Details

analyze533.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample49.0ms

Algorithm

intervals

Results

12.0ms	183×	body	80	valid
10.0ms	28×	body	640	valid
9.0ms	13×	body	1280	valid
5.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	4×	body	80	nan

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	656	13
1	656	13

prune3.0ms

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: 8.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
6.0b	(log.f64 (-.f64 1 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
9.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 x (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4924	979
1	4924	979

prune87.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `associate--l+_binary64` `-commutative_binary64`
2×	`sub-neg_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y -1/3)

series42.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
8.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
9.0ms	(*.f64 x (log.f64 y))
2.0ms	(*.f64 y -1/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4948	961
1	4948	961

prune70.0ms

Filtered

63 candidates to 104 candidates (-65.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y)) (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
0.6b	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
0.6b	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
0.6b	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y)) (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
10.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
10.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
10.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y)) (cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
12.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
15.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))
12.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5451	2250

prune225.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
6.8b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
10.0b	(log.f64 (-.f64 1 (sqrt.f64 y)))
10.1b	(log.f64 (+.f64 1 (sqrt.f64 y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod_binary64`
32×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64`
12×	`add-cube-cbrt_binary64`
9×	`associate-+r+_binary64`
8×	`distribute-lft-out_binary64` `add-exp-log_binary64` `difference-of-squares_binary64` `log-div_binary64` `sqrt-prod_binary64`
7×	`log-pow_binary64`
6×	`add-cbrt-cube_binary64`
5×	`associate-+l+_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
2×	`associate-+r-_binary64` `flip3--_binary64` `rem-log-exp_binary64` `associate-+l-_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
12.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
23.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
10.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
9.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4971	1297
1	4971	1297

prune66.0ms

Filtered

72 candidates to 106 candidates (-47.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

regimes214.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	20
1	40	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

362.0ms	5502×	body	80	valid
303.0ms	882×	body	640	valid
276.0ms	415×	body	1280	valid
171.0ms	762×	body	320	valid
59.0ms	439×	body	160	valid
16.0ms	246×	body	80	nan
1.0ms	23×	body	80	invalid

Details

analyze533.0ms

sample49.0ms

simplify28.0ms

prune3.0ms

localize11.0ms

rewrite30.0ms

series39.0ms

simplify55.0ms

prune87.0ms

localize14.0ms

rewrite35.0ms

series42.0ms

simplify45.0ms

prune70.0ms

localize18.0ms

rewrite58.0ms

series55.0ms

simplify64.0ms

prune225.0ms

localize25.0ms

rewrite30.0ms

series50.0ms

simplify50.0ms

prune66.0ms

regimes214.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling