Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

607×

body

valid

simplify76.0ms

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: 11.0b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
3.0b	(* x (- (* y z) (* t a)))
4.7b	(* b (- (* c z) (* t i)))
6.1b	(* j (- (* c a) (* y i)))

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

series224.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* t i))
61.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* j (- (* c a) (* y i)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune370.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	79	17	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	17	97

Merged error: 8.4b

Counts

97 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (- (* y z) (* t a)))
4.2b	(* b (- (* t i)))
4.3b	(* b (* c z))
6.1b	(* j (- (* c a) (* y i)))

rewrite25.0ms

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	(* x (- (* y z) (* t a)))
4.0ms	(* b (- (* t i)))
5.0ms	(* b (* c z))
8.0ms	(* j (- (* c a) (* y i)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* b (- (* t i)))
26.0ms	(* b (* c z))
61.0ms	(* j (- (* c a) (* y i)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

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

prune436.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	85	15	100
Fresh	13	3	16
Picked	1	0	1
Done	0	0	0
Total	99	18	117

Merged error: 6.1b

Counts

117 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (- (* y z) (* t a)))
4.1b	(* t (* i b))
4.3b	(* b (* c z))
6.1b	(* j (- (* c a) (* y i)))

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

series175.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* t (* i b))
23.0ms	(* b (* c z))
63.0ms	(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	438	454
1	1788	384
2	5001	384

prune400.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	96	18	114

Merged error: 5.8b

Counts

114 → 18

localize22.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (- (* y z) (* t a)))
4.1b	(* t (* i b))
5.6b	(* (* b c) z)
6.1b	(* j (- (* c a) (* y i)))

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:

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

series178.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* t (* i b))
26.0ms	(* (* b c) z)
63.0ms	(* j (- (* c a) (* y i)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	444	455
1	1912	385
2	5002	385

prune330.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	96	18	114

Merged error: 5.6b

Counts

114 → 18

regimes999.0ms

Accuracy

52.6% (3.5b remaining)

Error of 9.1b against oracle of 5.6b and baseline of 12.9b

bsearch251.0ms

Steps

Iters	Range		Point
10	1.1142404272645183e-45	5.887367513112767e-34	4.349442545065627e-34
8	-431362558525.3461	-48754443.234623335	-20420871944.236687

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	51
1	99	51
2	115	51
3	115	51

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

19242×

body

valid