Details

analyze1.1s

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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample86.0ms

Algorithm

intervals

Results

25.0ms	41×	body	1280	valid
17.0ms	52×	body	640	valid
8.0ms	112×	body	80	valid
7.0ms	33×	body	320	valid
4.0ms	3×	body	2560	valid
2.0ms	15×	body	160	valid
2.0ms	45×	body	80	nan
2.0ms	10×	body	320	nan
2.0ms	30×	body	80	overflowed
1.0ms	4×	body	640	nan
1.0ms	2×	body	1280	nan
0.0ms	4×	body	160	nan

simplify266.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

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: 24.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
1.3b	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
2.3b	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`log-pow_binary64`
4×	`associate-/l*_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-r_binary64` `log-prod_binary64` `associate-l*_binary64` `flip-+_binary64`
2×	`div-sub_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (exp.f64 z))
49.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
17.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5127	1261

prune125.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 6.1b

Counts

92 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 z (+.f64 (.f64 0.5 z) 1.0))
3.5b	(.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))
7.1b	(/.f64 (+.f64 (log.f64 1.0) (.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
6×	`associate-r/_binary64` `associate-l*_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 75

Calls

3 calls:

7.0ms	(.f64 z (+.f64 (.f64 0.5 z) 1.0))
9.0ms	(.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))
6.0ms	(/.f64 (+.f64 (log.f64 1.0) (.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

series77.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(.f64 z (+.f64 (.f64 0.5 z) 1.0))
19.0ms	(.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))
44.0ms	(/.f64 (+.f64 (log.f64 1.0) (.f64 y (.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4946	1137
1	4946	1137

prune140.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	79	11	90

Merged error: 6.1b

Counts

90 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.1b	(.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y))
2.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))
7.1b	(/.f64 (+.f64 (log.f64 1.0) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
30×	`pow1_binary64`
20×	`add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt.f64 y)
8.0ms	(.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y))
14.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))
9.0ms	(/.f64 (+.f64 (log.f64 1.0) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))) t)

series97.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 y)
29.0ms	(.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y))
16.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))
33.0ms	(/.f64 (+.f64 (log.f64 1.0) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (+.f64 1.0 (*.f64 z 0.5))) (cbrt.f64 y)))) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4935	1345
1	4935	1345

prune142.0ms

Filtered

69 candidates to 105 candidates (-52.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	104	12	116

Merged error: 6.1b

Counts

116 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.1b	(.f64 (log.f64 (+.f64 (-.f64 1.0 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
1.3b	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
2.3b	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
16×	`-un-lft-identity_binary64` `associate-r*_binary64`
15×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
11×	`add-cbrt-cube_binary64` `times-frac_binary64`
10×	`pow1_binary64`
9×	`add-log-exp_binary64`
7×	`associate-l_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`cbrt-unprod_binary64` `log-prod_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `log-pow_binary64` `div-exp_binary64` `log-div_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `+-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
8.0ms	(.f64 (log.f64 (+.f64 (-.f64 1.0 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (exp.f64 z))
50.0ms	(.f64 (log.f64 (+.f64 (-.f64 1.0 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
16.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4961	1177
1	4961	1177

prune84.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	93	14	107

Merged error: 6.1b

Counts

107 → 14

regimes926.0ms

Accuracy

73.3% (4.3b remaining)

Error of 8.8b against oracle of 4.5b and baseline of 20.5b

bsearch1.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	214	36
1	214	36

end0.0ms

sample2.6s

Algorithm

intervals

Results

844.0ms	1428×	body	1280	valid
542.0ms	1600×	body	640	valid
255.0ms	3489×	body	80	valid
202.0ms	939×	body	320	valid
93.0ms	68×	body	2560	valid
77.0ms	1542×	body	80	nan
65.0ms	261×	body	640	nan
64.0ms	476×	body	160	valid
51.0ms	840×	body	80	overflowed
37.0ms	105×	body	1280	nan
33.0ms	199×	body	320	nan
11.0ms	102×	body	160	nan
1.0ms	18×	body	80	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	320	invalid

Details

analyze1.1s

sample86.0ms

simplify266.0ms

prune4.0ms

localize13.0ms

rewrite28.0ms

series78.0ms

simplify59.0ms

prune125.0ms

localize12.0ms

rewrite24.0ms

series77.0ms

simplify83.0ms

prune140.0ms

localize14.0ms

rewrite35.0ms

series97.0ms

simplify84.0ms

prune142.0ms

localize11.0ms

rewrite29.0ms

series80.0ms

simplify76.0ms

prune84.0ms

regimes926.0ms

bsearch1.0ms

simplify5.0ms

end0.0ms

sample2.6s

Profiling