Details

analyze467.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

sample33.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
2.0ms	30×	body	80	invalid
2.0ms	28×	body	80	nan

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4926	24
1	4926	24

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.6b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
4.1b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
12×	`log-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `times-frac_binary64`
8×	`associate-l_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 95

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
15.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

series77.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z)
18.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
24.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
25.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5743	1363

prune214.0ms

Filtered

83 candidates to 107 candidates (-28.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	93	14	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	14	108

Merged error: 2.8b

Counts

108 → 14

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.1b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

series73.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
25.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4921	761
1	4921	761

prune152.0ms

Filtered

64 candidates to 74 candidates (-15.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	74	14	88

Merged error: 2.8b

Counts

88 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1/2) (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.1b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow1_binary64` `flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 79

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1/2) (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

series145.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+.f64 (.f64 (-.f64 x 1/2) (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (-.f64 x 1/2) (log.f64 (cbrt.f64 x))))
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
27.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5171	1260

prune191.0ms

Filtered

82 candidates to 91 candidates (-11.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	92	13	105

Merged error: 2.8b

Counts

105 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (-.f64 x 1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x)
0.3b	(*.f64 3 (log.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
4.1b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
24×	`associate--l+_binary64`
21×	`cbrt-prod_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1/3_binary64` `log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

15.0ms	(-.f64 (.f64 (-.f64 x 1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x)
5.0ms	(*.f64 3 (log.f64 (cbrt.f64 x)))
2.0ms	(cbrt.f64 x)
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

series165.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(-.f64 (.f64 (-.f64 x 1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x)
33.0ms	(*.f64 3 (log.f64 (cbrt.f64 x)))
15.0ms	(cbrt.f64 x)
24.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4896	1296
1	4896	1296

prune161.0ms

Filtered

95 candidates to 119 candidates (-25.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	119	13	132

Merged error: 2.8b

Counts

132 → 13

regimes657.0ms

Accuracy

83.4% (0.3b remaining)

Error of 4.4b against oracle of 4.0b and baseline of 6.1b

bsearch17.0ms

Steps

Iters	Range		Point
5	2.3421314416845812e+47	7.330979142042827e+47	2.6860466301232325e+47

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	106	66
1	106	66

end0.0ms

sample922.0ms

Algorithm

intervals

Results

573.0ms	8000×	body	80	valid
82.0ms	1181×	body	80	invalid
44.0ms	704×	body	80	nan

Details

analyze467.0ms

sample33.0ms

simplify92.0ms

prune7.0ms

localize18.0ms

rewrite44.0ms

series77.0ms

simplify63.0ms

prune214.0ms

localize28.0ms

rewrite18.0ms

series73.0ms

simplify59.0ms

prune152.0ms

localize23.0ms

rewrite33.0ms

series145.0ms

simplify37.0ms

prune191.0ms

localize20.0ms

rewrite39.0ms

series165.0ms

simplify65.0ms

prune161.0ms

regimes657.0ms

bsearch17.0ms

simplify3.0ms

end0.0ms

sample922.0ms

Profiling