Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample62.0ms

Algorithm

intervals

Results

18.0ms	235×	body	80	invalid
14.0ms	256×	body	80	valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5068	19

prune16.0ms

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: 0.6b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (* z t) (* c (* (+ a (* b c)) i)))
0.6b	(* (+ a (* b c)) i)
3.2b	(* c (* (+ a (* b c)) i))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

3.0ms	(+ a (* b c))
4.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
5.0ms	(* (+ a (* b c)) i)
6.0ms	(* c (* (+ a (* b c)) i))

series74.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ a (* b c))
41.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
12.0ms	(* (+ a (* b c)) i)
16.0ms	(* c (* (+ a (* b c)) i))

simplify29.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5055	777

prune131.0ms

Filtered

57 candidates to 74 candidates (-29.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	9	76

Merged error: 0.5b

Counts

76 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
1.9b	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
2.6b	(* (+ a (* c b)) (* i (cbrt c)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
13.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
7.0ms	(* (+ a (* c b)) (* i (cbrt c)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt c)
21.0ms	(cbrt c)
19.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
54.0ms	(* (+ a (* c b)) (* i (cbrt c)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4944	684
1	4944	684

prune113.0ms

Filtered

50 candidates to 84 candidates (-68.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.5b

Counts

93 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(* c (* (+ a (* c b)) i))
9.6b	(cbrt (* c (* (+ a (* c b)) i)))
9.6b	(cbrt (* c (* (+ a (* c b)) i)))
9.6b	(cbrt (* c (* (+ a (* c b)) i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* c (* (+ a (* c b)) i))
5.0ms	(cbrt (* c (* (+ a (* c b)) i)))
5.0ms	(cbrt (* c (* (+ a (* c b)) i)))
5.0ms	(cbrt (* c (* (+ a (* c b)) i)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* c (* (+ a (* c b)) i))
45.0ms	(cbrt (* c (* (+ a (* c b)) i)))
43.0ms	(cbrt (* c (* (+ a (* c b)) i)))
46.0ms	(cbrt (* c (* (+ a (* c b)) i)))

simplify58.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4945	753
1	4945	753

prune113.0ms

Filtered

53 candidates to 65 candidates (-22.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	65	10	75

Merged error: 0.5b

Counts

75 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (- (* z t) (* c (* (+ a (* c b)) i))))
3.2b	(* c (* (+ a (* c b)) i))
3.2b	(* c (* (+ a (* c b)) i))
3.2b	(* c (* (+ a (* c b)) i))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`cbrt-prod` `flip3-+` `associate-r` `*-commutative` `flip-+`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (- (* z t) (* c (* (+ a (* c b)) i))))
8.0ms	(* c (* (+ a (* c b)) i))
6.0ms	(* c (* (+ a (* c b)) i))
6.0ms	(* c (* (+ a (* c b)) i))

series110.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (- (* z t) (* c (* (+ a (* c b)) i))))
13.0ms	(* c (* (+ a (* c b)) i))
13.0ms	(* c (* (+ a (* c b)) i))
13.0ms	(* c (* (+ a (* c b)) i))

simplify29.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5316	998

prune79.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	85	10	95

Merged error: 0.5b

Counts

95 → 10

regimes2.1s

Accuracy

87.4% (0.4b remaining)

Error of 1.1b against oracle of 0.8b and baseline of 3.8b

bsearch57.0ms

Steps

Iters	Range		Point
8	1.7152253181162121e-06	0.056406836105360014	1.7431770553341943e-06
5	-1.5742630744596776e+33	-6.696243557413571e+32	-8.732376824552743e+32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	134	47
1	134	47

end0.0ms

sample1.6s

Algorithm

intervals

Results

453.0ms	8000×	body	80	valid
430.0ms	7076×	body	80	invalid

Details

analyze1.6s

sample62.0ms

simplify170.0ms

prune16.0ms

localize14.0ms

rewrite19.0ms

series74.0ms

simplify29.0ms

prune131.0ms

localize18.0ms

rewrite24.0ms

series116.0ms

simplify45.0ms

prune113.0ms

localize19.0ms

rewrite23.0ms

series147.0ms

simplify58.0ms

prune113.0ms

localize18.0ms

rewrite27.0ms

series110.0ms

simplify29.0ms

prune79.0ms

regimes2.1s

bsearch57.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling