Details

sample89.0ms

Algorithm

intervals

Results

49.0ms

634×

body

valid

simplify75.0ms

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: 12.9b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.9b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))
5.9b	(* b (- (* c z) (* t i)))

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

series229.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune397.0ms

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: 8.9b

Counts

97 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (* c z))
4.9b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))
7.1b	(* b (- (* t i)))

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

series184.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* b (* c z))
66.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* b (- (* t i)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5002	419

prune394.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	8	12	20
Picked	1	0	1
Done	0	0	0
Total	104	17	121

Merged error: 6.5b

Counts

121 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(* t (* i b))
4.4b	(* b (* c z))
4.9b	(* x (- (* y z) (* t a)))
4.9b	(* 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:

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

series180.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* t (* i b))
23.0ms	(* b (* c z))
66.0ms	(* x (- (* y z) (* t a)))
65.0ms	(* j (- (* c a) (* y i)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune342.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	94	19	113

Merged error: 5.9b

Counts

113 → 19

localize28.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
4.4b	(* b (* c z))
4.9b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
24×	`add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
5.0ms	(* b (* c z))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c a) (* y i)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* i b)))
24.0ms	(* b (* c z))
66.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c a) (* y i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	515	657
1	2190	502
2	5002	467

prune303.0ms

Filtered

106 candidates to 58 candidates (54.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	106	19	125

Merged error: 5.9b

Counts

125 → 19

regimes1.1s

Accuracy

18% (5.7b remaining)

Error of 11.6b against oracle of 5.9b and baseline of 12.8b

bsearch240.0ms

Steps

Iters	Range		Point
9	1.1726358586481741e+41	1.4106128027304756e+48	1.2928008655793125e+48
7	-9.527268237108046e-209	-1.5485665117233654e-210	-9.414354848638626e-209

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	37
1	80	37
2	88	37
3	88	37

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s

19045×

body

valid