Details

analyze342.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	70
1	133	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Symmetry

(sort b c d)

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample47.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 31 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_3147`
5×	`add-sqr-sqrt_binary64_3169` `associate-r_binary64_3087`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088` `distribute-lft-out_binary64_3098`
2×	`associate-*r/_binary64_3089`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `add-log-exp_binary64_3186` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `flip3-+_binary64_3150` `flip-+_binary64_3121` `*-commutative_binary64_3078`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 336 to 85 computations (74.7% saved)

series153.0ms (2.8%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

141.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 426 to 269 computations (36.9% saved)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5029	456

prune28.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 463 to 104 computations (77.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.1b	(*.f64 a (+.f64 b c))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `associate-r_binary64_3087`
3×	`associate-l_binary64_3088`
2×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `flip3-+_binary64_3150` `associate-*r/_binary64_3089` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `associate-+l+_binary64_3080`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 a (+.f64 b c))
6.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

Compiler

Compiled 590 to 145 computations (75.4% saved)

series282.0ms (5.2%)

Error

Counts

2 → 36

Calls

2 calls:

178.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
90.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 801 to 473 computations (40.9% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune38.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

Counts

77 → 4

Compiler

Compiled 784 to 151 computations (80.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (+.f64 d (+.f64 b c)))
0.1b	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
0.1b	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
0.5b	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))

rewrite132.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_3208`
32×	`sqrt-pow1_binary64_3165`
23×	`pow-prod-down_binary64_3218`
20×	`associate-*r/_binary64_3089`
16×	`sqrt-div_binary64_3164`
15×	`*-un-lft-identity_binary64_3147`
14×	`add-sqr-sqrt_binary64_3169`
12×	`pow1/2_binary64_3227`
10×	`pow-prod-up_binary64_3217` `add-cube-cbrt_binary64_3182`
9×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-r_binary64_3087`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
7×	`associate-l_binary64_3088`
6×	`pow-sqr_binary64_3120` `sqrt-prod_binary64_3163`
4×	`add-log-exp_binary64_3186` `frac-times_binary64_3157` `swap-sqr_binary64_3114`
3×	`distribute-lft-out_binary64_3098`
2×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `associate-l/_binary64_3090` `-commutative_binary64_3078`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `sqrt-unprod_binary64_3167` `rem-square-sqrt_binary64_3159` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`

Counts

4 → 107

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
11.0ms	(*.f64 a (+.f64 d (+.f64 b c)))
6.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
6.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))

Compiler

Compiled 2640 to 449 computations (83% saved)

series655.0ms (12%)

Error

Counts

4 → 76

Calls

4 calls:

178.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
151.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
146.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
138.0ms	(*.f64 a (+.f64 d (+.f64 b c)))

Compiler

Compiled 4120 to 2285 computations (44.5% saved)

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4967	2422
1	4967	2422

prune111.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	183	4	187

Error

Counts

187 → 4

Compiler

Compiled 3209 to 489 computations (84.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
0.5b	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
6.9b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

rewrite152.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_3147`
20×	`add-sqr-sqrt_binary64_3169`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`add-cube-cbrt_binary64_3182`
8×	`distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `associate-r_binary64_3087`
7×	`associate-l_binary64_3088`
6×	`add-log-exp_binary64_3186` `times-frac_binary64_3153` `associate-r/_binary64_3089` `associate-/r_binary64_3091` `associate--l+_binary64_3084` `flip3-+_binary64_3150` `flip-+_binary64_3121` `swap-sqr_binary64_3114`
4×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `flip3--_binary64_3151` `flip--_binary64_3122` `frac-times_binary64_3157`
3×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `pow-prod-down_binary64_3218` `unswap-sqr_binary64_3115` `-commutative_binary64_3078` `associate-l/_binary64_3090`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l*_binary64_3092` `pow2_binary64_3228` `pow-prod-up_binary64_3217` `pow-plus_binary64_3210` `pow-sqr_binary64_3120` `diff-log_binary64_3239`

Counts

4 → 115

Calls

4 calls:

18.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
13.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
13.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
9.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

Compiler

Compiled 3343 to 546 computations (83.7% saved)

series1.0s (19.2%)

Error

Counts

4 → 63

Calls

4 calls:

482.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
299.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
155.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
63.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

Compiler

Compiled 3385 to 2217 computations (34.5% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4996	2936
1	4996	2936

prune128.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 3678 to 988 computations (73.1% saved)

regimes233.0ms (4.3%)

Accuracy

Total 0.0b remaining (93.9%)

Threshold costs 0.0b (93.9%)

Compiler

Compiled 2008 to 1430 computations (28.8% saved)

bsearch0.0ms (0%)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.7s (30.5%)

Algorithm

1×

intervals

Results

352.0ms	8000×	pre	128	true
194.0ms	8000×	body	128	valid
3.0ms	75×	pre	128	false

Compiler

Compiled 298 to 219 computations (26.5% saved)

Details

analyze342.0ms (6.3%)

sample47.0ms (0.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite29.0ms (0.5%)

series153.0ms (2.8%)

simplify76.0ms (1.4%)

prune28.0ms (0.5%)

localize9.0ms (0.2%)

rewrite37.0ms (0.7%)

series282.0ms (5.2%)

simplify55.0ms (1%)

prune38.0ms (0.7%)

localize7.0ms (0.1%)

rewrite132.0ms (2.4%)

series655.0ms (12%)

simplify84.0ms (1.5%)

prune111.0ms (2%)

localize10.0ms (0.2%)

rewrite152.0ms (2.8%)

series1.0s (19.2%)

simplify103.0ms (1.9%)

prune128.0ms (2.3%)

regimes233.0ms (4.3%)

bsearch0.0ms (0%)

simplify18.0ms (0.3%)

end0.0ms (0%)

sample1.7s (30.5%)

Profiling