Details

analyze901.0ms

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%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample113.0ms

Algorithm

intervals

Results

29.0ms	336×	body	80	nan
18.0ms	228×	body	80	valid
14.0ms	179×	body	80	invalid
4.0ms	4×	body	1280	valid
3.0ms	4×	body	1280	invalid
3.0ms	7×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	6×	body	320	invalid
1.0ms	6×	body	160	valid
1.0ms	4×	body	160	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5017	17

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 3.3b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
1.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.8b	(log.f64 (-.f64 1 z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
40×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
36×	`associate--l+_binary64`
22×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
14×	`associate-+r+_binary64`
12×	`associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `associate-+l+_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`frac-add_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

10.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.0ms	(log.f64 (-.f64 1 z))

series66.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
35.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.0ms	(log.f64 (-.f64 1 z))

simplify62.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	1727
1	4966	1727

prune95.0ms

Filtered

97 candidates to 134 candidates (-38.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Merged error: 0.3b

Counts

136 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.0b	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) (+.f64 z b)))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
1.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (neg.f64 (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) (+.f64 z b)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
15×	`log-prod_binary64` `associate--l+_binary64`
13×	`add-cube-cbrt_binary64`
12×	`associate-*r/_binary64`
10×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`add-log-exp_binary64` `associate-r_binary64`
8×	`associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`flip3-+_binary64` `flip3--_binary64` `frac-add_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `distribute-neg-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-+r+_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`associate-+r-_binary64` `diff-log_binary64` `neg-sub0_binary64` `neg-log_binary64` `+-commutative_binary64` `unsub-neg_binary64`

Counts

4 → 98

Calls

4 calls:

5.0ms	(-.f64 (log.f64 z) t)
12.0ms	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) (+.f64 z b)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
12.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (neg.f64 (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) (+.f64 z b)))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (log.f64 z) t)
14.0ms	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) (+.f64 z b)))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
44.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (neg.f64 (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) (+.f64 z b)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4956	1514
1	4956	1514

prune63.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Merged error: 0.3b

Counts

112 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 y (log.f64 z))))
0.3b	(*.f64 y (log.f64 z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`log-prod_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`exp-sum_binary64`
7×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`add-cbrt-cube_binary64` `associate-l_binary64`
5×	`add-exp-log_binary64`
4×	`unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`log-pow_binary64`

Counts

2 → 51

Calls

2 calls:

7.0ms	(.f64 x (exp.f64 (.f64 y (log.f64 z))))
5.0ms	(*.f64 y (log.f64 z))

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(.f64 x (exp.f64 (.f64 y (log.f64 z))))
7.0ms	(*.f64 y (log.f64 z))

simplify32.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5039	362

prune21.0ms

Filtered

38 candidates to 57 candidates (-50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	57	2	59

Merged error: 0.3b

Counts

59 → 2

regimes287.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	108	21
1	108	21

end0.0ms

sample3.3s

Algorithm

intervals

Results

838.0ms	10610×	body	80	nan
769.0ms	7229×	body	80	valid
436.0ms	5363×	body	80	invalid
110.0ms	262×	body	640	valid
77.0ms	278×	body	320	valid
44.0ms	55×	body	1280	valid
43.0ms	105×	body	640	invalid
40.0ms	155×	body	320	invalid
30.0ms	176×	body	160	valid
14.0ms	87×	body	160	invalid
14.0ms	18×	body	1280	invalid

Details

analyze901.0ms

sample113.0ms

simplify59.0ms

prune12.0ms

localize15.0ms

rewrite42.0ms

series66.0ms

simplify62.0ms

prune95.0ms

localize18.0ms

rewrite40.0ms

series78.0ms

simplify38.0ms

prune63.0ms

localize8.0ms

rewrite13.0ms

series20.0ms

simplify32.0ms

prune21.0ms

regimes287.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling