Details

analyze331.0ms

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
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample43.0ms

Algorithm

intervals

Results

15.0ms	203×	body	128	valid
9.0ms	14×	body	1024	valid
5.0ms	21×	body	512	valid
3.0ms	18×	body	256	valid
1.0ms	11×	body	128	nan

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5003	26

prune2.0ms

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: 5.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
5.4b	(log.f64 (-.f64 1 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`associate-l_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `difference-of-squares_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`
6×	`distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 100

Calls

4 calls:

11.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
16.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series347.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
199.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
75.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
24.0ms	(log.f64 (-.f64 1 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5005	2039

prune122.0ms

Filtered

78 candidates to 112 candidates (-43.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 1/3 y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`associate-l_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 104

Calls

4 calls:

11.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series267.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 1/3 y) 1/2))))
94.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
70.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
26.0ms	(*.f64 1/3 y)

simplify87.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4948	2025
1	4948	2025

prune124.0ms

Filtered

79 candidates to 116 candidates (-46.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.4b	(log.f64 (-.f64 1 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
4×	`frac-add_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `difference-of-squares_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

19.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
4.0ms	(log.f64 (-.f64 1 y))

series573.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
148.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 y)
24.0ms	(log.f64 (-.f64 1 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5515	1518

prune147.0ms

Filtered

90 candidates to 103 candidates (-14.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.7b	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
5.4b	(log.f64 (-.f64 1 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`log-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`difference-of-squares_binary64` `log-div_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
5.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
6.0ms	(log.f64 (-.f64 1 y))

series632.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt.f64 y)
217.0ms	(cbrt.f64 (cbrt.f64 y))
238.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
25.0ms	(log.f64 (-.f64 1 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4955	593
1	4955	593

prune102.0ms

Filtered

54 candidates to 63 candidates (-16.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

regimes121.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms

sample1.3s

Algorithm

intervals

Results

459.0ms	6111×	body	128	valid
269.0ms	516×	body	1024	valid
210.0ms	760×	body	512	valid
99.0ms	611×	body	256	valid
19.0ms	253×	body	128	nan
3.0ms	38×	body	128	invalid
2.0ms	2×	body	2048	valid

Details

analyze331.0ms

sample43.0ms

simplify126.0ms

prune2.0ms

localize13.0ms

rewrite49.0ms

series347.0ms

simplify62.0ms

prune122.0ms

localize17.0ms

rewrite45.0ms

series267.0ms

simplify87.0ms

prune124.0ms

localize18.0ms

rewrite38.0ms

series573.0ms

simplify50.0ms

prune147.0ms

localize29.0ms

rewrite20.0ms

series632.0ms

simplify64.0ms

prune102.0ms

regimes121.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.3s

Profiling