Details

analyze339.0ms

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

sample53.0ms

Algorithm

intervals

Results

13.0ms	180×	body	80	valid
11.0ms	30×	body	640	valid
8.0ms	11×	body	1280	valid
6.0ms	24×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	12×	body	80	nan

simplify248.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	6294	17

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: 7.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
6.1b	(log.f64 (-.f64 1 y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
42×	`log-prod_binary64`
38×	`*-un-lft-identity_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
14×	`associate-l_binary64` `difference-of-squares_binary64`
12×	`associate-+r+_binary64` `associate-*l/_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `distribute-lft-out--_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` `difference-of-sqr-1_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 → 118

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
11.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
7.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5164	1658

prune135.0ms

Filtered

95 candidates to 130 candidates (-36.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	121	9	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	9	131

Merged error: 0.0b

Counts

131 → 9

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 y 1/3) 1/2))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite39.0ms

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:

13.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series38.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
8.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
2.0ms	(*.f64 y 1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4988	1354
1	4988	1354

prune107.0ms

Filtered

79 candidates to 116 candidates (-46.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

16.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series75.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
2.0ms	(*.f64 y 1/3)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4969	929
1	4969	929

prune127.0ms

Filtered

90 candidates to 104 candidates (-15.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod_binary64`
31×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`
14×	`associate-+r+_binary64`
9×	`unpow-prod-down_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `sqr-pow_binary64` `associate-l_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series85.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
2.0ms	(*.f64 y 1/3)
16.0ms	(cbrt.f64 y)
16.0ms	(pow.f64 y 1/3)

simplify78.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4906	916
1	4906	916

prune113.0ms

Filtered

91 candidates to 113 candidates (-24.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

regimes336.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	243	36
1	243	36

end0.0ms

sample1.4s

Algorithm

intervals

Results

423.0ms	5816×	body	80	valid
285.0ms	773×	body	640	valid
213.0ms	306×	body	1280	valid
161.0ms	688×	body	320	valid
63.0ms	417×	body	160	valid
18.0ms	245×	body	80	nan
2.0ms	23×	body	80	invalid

Details

analyze339.0ms

sample53.0ms

simplify248.0ms

prune3.0ms

localize12.0ms

rewrite44.0ms

series41.0ms

simplify49.0ms

prune135.0ms

localize17.0ms

rewrite39.0ms

series38.0ms

simplify42.0ms

prune107.0ms

localize25.0ms

rewrite27.0ms

series75.0ms

simplify49.0ms

prune127.0ms

localize29.0ms

rewrite30.0ms

series85.0ms

simplify78.0ms

prune113.0ms

regimes336.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.4s

Profiling