Details

sample78.0ms

Algorithm

intervals

Results

44.0ms

574×

body

valid

simplify74.0ms

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: 12.3b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
4.1b	(* b (- (* c z) (* t i)))
5.1b	(* j (- (* c a) (* y i)))
5.4b	(* 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	(- (* c z) (* t i))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c z) (* t i))
65.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* j (- (* c a) (* y i)))
77.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485

prune382.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 7.2b

Counts

97 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(* b (- (* t i)))
5.0b	(* b (* c z))
5.1b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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:

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* b (- (* t i)))
23.0ms	(* b (* c z))
65.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5001	419

prune435.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	101	19	120

Merged error: 6.0b

Counts

120 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* b (- t)) i)
5.0b	(* b (* c z))
5.1b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

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

series181.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* b (- t)) i)
27.0ms	(* b (* c z))
62.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	471	477
1	2083	407
2	5001	407

prune350.0ms

Filtered

97 candidates to 60 candidates (61.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	97	19	116

Merged error: 5.5b

Counts

116 → 19

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(* b (- (* t i)))
5.0b	(* (* b c) z)
5.1b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
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:

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* b (- (* t i)))
23.0ms	(* (* b c) z)
66.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	485
1	2203	420
2	5001	420

prune316.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	99	20	119

Merged error: 5.3b

Counts

119 → 20

regimes1.0s

Accuracy

4.3% (6.3b remaining)

Error of 11.9b against oracle of 5.6b and baseline of 12.2b

bsearch188.0ms

Steps

Iters	Range		Point
8	4.500187747149059e-177	5.2051332478181405e-173	1.6245011952631473e-173
7	-1.66380431099482e-188	-4.2879479194182286e-190	-7.491712865522686e-190

simplify11.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	54
1	98	54
2	118	54
3	141	54
4	197	54
5	296	54
6	351	54
7	406	54
8	452	54
9	496	54
10	496	54

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

19200×

body

valid

Iter	Nodes	Cost
0	83	54
1	98	54
2	118	54
3	141	54
4	197	54
5	296	54
6	351	54
7	406	54
8	452	54
9	496	54
10	496	54

Iter	Nodes	Cost
0	83	54
1	98	54
2	118	54
3	141	54
4	197	54
5	296	54
6	351	54
7	406	54
8	452	54
9	496	54
10	496	54

Iter	Nodes	Cost
0	83	54
1	98	54
2	118	54
3	141	54
4	197	54
5	296	54
6	351	54
7	406	54
8	452	54
9	496	54
10	496	54