Details

analyze971.0ms

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

34.0ms	407×	body	80	nan
19.0ms	233×	body	80	valid
16.0ms	207×	body	80	invalid
5.0ms	11×	body	640	valid
1.0ms	7×	body	160	valid
1.0ms	4×	body	320	valid
1.0ms	2×	body	640	invalid
1.0ms	1×	body	1280	valid
0.0ms	3×	body	160	invalid
0.0ms	1×	body	320	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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: 1.2b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.0b	(-.f64 (log.f64 z) t)
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
5.3b	(log.f64 (-.f64 1 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
15×	`log-prod_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64`
9×	`associate--l+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `log-pow_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `rem-log-exp_binary64` `exp-sum_binary64`

Counts

4 → 84

Calls

4 calls:

13.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
5.0ms	(-.f64 (log.f64 z) t)
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series92.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
7.0ms	(-.f64 (log.f64 z) t)
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
3.0ms	(log.f64 (-.f64 1 z))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5320	952

prune62.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	1	98

Merged error: 0.1b

Counts

98 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(*.f64 z 1/3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `associate-l_binary64`
6×	`log-prod_binary64` `associate--l+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64`
3×	`unswap-sqr_binary64` `exp-prod_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `rem-exp-log_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `exp-sum_binary64` `difference-of-squares_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 85

Calls

4 calls:

11.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
14.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 z 1/3)

series100.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
76.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
2.0ms	(*.f64 z 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5053	979

prune65.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.1b

Counts

98 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
0.0b	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(*.f64 z 1/3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
15×	`pow1_binary64`
14×	`add-exp-log_binary64`
13×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
7×	`associate-l_binary64`
6×	`log-prod_binary64` `associate--l+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-unpow_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `pow-pow_binary64` `log-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `difference-of-squares_binary64` `e-exp-1_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
14.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 z 1/3)

series106.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
82.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
14.0ms	(*.f64 y (-.f64 (log.f64 z) t))
2.0ms	(*.f64 z 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5230	1257

prune71.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(*.f64 z 1/3)
0.3b	(*.f64 z 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
18×	`associate-r_binary64`
16×	`add-cube-cbrt_binary64`
14×	`pow1_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate--l+_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `log-pow_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

4 → 98

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 z 1/3)
4.0ms	(*.f64 z 1/3)

series48.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	(*.f64 y (-.f64 (log.f64 z) t))
2.0ms	(*.f64 z 1/3)
2.0ms	(*.f64 z 1/3)

simplify78.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4944	718
1	4944	718

prune89.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

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: 0.0b

Counts

112 → 2

regimes290.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	53
1	104	53

end0.0ms

sample3.1s

Algorithm

intervals

Results

842.0ms	10660×	body	80	nan
579.0ms	7219×	body	80	valid
428.0ms	5345×	body	80	invalid
106.0ms	251×	body	640	valid
80.0ms	297×	body	320	valid
53.0ms	65×	body	1280	valid
48.0ms	116×	body	640	invalid
33.0ms	126×	body	320	invalid
28.0ms	168×	body	160	valid
13.0ms	17×	body	1280	invalid
12.0ms	75×	body	160	invalid

Details

analyze971.0ms

sample113.0ms

simplify57.0ms

prune12.0ms

localize14.0ms

rewrite32.0ms

series92.0ms

simplify42.0ms

prune62.0ms

localize19.0ms

rewrite40.0ms

series100.0ms

simplify44.0ms

prune65.0ms

localize20.0ms

rewrite39.0ms

series106.0ms

simplify49.0ms

prune71.0ms

localize25.0ms

rewrite27.0ms

series48.0ms

simplify78.0ms

prune89.0ms

regimes290.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.1s

Profiling