Details

analyze867.0ms (12.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2088	133
1	2088	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	246×	body	128	valid
2.0ms	64×	body	128	invalid
1.0ms	7×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune8.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite63.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_3169`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
3×	`associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `flip3-+_binary64_3150` `associate-*r/_binary64_3089` `flip-+_binary64_3121` `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 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

Compiler

Compiled 816 to 464 computations (43.1% saved)

series606.0ms (8.7%)

Error

0.1b

Counts

2 → 45

Calls

2 calls:

347.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
220.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

Compiler

Compiled 1686 to 1274 computations (24.4% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4978	1258
1	4978	1258

prune80.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Error

0.0b

Counts

81 → 6

Compiler

Compiled 1363 to 788 computations (42.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 x (+.f64 z y)))
0.0b	(+.f64 (.f64 2 (.f64 x (+.f64 z y))) (*.f64 t x))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 x (+.f64 z y))) (.f64 t x)) (.f64 y 5))
0.0b	(*.f64 x (+.f64 z y))

rewrite110.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
9×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
7×	`add-cube-cbrt_binary64_3182`
6×	`associate-r/_binary64_3089` `associate-l*_binary64_3088`
5×	`associate-r_binary64_3087` `associate-+l+_binary64_3080`
4×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `flip3-+_binary64_3150` `flip-+_binary64_3121` `sum-log_binary64_3238`
2×	`*-commutative_binary64_3078` `+-commutative_binary64_3077`
1×	`unswap-sqr_binary64_3115` `distribute-lft-out_binary64_3098`

Counts

4 → 75

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (.f64 2 (.f64 x (+.f64 z y))) (.f64 t x)) (.f64 y 5))
9.0ms	(+.f64 (.f64 2 (.f64 x (+.f64 z y))) (*.f64 t x))
7.0ms	(.f64 2 (.f64 x (+.f64 z y)))
6.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 1753 to 779 computations (55.6% saved)

series866.0ms (12.5%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

336.0ms	(+.f64 (+.f64 (.f64 2 (.f64 x (+.f64 z y))) (.f64 t x)) (.f64 y 5))
274.0ms	(+.f64 (.f64 2 (.f64 x (+.f64 z y))) (*.f64 t x))
120.0ms	(.f64 2 (.f64 x (+.f64 z y)))
87.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 2934 to 2143 computations (27% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4836	1918
1	4836	1918

prune123.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Error

0.0b

Counts

156 → 7

Compiler

Compiled 2594 to 1335 computations (48.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))) (.f64 t x)) (*.f64 y 5))
0.0b	(*.f64 x (+.f64 z y))
0.5b	(.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))
0.5b	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 z y)) (sqrt.f64 2)))

rewrite154.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
11×	`associate-r_binary64_3087`
10×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `add-cube-cbrt_binary64_3182` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
9×	`add-log-exp_binary64_3186`
8×	`associate-*r/_binary64_3089`
6×	`sqrt-prod_binary64_3163`
4×	`flip3-+_binary64_3150` `associate-*l/_binary64_3090` `flip-+_binary64_3121`
3×	`*-commutative_binary64_3078` `sum-log_binary64_3238`
1×	`unswap-sqr_binary64_3115` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `distribute-lft-out_binary64_3098` `associate-+l+_binary64_3080` `+-commutative_binary64_3077`

Counts

4 → 85

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))) (.f64 t x)) (*.f64 y 5))
12.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 z y)) (sqrt.f64 2)))
9.0ms	(.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))
6.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 2361 to 1309 computations (44.6% saved)

series1.2s (17.6%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

649.0ms	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))) (.f64 t x)) (*.f64 y 5))
247.0ms	(.f64 (sqrt.f64 2) (.f64 (*.f64 x (+.f64 z y)) (sqrt.f64 2)))
178.0ms	(.f64 (.f64 x (+.f64 z y)) (sqrt.f64 2))
85.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 3544 to 2849 computations (19.6% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5542	1943

prune145.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Error

0.0b

Counts

161 → 7

Compiler

Compiled 3072 to 1737 computations (43.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1816 to 747 computations (58.9% saved)

series336.0ms (4.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 807 to 613 computations (24% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune81.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1913 to 898 computations (53.1% saved)

regimes366.0ms (5.3%)

Accuracy

Total 0.1b remaining (75.9%)

Threshold costs 0.1b (75.9%)

Compiler

Compiled 4303 to 3511 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.5s (21.2%)

Algorithm

1×

intervals

Results

294.0ms	7727×	body	128	valid
71.0ms	1894×	body	128	invalid
23.0ms	118×	body	1024	valid
9.0ms	89×	body	512	valid
5.0ms	66×	body	256	valid

Compiler

Compiled 884 to 721 computations (18.4% saved)

Details

analyze867.0ms (12.5%)

sample26.0ms (0.4%)

simplify15.0ms (0.2%)

prune8.0ms (0.1%)

localize9.0ms (0.1%)

rewrite63.0ms (0.9%)

series606.0ms (8.7%)

simplify53.0ms (0.8%)

prune80.0ms (1.2%)

localize10.0ms (0.1%)

rewrite110.0ms (1.6%)

series866.0ms (12.5%)

simplify78.0ms (1.1%)

prune123.0ms (1.8%)

localize12.0ms (0.2%)

rewrite154.0ms (2.2%)

series1.2s (17.6%)

simplify76.0ms (1.1%)

prune145.0ms (2.1%)

localize15.0ms (0.2%)

rewrite82.0ms (1.2%)

series336.0ms (4.8%)

simplify75.0ms (1.1%)

prune81.0ms (1.2%)

regimes366.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (21.2%)

Profiling