Details

analyze415.0ms (7%)

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)

sample69.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 31 computations (0% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune4.0ms (0.1%)

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)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite42.0ms (0.7%)

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:

17.0ms

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

Compiler

Compiled 336 to 85 computations (74.7% saved)

series170.0ms (2.9%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

157.0ms

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

Compiler

Compiled 426 to 269 computations (36.9% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5029	456

prune26.0ms (0.4%)

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 453 to 102 computations (77.5% saved)

localize6.0ms (0.1%)

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))

rewrite40.0ms (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:

7.0ms	(*.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)

series322.0ms (5.4%)

Error

Counts

2 → 36

Calls

2 calls:

225.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
78.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 801 to 473 computations (40.9% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune71.0ms (1.2%)

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 774 to 149 computations (80.7% saved)

localize15.0ms (0.2%)

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)))))

rewrite184.0ms (3.1%)

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:

33.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
17.0ms	(*.f64 a (+.f64 d (+.f64 b c)))
13.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
12.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))

Compiler

Compiled 2640 to 449 computations (83% saved)

series744.0ms (12.6%)

Error

Counts

4 → 74

Calls

4 calls:

232.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
178.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
157.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
135.0ms	(*.f64 a (+.f64 d (+.f64 b c)))

Compiler

Compiled 4008 to 2237 computations (44.2% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4977	2284
1	4977	2284

prune145.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	181	4	185

Error

Counts

185 → 4

Compiler

Compiled 3091 to 441 computations (85.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (*.f64 a (+.f64 d (+.f64 b c))))
0.0b	(*.f64 a (+.f64 d (+.f64 b c)))
4.5b	(exp.f64 (log.f64 (*.f64 a (+.f64 d (+.f64 b c)))))

rewrite69.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_3208` `*-un-lft-identity_binary64_3147`
8×	`add-sqr-sqrt_binary64_3169` `add-exp-log_binary64_3185`
6×	`add-cube-cbrt_binary64_3182` `associate-*r/_binary64_3089`
5×	`exp-prod_binary64_3199` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087`
4×	`log-pow_binary64_3236` `log-div_binary64_3234`
3×	`pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `flip-+_binary64_3121` `add-log-exp_binary64_3186` `associate-l_binary64_3088` `distribute-lft-out_binary64_3098`
2×	`exp-diff_binary64_3195` `log-prod_binary64_3233` `prod-exp_binary64_3196` `rem-log-exp_binary64_3188`
1×	`exp-sum_binary64_3193` `rem-exp-log_binary64_3187` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `*-commutative_binary64_3078`

Counts

3 → 54

Calls

3 calls:

8.0ms	(*.f64 a (+.f64 d (+.f64 b c)))
8.0ms	(exp.f64 (log.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
7.0ms	(log.f64 (*.f64 a (+.f64 d (+.f64 b c))))

Compiler

Compiled 895 to 216 computations (75.9% saved)

series1.4s (24.1%)

Error

Counts

3 → 58

Calls

3 calls:

1.0s	(exp.f64 (log.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
203.0ms	(log.f64 (*.f64 a (+.f64 d (+.f64 b c))))
154.0ms	(*.f64 a (+.f64 d (+.f64 b c)))

Compiler

Compiled 2253 to 1586 computations (29.6% saved)

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5234	1560

prune64.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Error

Counts

116 → 4

Compiler

Compiled 1407 to 333 computations (76.3% saved)

regimes305.0ms (5.2%)

Accuracy

Total 0.0b remaining (79%)

Threshold costs 0.0b (79%)

Compiler

Compiled 1673 to 1340 computations (19.9% saved)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Remove

(sort b c d)

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.4s (24.4%)

Algorithm

1×

intervals

Results

430.0ms	8000×	pre	128	true
258.0ms	8000×	body	128	valid

Compiler

Compiled 232 to 190 computations (18.1% saved)

Details

analyze415.0ms (7%)

sample69.0ms (1.2%)

simplify14.0ms (0.2%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite42.0ms (0.7%)

series170.0ms (2.9%)

simplify74.0ms (1.3%)

prune26.0ms (0.4%)

localize6.0ms (0.1%)

rewrite40.0ms (0.7%)

series322.0ms (5.4%)

simplify74.0ms (1.2%)

prune71.0ms (1.2%)

localize15.0ms (0.2%)

rewrite184.0ms (3.1%)

series744.0ms (12.6%)

simplify96.0ms (1.6%)

prune145.0ms (2.5%)

localize9.0ms (0.2%)

rewrite69.0ms (1.2%)

series1.4s (24.1%)

simplify47.0ms (0.8%)

prune64.0ms (1.1%)

regimes305.0ms (5.2%)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

end0.0ms (0%)

sample1.4s (24.4%)

Profiling