Details

sample81.0ms

Algorithm

intervals

Results

46.0ms

585×

body

valid

simplify79.0ms

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: 12.5b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.5b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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

series246.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c t) (* i y))
69.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))
72.0ms	(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune400.0ms

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: 8.3b

Counts

97 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
4.5b	(* b (* c z))
4.9b	(* b (- (* i a)))
5.2b	(* x (- (* y z) (* t a)))

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* b (* c z))
23.0ms	(* b (- (* i a)))
69.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5002	419

prune593.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	102	18	120

Merged error: 5.4b

Counts

120 → 18

localize23.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* i a)))
5.2b	(* x (- (* y z) (* t a)))
5.2b	(* (* b c) z)

rewrite25.0ms

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:

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* b (- (* i a)))
64.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* (* b c) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	485
1	2196	420
2	5001	420

prune367.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	101	17	118

Merged error: 5.4b

Counts

118 → 17

localize26.0ms

Local error

Found 4 expressions with local error:

4.5b	(cbrt (* x (- (* y z) (* t a))))
5.2b	(* x (- (* y z) (* t a)))
5.2b	(* x (- (* y z) (* t a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite26.0ms

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`
8×	`associate-*r/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 83

Calls

4 calls:

5.0ms	(cbrt (* x (- (* y z) (* t a))))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* x (- (* y z) (* t a)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* x (- (* y z) (* t a))))
69.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify97.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	257	602
1	923	531
2	3487	528
3	5002	527

prune362.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	93	19	112

Merged error: 5.4b

Counts

112 → 19

regimes1.1s

Accuracy

-17.3% (6.8b remaining)

Error of 13.1b against oracle of 6.3b and baseline of 12.1b

bsearch367.0ms

Steps

Iters	Range		Point
6	1.4413068909926753e-35	1.0288182449851858e-34	1.4683055985002132e-35
8	3.363288364271029e-109	1.0917384433495224e-106	2.561128999821832e-107
7	4.933405858791308e-180	1.663461432322569e-178	3.1821747028115054e-179
7	-1.66380431099482e-188	-4.2879479194182286e-190	-7.307678131822392e-190

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	75
1	102	75
2	118	75
3	141	75
4	197	75
5	296	75
6	346	75
7	396	75
8	437	75
9	474	75
10	474	75

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s

19121×

body

valid

Iter	Nodes	Cost
0	86	75
1	102	75
2	118	75
3	141	75
4	197	75
5	296	75
6	346	75
7	396	75
8	437	75
9	474	75
10	474	75

Iter	Nodes	Cost
0	86	75
1	102	75
2	118	75
3	141	75
4	197	75
5	296	75
6	346	75
7	396	75
8	437	75
9	474	75
10	474	75

Iter	Nodes	Cost
0	86	75
1	102	75
2	118	75
3	141	75
4	197	75
5	296	75
6	346	75
7	396	75
8	437	75
9	474	75
10	474	75