Details

analyze111.0ms (2.2%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify172.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.4b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_22947` `pow1_binary64_22986` `add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
7×	`*-un-lft-identity_binary64_22925`
6×	`associate-l/_binary64_22868` `associate-r_binary64_22865` `associate-l*_binary64_22866`
5×	`add-cube-cbrt_binary64_22960`
4×	`prod-exp_binary64_22974` `pow-prod-down_binary64_22996` `cbrt-unprod_binary64_22958`
2×	`flip--_binary64_22900` `*-commutative_binary64_22856` `add-log-exp_binary64_22964` `flip3--_binary64_22929`
1×	`distribute-lft-out--_binary64_22877` `difference-of-squares_binary64_22894` `unswap-sqr_binary64_22893`

Counts

2 → 42

Calls

2 calls:

20.0ms	(*.f64 (-.f64 x 4/29) 3)
16.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

series93.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
41.0ms	(*.f64 (-.f64 x 4/29) 3)

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4947	499
1	4947	499

prune88.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

Compiler

Compiled 627 to 486 computations (22.5% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_22986` `add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
5×	`associate-l_binary64_22866`
4×	`add-sqr-sqrt_binary64_22947` `*-un-lft-identity_binary64_22925`
3×	`prod-exp_binary64_22974` `pow-prod-down_binary64_22996` `cbrt-unprod_binary64_22958`
2×	`associate-*l/_binary64_22868` `add-cube-cbrt_binary64_22960`
1×	`flip--_binary64_22900` `distribute-lft-out--_binary64_22877` `associate-r_binary64_22865` `*-commutative_binary64_22856` `difference-of-squares_binary64_22894` `add-log-exp_binary64_22964` `flip3--_binary64_22929`

Counts

1 → 22

Calls

1 calls:

15.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

series50.0ms (1%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4936	290
1	4936	290

prune52.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	24	8	32

Merged error: 0.0b

Counts

32 → 8

Compiler

Compiled 383 to 303 computations (20.9% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) y)))
0.6b	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
0.6b	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
0.6b	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-*l/_binary64_22868`
18×	`cbrt-div_binary64_22957`
11×	`pow1_binary64_22986`
10×	`add-sqr-sqrt_binary64_22947`
9×	`flip--_binary64_22900` `pow1/3_binary64_23007` `flip3--_binary64_22929`
8×	`add-cube-cbrt_binary64_22960` `*-un-lft-identity_binary64_22925`
7×	`cbrt-prod_binary64_22956`
6×	`add-exp-log_binary64_22963`
4×	`associate-r_binary64_22865` `swap-sqr_binary64_22892` `add-log-exp_binary64_22964` `add-cbrt-cube_binary64_22961` `frac-times_binary64_22935` `associate-l_binary64_22866`
2×	`pow-prod-up_binary64_22995` `associate-*r/_binary64_22867` `pow-prod-down_binary64_22996` `pow-sqr_binary64_22898`
1×	`pow2_binary64_23006` `pow-plus_binary64_22988` `prod-exp_binary64_22974` `*-commutative_binary64_22856` `unswap-sqr_binary64_22893` `cbrt-unprod_binary64_22958`

Counts

4 → 72

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) y)))
13.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
12.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
12.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))

series758.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (cbrt.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) y)))
175.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
170.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
162.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))

simplify112.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5272	1888

prune273.0ms (5.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

Compiler

Compiled 2817 to 2208 computations (21.6% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (.f64 (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)) (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
0.6b	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))

rewrite62.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`associate-*l/_binary64_22868`
16×	`cbrt-div_binary64_22957`
12×	`pow1/3_binary64_23007`
9×	`pow1_binary64_22986` `add-exp-log_binary64_22963`
8×	`flip--_binary64_22900` `flip3--_binary64_22929`
7×	`pow-prod-down_binary64_22996` `cbrt-prod_binary64_22956`
6×	`add-sqr-sqrt_binary64_22947` `add-cube-cbrt_binary64_22960` `*-un-lft-identity_binary64_22925`
5×	`add-cbrt-cube_binary64_22961`
4×	`add-log-exp_binary64_22964` `frac-times_binary64_22935` `associate-l_binary64_22866`
3×	`prod-exp_binary64_22974` `cbrt-unprod_binary64_22958`
2×	`associate-*r/_binary64_22867`
1×	`pow-prod-up_binary64_22995` `associate-r_binary64_22865` `*-commutative_binary64_22856` `swap-sqr_binary64_22892` `pow-sqr_binary64_22898`

Counts

4 → 64

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (.f64 (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)) (cbrt.f64 y)))
13.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
12.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
2.0ms	(cbrt.f64 y)

series771.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

285.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y)) (.f64 (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)) (cbrt.f64 y)))
165.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
160.0ms	(cbrt.f64 (.f64 (.f64 (-.f64 x 4/29) 3) y))
160.0ms	(cbrt.f64 y)

simplify139.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4982	1752
1	4982	1752

prune228.0ms (4.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

Compiler

Compiled 2584 to 1958 computations (24.2% saved)

regimes290.0ms (5.8%)

Compiler: Compiled 1336 to 1199 computations (10.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms (0%)

sample1.3s (26.5%)

Algorithm

1×

intervals

Results

443.0ms	8000×	body	128	valid
4.0ms	78×	body	128	invalid

Compiler

Compiled 282 to 255 computations (9.6% saved)

Details

analyze111.0ms (2.2%)

sample27.0ms (0.5%)

simplify172.0ms (3.5%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite41.0ms (0.8%)

series93.0ms (1.9%)

simplify125.0ms (2.5%)

prune88.0ms (1.8%)

localize10.0ms (0.2%)

rewrite18.0ms (0.4%)

series50.0ms (1%)

simplify108.0ms (2.2%)

prune52.0ms (1.1%)

localize18.0ms (0.4%)

rewrite71.0ms (1.4%)

series758.0ms (15.2%)

simplify112.0ms (2.2%)

prune273.0ms (5.5%)

localize26.0ms (0.5%)

rewrite62.0ms (1.2%)

series771.0ms (15.5%)

simplify139.0ms (2.8%)

prune228.0ms (4.6%)

regimes290.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (26.5%)

Profiling