Details

sample80.0ms

Algorithm

intervals

Results

43.0ms

626×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
5.1b	(* b (- (* c z) (* i a)))
6.1b	(* j (- (* c t) (* i y)))
6.4b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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

series242.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c t) (* i y))
67.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune412.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	75	21	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	21	97

Merged error: 9.9b

Counts

97 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

5.1b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* t a)))
6.1b	(* j (- (* c t) (* i y)))
6.1b	(* x (* y z))

rewrite24.0ms

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:

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* x (- (* t a)))
69.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* x (* y z))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5001	419

prune454.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	86	14	100
Fresh	16	4	20
Picked	1	0	1
Done	0	0	0
Total	103	18	121

Merged error: 6.8b

Counts

121 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

4.3b	(* a (* x t))
5.1b	(* b (- (* c z) (* i a)))
6.1b	(* j (- (* c t) (* i y)))
6.1b	(* x (* y z))

rewrite24.0ms

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:

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

series188.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* a (* x t))
69.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* x (* y z))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	440	454
1	1806	384
2	5001	384

prune449.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	97	17	114

Merged error: 6.6b

Counts

114 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x y) z)
4.3b	(* a (* x t))
5.1b	(* b (- (* c z) (* i a)))
6.1b	(* j (- (* c t) (* i y)))

rewrite26.0ms

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)
5.0ms	(* a (* x t))
8.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x y) z)
24.0ms	(* a (* x t))
68.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	447	455
1	1960	385
2	5001	385

prune360.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	7	9	16
Picked	1	0	1
Done	0	0	0
Total	96	17	113

Merged error: 6.6b

Counts

113 → 17

regimes1.0s

Accuracy

27.6% (4.8b remaining)

Error of 10.9b against oracle of 6.1b and baseline of 12.7b

bsearch78.0ms

Steps

Iters	Range		Point
5	1.0840187183797345e-27	3.0071459711853632e-27	1.5250968462807195e-27

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	51
1	93	51
2	109	51
3	109	51

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

18697×

body

valid