Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

614×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 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: 11.4b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
6.2b	(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
65.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* j (- (* c a) (* y i)))
66.0ms	(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune379.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	74	22	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	22	97

Merged error: 8.5b

Counts

97 → 22

localize37.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.3b	(* x (* y z))
5.5b	(* x (- (* t a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* j (- (* c a) (* y i)))
8.0ms	(* x (* y z))
8.0ms	(* x (- (* t a)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* t i)))
62.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (* y z))
29.0ms	(* x (- (* t a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	442	484
1	2052	419
2	5002	419

prune462.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	91	9	100
Fresh	11	10	21
Picked	1	0	1
Done	0	0	0
Total	103	19	122

Merged error: 5.6b

Counts

122 → 19

localize23.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.3b	(* x (* y z))
5.6b	(* a (* x t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (* y z))
5.0ms	(* a (* x t))

series179.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (* y z))
24.0ms	(* a (* x t))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	438	454
1	1798	384
2	5001	384

prune444.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	98	17	115

Merged error: 4.9b

Counts

115 → 17

localize23.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x y) z)
4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.6b	(* a (* x t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (* x y) z)
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* a (* x t))

series180.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x y) z)
68.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* j (- (* c a) (* y i)))
23.0ms	(* a (* x t))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	455
1	1952	385
2	5001	385

prune361.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	95	18	113

Merged error: 4.7b

Counts

113 → 18

regimes1.1s

Accuracy

21.7% (5.4b remaining)

Error of 11.5b against oracle of 6.1b and baseline of 13.0b

bsearch124.0ms

Steps

Iters	Range		Point
9	2.1321494403375506e+98	4.370524162064471e+106	2.169037023706084e+98

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	55
1	73	55
2	79	55
3	79	55

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18804×

body

valid