Details

analyze2.1s (20.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5046	1591
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample88.0ms (0.9%)

Algorithm

1×

intervals

Results

32.0ms	372×	body	128	invalid
18.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify616.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (610.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

9.4b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 y z) (.f64 t a))
3.0b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_26016`
10×	`add-cube-cbrt_binary64_26029` `pow1_binary64_26055` `add-cbrt-cube_binary64_26030` `*-un-lft-identity_binary64_25994` `add-exp-log_binary64_26032`
9×	`associate-l_binary64_25935` `associate-r_binary64_25934`
7×	`cancel-sign-sub-inv_binary64_25960` `sub-neg_binary64_25987`
6×	`associate-*r/_binary64_25936` `distribute-rgt-in_binary64_25944` `add-log-exp_binary64_26033` `distribute-lft-in_binary64_25943`
4×	`flip--_binary64_25969` `flip3--_binary64_25998`
3×	`prod-exp_binary64_26043` `cbrt-unprod_binary64_26027` `pow-prod-down_binary64_26065` `*-commutative_binary64_25925` `unswap-sqr_binary64_25962`
1×	`diff-log_binary64_26086`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(-.f64 (.f64 y z) (.f64 t a))

series291.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
84.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
81.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
40.0ms	(-.f64 (.f64 y z) (.f64 t a))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4944	1492
1	4944	1492

prune155.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Error

6.3b

Counts

97 → 20

Compiler

Compiled 4146 to 902 computations (78.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.3b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_26016`
9×	`add-cube-cbrt_binary64_26029` `cbrt-prod_binary64_26025` `*-un-lft-identity_binary64_25994`
6×	`pow1_binary64_26055` `add-cbrt-cube_binary64_26030` `cbrt-div_binary64_26026` `add-exp-log_binary64_26032`
4×	`add-log-exp_binary64_26033` `flip--_binary64_25969` `flip3--_binary64_25998`
3×	`associate-l_binary64_25935` `associate-r_binary64_25934` `pow1/3_binary64_26076`
2×	`cancel-sign-sub-inv_binary64_25960` `associate-*r/_binary64_25936` `distribute-rgt-in_binary64_25944` `distribute-lft-in_binary64_25943` `sub-neg_binary64_25987`
1×	`prod-exp_binary64_26043` `cbrt-unprod_binary64_26027` `pow-prod-down_binary64_26065` `*-commutative_binary64_25925` `unswap-sqr_binary64_25962`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

series538.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
153.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
149.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
83.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5004	1393

prune124.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	75	20	95

Error

6.3b

Counts

95 → 20

Compiler

Compiled 4928 to 991 computations (79.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
2.2b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
3.0b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_26055` `add-exp-log_binary64_26032`
19×	`add-sqr-sqrt_binary64_26016`
15×	`add-cbrt-cube_binary64_26030`
13×	`associate-r_binary64_25934`
11×	`prod-exp_binary64_26043` `cbrt-unprod_binary64_26027` `add-cube-cbrt_binary64_26029` `pow-prod-down_binary64_26065` `*-un-lft-identity_binary64_25994`
10×	`associate-l_binary64_25935`
6×	`associate-*r/_binary64_25936`
4×	`cancel-sign-sub-inv_binary64_25960` `distribute-rgt-in_binary64_25944` `cbrt-prod_binary64_26025` `add-log-exp_binary64_26033` `flip--_binary64_25969` `-commutative_binary64_25925` `flip3--_binary64_25998` `unswap-sqr_binary64_25962` `distribute-lft-in_binary64_25943` `associate-l/_binary64_25937` `sub-neg_binary64_25987`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
11.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series444.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b))
131.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 t i)) (cbrt.f64 b)))
83.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
81.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5705	1747

prune146.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	107	21	128

Error

6.3b

Counts

128 → 21

Compiler

Compiled 5182 to 1011 computations (80.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_26016` `associate-*r/_binary64_25936`
6×	`add-cube-cbrt_binary64_26029` `pow1_binary64_26055` `add-cbrt-cube_binary64_26030` `cbrt-div_binary64_26026` `*-un-lft-identity_binary64_25994` `add-exp-log_binary64_26032`
4×	`add-log-exp_binary64_26033` `flip--_binary64_25969` `flip3--_binary64_25998`
3×	`associate-l_binary64_25935` `cbrt-prod_binary64_26025` `associate-r_binary64_25934` `pow1/3_binary64_26076`
2×	`cancel-sign-sub-inv_binary64_25960` `distribute-rgt-in_binary64_25944` `distribute-lft-in_binary64_25943` `sub-neg_binary64_25987`
1×	`prod-exp_binary64_26043` `cbrt-unprod_binary64_26027` `pow-prod-down_binary64_26065` `*-commutative_binary64_25925` `unswap-sqr_binary64_25962`

Counts

4 → 57

Calls

4 calls:

6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))

series608.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
174.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
171.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 t i))))
79.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4998	1282
1	4998	1282

prune81.0ms (0.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	69	21	90

Error

6.3b

Counts

90 → 21

Compiler

Compiled 4018 to 396 computations (90.1% saved)

regimes1.0s (10.1%)

Accuracy

Total 3.8b remaining (32.4%)

Threshold costs 0b (0%)

Compiler

Compiled 17596 to 11748 computations (33.2% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	559	43
1	559	43

end0.0ms (0%)

sample3.5s (33.9%)

Algorithm

1×

intervals

Results

852.0ms	11029×	body	128	invalid
614.0ms	8000×	body	128	valid

Compiler

Compiled 1926 to 1262 computations (34.5% saved)

Details

analyze2.1s (20.9%)

sample88.0ms (0.9%)

simplify616.0ms (6%)

prune7.0ms (0.1%)

localize21.0ms (0.2%)

rewrite32.0ms (0.3%)

series291.0ms (2.8%)

simplify74.0ms (0.7%)

prune155.0ms (1.5%)

localize24.0ms (0.2%)

rewrite26.0ms (0.3%)

series538.0ms (5.3%)

simplify60.0ms (0.6%)

prune124.0ms (1.2%)

localize24.0ms (0.2%)

rewrite48.0ms (0.5%)

series444.0ms (4.3%)

simplify48.0ms (0.5%)

prune146.0ms (1.4%)

localize25.0ms (0.2%)

rewrite30.0ms (0.3%)

series608.0ms (5.9%)

simplify64.0ms (0.6%)

prune81.0ms (0.8%)

regimes1.0s (10.1%)

bsearch0.0ms (0%)

simplify22.0ms (0.2%)

end0.0ms (0%)

sample3.5s (33.9%)

Profiling