Details

sample70.0ms

Algorithm

intervals

Results

34.0ms

581×

body

valid

simplify75.0ms

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: 12.4b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.5b	(* x (- (* y z) (* t a)))
4.8b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))

rewrite25.0ms

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:

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

series236.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) (* t a))
67.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune400.0ms

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: 8.3b

Counts

97 → 22

localize23.0ms

Local error

Found 4 expressions with local error:

4.6b	(* x (* y z))
4.8b	(* b (- (* c z) (* i a)))
5.3b	(* x (- (* t a)))
6.2b	(* j (- (* c t) (* i y)))

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:

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

series184.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (* y z))
65.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (- (* t a)))
66.0ms	(* j (- (* c t) (* i y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (18.0ms)

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

prune416.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	100	22	122

Merged error: 6.6b

Counts

122 → 22

localize28.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (- (* c t) (* i y)))
10.8b	(cbrt (- (* t a)))
10.8b	(cbrt (- (* t a)))
10.8b	(cbrt (- (* t a)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
2.0ms	(cbrt (- (* t a)))
2.0ms	(cbrt (- (* t a)))
2.0ms	(cbrt (- (* t a)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* j (- (* c t) (* i y)))
100.0ms	(cbrt (- (* t a)))
97.0ms	(cbrt (- (* t a)))
97.0ms	(cbrt (- (* t a)))

simplify74.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	236	452
1	752	411
2	2732	387
3	5003	384

prune453.0ms

Filtered

78 candidates to 62 candidates (79.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	78	22	100

Merged error: 6.6b

Counts

100 → 22

localize32.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (- (* c t) (* i y)))
13.1b	(cbrt (* x (* y z)))
13.1b	(cbrt (* x (* y z)))
13.1b	(cbrt (* x (* y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
4.0ms	(cbrt (* x (* y z)))
4.0ms	(cbrt (* x (* y z)))
4.0ms	(cbrt (* x (* y z)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c t) (* i y)))
89.0ms	(cbrt (* x (* y z)))
89.0ms	(cbrt (* x (* y z)))
90.0ms	(cbrt (* x (* y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	245	374
1	846	333
2	3120	324
3	5002	309

prune264.0ms

Filtered

63 candidates to 47 candidates (74.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	63	22	85

Merged error: 6.6b

Counts

85 → 22

regimes1.1s

Accuracy

-1.8% (5.7b remaining)

Error of 12.1b against oracle of 6.4b and baseline of 12.0b

bsearch158.0ms

Steps

Iters	Range		Point
8	2.8059840969933902e-217	1.1999274532176383e-214	3.3207159222899546e-215
5	-4.745853485790696e-139	-1.6786546600989055e-139	-1.714942722626056e-139

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	51
1	77	51
2	78	51
3	78	51

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19134×

body

valid