Details

analyze887.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample37.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
2.0ms	34×	body	80	invalid
2.0ms	39×	body	80	nan

simplify259.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune5.0ms

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

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
0.0b	(*.f64 (-.f64 a 0.5) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`associate--r+_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-*l/_binary64`
4×	`frac-add_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 88

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
7.0ms	(*.f64 (-.f64 a 0.5) b)
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series69.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
5.0ms	(*.f64 (-.f64 a 0.5) b)
15.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
8.0ms	(*.f64 z (log.f64 t))

simplify31.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5444	1311

prune124.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series80.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
23.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
17.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5306	858

prune104.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 (log.f64 t) 2/3))
0.4b	(*.f64 (log.f64 t) 2/3)
0.5b	(cbrt.f64 t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cbrt-prod_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`log-pow_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64`

Counts

4 → 80

Calls

4 calls:

5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
5.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
5.0ms	(*.f64 (log.f64 t) 2/3)
1.0ms	(cbrt.f64 t)

series61.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
8.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
10.0ms	(*.f64 (log.f64 t) 2/3)
17.0ms	(cbrt.f64 t)

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5067	580

prune93.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
19.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
17.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
18.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5302	982

prune100.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	24
1	96	24

end0.0ms

sample936.0ms

Algorithm

intervals

Results

471.0ms	8000×	body	80	valid
67.0ms	1199×	body	80	invalid
60.0ms	1195×	body	80	nan

Details

analyze887.0ms

sample37.0ms

simplify259.0ms

prune5.0ms

localize12.0ms

rewrite37.0ms

series69.0ms

simplify31.0ms

prune124.0ms

localize17.0ms

rewrite19.0ms

series80.0ms

simplify42.0ms

prune104.0ms

localize21.0ms

rewrite19.0ms

series61.0ms

simplify55.0ms

prune93.0ms

localize17.0ms

rewrite26.0ms

series80.0ms

simplify62.0ms

prune100.0ms

regimes1.0s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample936.0ms

Profiling