Details

analyze408.0ms

Algorithm

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%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample51.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
8.0ms	123×	body	80	nan
0.0ms	1×	body	80	invalid

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5147	25

prune9.0ms

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: 0.3b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_3784`
19×	`log-prod_binary64_3702`
18×	`add-sqr-sqrt_binary64_3769`
15×	`pow1_binary64_3730`
14×	`add-log-exp_binary64_3749`
12×	`add-cube-cbrt_binary64_3755`
9×	`distribute-lft-out_binary64_3828` `associate-+r+_binary64_3835` `log-pow_binary64_3705`
6×	`add-exp-log_binary64_3748` `associate-*l/_binary64_3846` `distribute-lft-out--_binary64_3829` `flip3--_binary64_3783` `distribute-lft-in_binary64_3826` `flip--_binary64_3810` `add-cbrt-cube_binary64_3756` `associate-+l+_binary64_3836` `sum-log_binary64_3699` `distribute-rgt-in_binary64_3827`
5×	`associate-l_binary64_3844` `associate-+l-_binary64_3838`
4×	`log-div_binary64_3703` `flip-+_binary64_3809` `flip3-+_binary64_3782` `frac-add_binary64_3774` `diff-log_binary64_3700` `associate-r_binary64_3843`
2×	`+-commutative_binary64_3851` `associate--l-_binary64_3841` `difference-of-squares_binary64_3813` `associate--l+_binary64_3840` `sub-neg_binary64_3788`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `unswap-sqr_binary64_3812`

Counts

4 → 100

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
13.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series400.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
186.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
42.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
56.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify82.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5024	2498

prune510.0ms

Filtered

89 candidates to 112 candidates (-25.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3751`
35×	`*-un-lft-identity_binary64_3784`
23×	`add-sqr-sqrt_binary64_3769`
18×	`cbrt-div_binary64_3752`
15×	`add-cube-cbrt_binary64_3755`
11×	`pow1_binary64_3730`
9×	`pow1/3_binary64_3722` `distribute-lft-out_binary64_3828` `flip-+_binary64_3809` `flip3-+_binary64_3782` `swap-sqr_binary64_3811`
7×	`associate-l_binary64_3844` `associate-r_binary64_3843`
6×	`add-exp-log_binary64_3748`
4×	`add-log-exp_binary64_3749` `frac-times_binary64_3776` `unswap-sqr_binary64_3812` `add-cbrt-cube_binary64_3756`
2×	`associate-l/_binary64_3846` `pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `associate-r/_binary64_3845` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `pow2_binary64_3721`

Counts

4 → 95

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series513.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
117.0ms	(cbrt.f64 (+.f64 x y))
117.0ms	(cbrt.f64 (+.f64 x y))
121.0ms	(cbrt.f64 (+.f64 x y))

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5309	1615

prune439.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
0.3b	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3784`
20×	`frac-add_binary64_3774`
17×	`add-log-exp_binary64_3749`
12×	`associate-*r/_binary64_3845`
11×	`sum-log_binary64_3699`
10×	`flip3--_binary64_3783` `flip--_binary64_3810` `flip-+_binary64_3809` `flip3-+_binary64_3782`
9×	`pow1_binary64_3730`
8×	`associate-*l/_binary64_3846` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
7×	`associate-+l-_binary64_3838` `distribute-lft-out_binary64_3828` `log-prod_binary64_3702`
6×	`associate-+r+_binary64_3835` `cbrt-prod_binary64_3751`
5×	`log-pow_binary64_3705` `associate-+l+_binary64_3836` `associate-+r-_binary64_3837`
4×	`add-exp-log_binary64_3748` `distribute-lft-out--_binary64_3829` `log-div_binary64_3703` `add-cbrt-cube_binary64_3756`
3×	`associate--l+_binary64_3840` `sub-neg_binary64_3788`
2×	`+-commutative_binary64_3851` `pow1/3_binary64_3722` `diff-log_binary64_3700`
1×	`distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`

Counts

4 → 83

Calls

4 calls:

39.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
18.0ms	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
3.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series480.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
117.0ms	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
86.0ms	(cbrt.f64 t)
87.0ms	(cbrt.f64 t)

simplify78.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	4048

prune487.0ms

Filtered

81 candidates to 95 candidates (-17.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	94	8	102

Merged error: 0.0b

Counts

102 → 8

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (pow.f64 t 1/3)) (-.f64 a 1/2)))
0.3b	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
0.6b	(cbrt.f64 t)
5.1b	(pow.f64 t 1/3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_3784`
20×	`frac-add_binary64_3774`
17×	`add-log-exp_binary64_3749`
12×	`associate-*r/_binary64_3845`
11×	`sum-log_binary64_3699`
10×	`pow1_binary64_3730` `flip3--_binary64_3783` `flip--_binary64_3810` `flip-+_binary64_3809` `flip3-+_binary64_3782`
9×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
8×	`associate-*l/_binary64_3846`
7×	`associate-+l-_binary64_3838` `distribute-lft-out_binary64_3828` `log-prod_binary64_3702`
6×	`associate-+r+_binary64_3835`
5×	`add-exp-log_binary64_3748` `log-pow_binary64_3705` `associate-+l+_binary64_3836` `associate-+r-_binary64_3837`
4×	`distribute-lft-out--_binary64_3829` `log-div_binary64_3703` `add-cbrt-cube_binary64_3756`
3×	`pow-unpow_binary64_3717` `associate--l+_binary64_3840` `cbrt-prod_binary64_3751` `unpow-prod-down_binary64_3719` `sub-neg_binary64_3788`
2×	`+-commutative_binary64_3851` `diff-log_binary64_3700`
1×	`sqr-pow_binary64_3816` `pow-to-exp_binary64_3709` `pow1/3_binary64_3722` `distribute-lft-in_binary64_3826` `unpow1/3_binary64_3729` `pow-pow_binary64_3712` `pow-exp_binary64_3708` `distribute-rgt-in_binary64_3827`

Counts

4 → 90

Calls

4 calls:

25.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (pow.f64 t 1/3)) (-.f64 a 1/2)))
10.0ms	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
1.0ms	(cbrt.f64 t)
2.0ms	(pow.f64 t 1/3)

series513.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 (log.f64 (cbrt.f64 t)) 2)) (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 (pow.f64 t 1/3)) (-.f64 a 1/2)))
121.0ms	(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t))
86.0ms	(cbrt.f64 t)
81.0ms	(pow.f64 t 1/3)

simplify77.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5011	4108

prune429.0ms

Filtered

83 candidates to 102 candidates (-22.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

regimes1.7s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	45
1	43	45

end0.0ms

sample1.4s

Algorithm

intervals

Results

625.0ms	8000×	body	80	valid
284.0ms	4304×	body	80	nan
2.0ms	33×	body	80	invalid

Details

analyze408.0ms

sample51.0ms

simplify151.0ms

prune9.0ms

localize29.0ms

rewrite39.0ms

series400.0ms

simplify82.0ms

prune510.0ms

localize30.0ms

rewrite28.0ms

series513.0ms

simplify64.0ms

prune439.0ms

localize61.0ms

rewrite67.0ms

series480.0ms

simplify78.0ms

prune487.0ms

localize38.0ms

rewrite43.0ms

series513.0ms

simplify77.0ms

prune429.0ms

regimes1.7s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling