Details

analyze900.0ms

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

sample38.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
2.0ms	41×	body	80	invalid
2.0ms	42×	body	80	nan

simplify259.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	3700	16
1	3700	16

prune4.0ms

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 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) 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:

7.0ms	(*.f64 (-.f64 a 1/2) b)
13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series65.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 a 1/2) b)
42.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
12.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 z (log.f64 t))

simplify30.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5322	1291

prune73.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
0.2b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.2b	(*.f64 z (log.f64 (sqrt.f64 t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod_binary64`
28×	`add-sqr-sqrt_binary64`
27×	`add-log-exp_binary64`
24×	`*-un-lft-identity_binary64` `associate--r+_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64`
12×	`pow1_binary64` `associate-r_binary64`
10×	`diff-log_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`log-pow_binary64` `associate-l_binary64` `sum-log_binary64`
4×	`associate--l+_binary64`
3×	`sub-neg_binary64`
2×	`pow-prod-down_binary64` `pow1/2_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64`

Counts

4 → 121

Calls

4 calls:

10.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
13.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
20.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
10.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
11.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4945	1500
1	4945	1500

prune77.0ms

Filtered

86 candidates to 133 candidates (-54.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	132	6	138

Merged error: 0b

Counts

138 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 x (-.f64 y (.f64 z (log.f64 t))))) (.f64 (-.f64 a 1/2) b))
0.0b	(-.f64 y (*.f64 z (log.f64 t)))
0.1b	(+.f64 z (+.f64 x (-.f64 y (*.f64 z (log.f64 t)))))
0.2b	(*.f64 z (log.f64 t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-log-exp_binary64`
15×	`*-un-lft-identity_binary64`
14×	`sum-log_binary64`
12×	`log-prod_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`flip3-+_binary64` `associate-+r-_binary64` `associate-r_binary64` `frac-add_binary64` `flip-+_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip--_binary64`
2×	`+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

12.0ms	(+.f64 (+.f64 z (+.f64 x (-.f64 y (.f64 z (log.f64 t))))) (.f64 (-.f64 a 1/2) b))
4.0ms	(-.f64 y (*.f64 z (log.f64 t)))
7.0ms	(+.f64 z (+.f64 x (-.f64 y (*.f64 z (log.f64 t)))))
5.0ms	(*.f64 z (log.f64 t))

series71.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (+.f64 z (+.f64 x (-.f64 y (.f64 z (log.f64 t))))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 y (*.f64 z (log.f64 t)))
12.0ms	(+.f64 z (+.f64 x (-.f64 y (*.f64 z (log.f64 t)))))
7.0ms	(*.f64 z (log.f64 t))

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5093	1224

prune62.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize18.0ms

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))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite22.0ms

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)))
9.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series74.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
21.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
16.0ms	(cbrt.f64 t)
16.0ms	(cbrt.f64 t)

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5306	858

prune51.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0b

Counts

114 → 6

regimes785.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	16
1	54	16

end0.0ms

sample953.0ms

Algorithm

intervals

Results

473.0ms	7997×	body	80	valid
68.0ms	1204×	body	80	invalid
58.0ms	1159×	body	80	nan
1.0ms	3×	body	1280	valid

Details

analyze900.0ms

sample38.0ms

simplify259.0ms

prune4.0ms

localize12.0ms

rewrite37.0ms

series65.0ms

simplify30.0ms

prune73.0ms

localize15.0ms

rewrite40.0ms

series55.0ms

simplify58.0ms

prune77.0ms

localize12.0ms

rewrite31.0ms

series71.0ms

simplify45.0ms

prune62.0ms

localize18.0ms

rewrite22.0ms

series74.0ms

simplify45.0ms

prune51.0ms

regimes785.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample953.0ms

Profiling