` `rem-exp-log_binary64_25011` `cube-div_binary64_25000` `rem-3cbrt-rft_binary64_24997` `rem-cbrt-cube_binary64_24995` `rem-cube-cbrt_binary64_24994` `sqr-abs_binary64_24986` `div0_binary64_24952` `+-inverses_binary64_24950` `lft-mult-inverse_binary64_24949` `rgt-mult-inverse_binary64_24948` `remove-double-div_binary64_24947` `cancel-sign-sub_binary64_24936` `distribute-neg-frac_binary64_24935` `distribute-frac-neg_binary64_24934` `distribute-neg-out_binary64_24933` `associate--l-_binary64_24909` `associate--l+_binary64_24908`

Counts

24 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	226
1	114	208
2	255	202
3	1197	202
4	2483	202

prune56.0ms (3.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	1	70

Error

0.0b

Counts

70 → 1

Compiler

Compiled 1042 to 442 computations (57.6% saved)

regimes46.0ms (3%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 168 to 172 computations (-2.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_24901`
2×	`sub-neg_binary64_24964` `*-commutative_binary64_24902`
1×	`1-exp_binary64_25015` `neg-mul-1_binary64_24967` `neg-sub0_binary64_24966`
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_25231` `if-if-and_binary64_25230` `if-if-or-not_binary64_25229` `if-if-or_binary64_25228` `if-not_binary64_25227` `if-same_binary64_25226` `if-false_binary64_25225` `if-true_binary64_25224` `tan-0_binary64_25100` `cos-0_binary64_25099` `sin-0_binary64_25098` `unpow1_binary64_25029` `e-exp-1_binary64_25016` `exp-1-e_binary64_25014` `exp-0_binary64_25013` `sqr-abs_binary64_24986` `sqr-neg_binary64_24985` `unsub-neg_binary64_24965` `mul-1-neg_binary64_24963` `/-rgt-identity_binary64_24962` `-rgt-identity_binary64_24961` `-lft-identity_binary64_24960` `remove-double-neg_binary64_24959` `sub0-neg_binary64_24958` `--rgt-identity_binary64_24957` `+-rgt-identity_binary64_24956` `+-lft-identity_binary64_24955` `cancel-sign-sub-inv_binary64_24937` `cancel-sign-sub_binary64_24936` `distribute-neg-frac_binary64_24935` `distribute-frac-neg_binary64_24934` `distribute-neg-out_binary64_24933` `distribute-neg-in_binary64_24932` `distribute-rgt-neg-out_binary64_24931` `distribute-lft-neg-out_binary64_24930` `distribute-rgt-neg-in_binary64_24929` `distribute-lft-neg-in_binary64_24928`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	19	10
4	20	10

Proof

(+ f64 1 (- f64 (* f64 h0 h1) h1))

end0.0ms (0%)

sample605.0ms (39.1%)

Algorithm

1×

intervals

Results

153.0ms	6031×	body	128	valid
62.0ms	679×	body	1024	valid
51.0ms	800×	body	512	valid
21.0ms	481×	body	256	valid
2.0ms	69×	body	128	invalid
1.0ms	9×	body	2048	valid

Compiler

Compiled 59 to 58 computations (1.7% saved)

Details

analyze63.0ms (4.1%)

sample23.0ms (1.5%)

simplify510.0ms (33%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite21.0ms (1.3%)

series92.0ms (5.9%)

simplify119.0ms (7.7%)

prune56.0ms (3.6%)

regimes46.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample605.0ms (39.1%)

Profiling