Details

sample77.0ms

Algorithm

intervals

Results

34.0ms

582×

body

valid

simplify79.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* c t) (* i y))
4.6b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
7.5b	(* j (- (* c t) (* i y)))

rewrite89.0ms

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:

7.0ms	(- (* c t) (* i y))
26.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (- (* c t) (* i y)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* c t) (* i y))
61.0ms	(* b (- (* c z) (* i a)))
63.0ms	(* x (- (* y z) (* t a)))
61.0ms	(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune398.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.5b

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (* c z))
4.9b	(* b (- (* i a)))
6.5b	(* x (- (* y z) (* t a)))
7.5b	(* j (- (* c t) (* i y)))

rewrite87.0ms

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:

16.0ms	(* b (* c z))
12.0ms	(* b (- (* i a)))
30.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

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

prune445.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.2b

localize28.0ms

Local error

Found 4 expressions with local error:

7.5b	(* j (- (* c t) (* i y)))
14.3b	(cbrt (- (* i a)))
14.3b	(cbrt (- (* i a)))
14.3b	(cbrt (- (* i a)))

rewrite37.0ms

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:

29.0ms	(* j (- (* c t) (* i y)))
2.0ms	(cbrt (- (* i a)))
2.0ms	(cbrt (- (* i a)))
2.0ms	(cbrt (- (* i a)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* j (- (* c t) (* i y)))
100.0ms	(cbrt (- (* i a)))
100.0ms	(cbrt (- (* i a)))
104.0ms	(cbrt (- (* i a)))

simplify83.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	235	452
1	751	411
2	2731	387
3	5002	384

prune486.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize28.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (- (* y z) (* t a)))
7.2b	(cbrt (- (* y z) (* t a)))
7.2b	(cbrt (- (* y z) (* t a)))
7.5b	(* j (- (* c t) (* i y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt (- (* y z) (* t a)))
8.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
26.0ms	(* j (- (* c t) (* i y)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (- (* y z) (* t a)))
122.0ms	(cbrt (- (* y z) (* t a)))
120.0ms	(cbrt (- (* y z) (* t a)))
77.0ms	(* j (- (* c t) (* i y)))

simplify104.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	313	590
1	1064	543
2	3738	525
3	5001	519

prune381.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.2b

regimes1.2s

Accuracy

24.7% (4.6b remaining)

Error of 11.2b against oracle of 6.6b and baseline of 12.8b

bsearch237.0ms

Steps

Iters	Range		Point
8	2.933930871734539e+66	7.545319794695243e+70	3.074674762382884e+67
9	-1.896102848278648e+100	-2.1574758402173087e+93	-3.7970969047861915e+98

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	82
1	83	82
2	84	82
3	84	82

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

18954×

body

valid