Details

analyze9.9s (17.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample995.0ms (1.8%)

Algorithm

1×

intervals

Results

619.0ms	2123×	body	128	invalid
86.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify179.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5169	142

prune12.0ms (0%)

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

Merged error: 24.4b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize91.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.5b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.0b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite87.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12699` `flip--_binary64_12670`
20×	`add-sqr-sqrt_binary64_12717`
16×	`frac-times_binary64_12705`
12×	`-un-lft-identity_binary64_12695` `associate-l_binary64_12636` `add-cube-cbrt_binary64_12730` `add-exp-log_binary64_12733` `associate-r*_binary64_12635` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
8×	`cancel-sign-sub-inv_binary64_12661` `distribute-rgt-in_binary64_12645` `associate-l/_binary64_12638` `sub-neg_binary64_12688` `associate-r/_binary64_12637` `distribute-lft-in_binary64_12644`
4×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`

Counts

4 → 120

Calls

4 calls:

19.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
16.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
14.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

series1.1s (2%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
275.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
271.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
258.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5049	4424

prune620.0ms (1.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	107	25	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	25	133

Merged error: 16.5b

Counts

133 → 25

Compiler

Compiled 16966 to 2623 computations (84.5% saved)

localize94.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.8b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
8.1b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.0b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite109.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12699` `flip--_binary64_12670`
20×	`add-sqr-sqrt_binary64_12717`
16×	`frac-times_binary64_12705`
12×	`-un-lft-identity_binary64_12695` `associate-l_binary64_12636` `add-cube-cbrt_binary64_12730` `add-exp-log_binary64_12733` `associate-r*_binary64_12635` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
8×	`cancel-sign-sub-inv_binary64_12661` `distribute-rgt-in_binary64_12645` `associate-l/_binary64_12638` `sub-neg_binary64_12688` `associate-r/_binary64_12637` `distribute-lft-in_binary64_12644`
4×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`

Counts

4 → 120

Calls

4 calls:

21.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
15.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series1.2s (2.1%)

Counts

4 → 12

Calls

4 calls:

306.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
302.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
280.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
276.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5050	4418

prune557.0ms (1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	129	28	157

Merged error: 14.3b

Counts

157 → 28

Compiler

Compiled 19806 to 2787 computations (85.9% saved)

localize107.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.5b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.0b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite82.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12699` `flip--_binary64_12670`
20×	`add-sqr-sqrt_binary64_12717`
16×	`frac-times_binary64_12705`
12×	`-un-lft-identity_binary64_12695` `associate-l_binary64_12636` `add-cube-cbrt_binary64_12730` `add-exp-log_binary64_12733` `associate-r*_binary64_12635` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
8×	`cancel-sign-sub-inv_binary64_12661` `distribute-rgt-in_binary64_12645` `associate-l/_binary64_12638` `sub-neg_binary64_12688` `associate-r/_binary64_12637` `distribute-lft-in_binary64_12644`
4×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series1.5s (2.6%)

Counts

4 → 12

Calls

4 calls:

648.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
306.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
267.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
256.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5049	4424

prune567.0ms (1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	27	27
Picked	0	1	1
Done	0	0	0
Total	132	28	160

Merged error: 14.3b

Counts

160 → 28

Compiler

Compiled 21792 to 2816 computations (87.1% saved)

localize99.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.0b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite106.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12699` `flip--_binary64_12670`
20×	`add-sqr-sqrt_binary64_12717`
16×	`frac-times_binary64_12705`
12×	`-un-lft-identity_binary64_12695` `associate-l_binary64_12636` `add-cube-cbrt_binary64_12730` `add-exp-log_binary64_12733` `associate-r*_binary64_12635` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
8×	`cancel-sign-sub-inv_binary64_12661` `distribute-rgt-in_binary64_12645` `associate-l/_binary64_12638` `sub-neg_binary64_12688` `associate-r/_binary64_12637` `distribute-lft-in_binary64_12644`
4×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`

Counts

4 → 120

Calls

4 calls:

24.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
18.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
13.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

series1.2s (2.2%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
312.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
300.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
266.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

simplify112.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5222	4394

prune385.0ms (0.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	26	26
Picked	1	0	1
Done	0	1	1
Total	132	28	160

Merged error: 14.3b

Counts

160 → 28

Compiler

Compiled 18880 to 1006 computations (94.7% saved)

regimes6.4s (11.4%)

Compiler: Compiled 127161 to 76050 computations (40.2% saved)

bsearch814.0ms (1.4%)

Steps

Iters	Range		Point
9	-8.128977940160976e-256	-1.1620073338008027e-260	-4.840571052019729e-260
7	-4.139130746733035e-75	-2.1137372525965067e-77	-7.228427319823587e-77

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	2108	462
1	2108	462

end0.0ms (0%)

sample29.8s (52.8%)

Algorithm

1×

intervals

Results

16.7s	63306×	body	128	invalid
2.1s	8000×	body	128	valid

Compiler

Compiled 8578 to 4799 computations (44.1% saved)

Details

analyze9.9s (17.5%)

sample995.0ms (1.8%)

simplify179.0ms (0.3%)

prune12.0ms (0%)

localize91.0ms (0.2%)

rewrite87.0ms (0.2%)

series1.1s (2%)

simplify95.0ms (0.2%)

prune620.0ms (1.1%)

localize94.0ms (0.2%)

rewrite109.0ms (0.2%)

series1.2s (2.1%)

simplify78.0ms (0.1%)

prune557.0ms (1%)

localize107.0ms (0.2%)

rewrite82.0ms (0.1%)

series1.5s (2.6%)

simplify81.0ms (0.1%)

prune567.0ms (1%)

localize99.0ms (0.2%)

rewrite106.0ms (0.2%)

series1.2s (2.2%)

simplify112.0ms (0.2%)

prune385.0ms (0.7%)

regimes6.4s (11.4%)

bsearch814.0ms (1.4%)

simplify92.0ms (0.2%)

end0.0ms (0%)

sample29.8s (52.8%)

Profiling