Details

analyze2.7s

Algorithm

sampling

Space saved by range analysis: 0.389958%

Space saved by search: 64.202641%

Guaranteed chance to sample good point: 0%

sample58.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
8.0ms	116×	body	80	nan
3.0ms	32×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune6.0ms

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: 0.1b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (* x (log y)) z) t)
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
6.0ms	(+ (+ (* x (log y)) z) t)
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x (log y)) z)
12.0ms	(+ (+ (* x (log y)) z) t)
10.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	450	531
1	1514	477
2	5002	433

prune158.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series93.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
41.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
22.0ms	(cbrt c)
23.0ms	(cbrt c)

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5001	735

prune192.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series95.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
24.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune131.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
0.6b	(cbrt c)
0.6b	(cbrt (sqrt c))
0.6b	(cbrt (sqrt c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
20×	`associate-*l/`
18×	`associate-+r+` `log-prod`
16×	`frac-add`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`flip3--` `flip--`
12×	`sqrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times`
7×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

14.0ms	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
1.0ms	(cbrt c)
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))

series116.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* (- b 0.5) (+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
22.0ms	(cbrt c)
19.0ms	(cbrt (sqrt c))
16.0ms	(cbrt (sqrt c))

simplify113.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	944	1783
1	4489	1651
2	5001	1585

prune169.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

regimes1.5s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	18
1	36	18

end0.0ms

analyze2.6s

Algorithm

sampling

Space saved by range analysis: 0.389958%

Space saved by search: 64.202641%

Guaranteed chance to sample good point: 0%

sample1.7s

Algorithm

intervals

Results

679.0ms	7993×	body	80	valid
293.0ms	3895×	body	80	nan
96.0ms	1225×	body	80	invalid
1.0ms	4×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze2.7s

sample58.0ms

simplify73.0ms

prune6.0ms

localize21.0ms

rewrite25.0ms

series40.0ms

simplify41.0ms

prune158.0ms

localize25.0ms

rewrite25.0ms

series93.0ms

simplify59.0ms

prune192.0ms

localize26.0ms

rewrite13.0ms

series95.0ms

simplify76.0ms

prune131.0ms

localize28.0ms

rewrite23.0ms

series116.0ms

simplify113.0ms

prune169.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.6s

sample1.7s

Profiling