Details

sample81.0ms

Algorithm

intervals

Results

45.0ms

598×

body

valid

simplify80.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
5.2b	(* b (- (* c z) (* i a)))
5.7b	(* x (- (* y z) (* t a)))
6.6b	(* j (- (* c t) (* i y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

11.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
67.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	593	891
1	2760	825
2	5001	825

prune463.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (* c t))
5.2b	(* b (- (* c z) (* i a)))
5.7b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* i y)))

rewrite31.0ms

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))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* j (- (* i y)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* j (* c t))
66.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (- (* i y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	445	484
1	2071	419
2	5001	419

prune449.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.3b	(* i (* y j))
4.7b	(* j (* c t))
5.2b	(* b (- (* c z) (* i a)))
5.7b	(* x (- (* y z) (* t a)))

rewrite31.0ms

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	(* i (* y j))
6.0ms	(* j (* c t))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* i (* y j))
27.0ms	(* j (* c t))
64.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	441	454
1	1813	384
2	5002	384

prune428.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.8b

localize29.0ms

Local error

Found 4 expressions with local error:

4.3b	(* i (* y j))
5.2b	(* b (- (* c z) (* i a)))
5.3b	(* (* j c) t)
5.7b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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	(* i (* y j))
9.0ms	(* b (- (* c z) (* i a)))
7.0ms	(* (* j c) t)
9.0ms	(* x (- (* y z) (* t a)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* i (* y j))
71.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* (* j c) t)
72.0ms	(* x (- (* y z) (* t a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	447	455
1	1937	385
2	5001	385

prune341.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.8b

regimes1.2s

Accuracy

26.6% (7.4b remaining)

Error of 9.6b against oracle of 2.2b and baseline of 12.3b

bsearch364.0ms

Steps

Iters	Range		Point
9	5.61310397197643e+109	9.306489350015164e+114	1.9325586949378498e+111
9	1.47392023270316e-193	1.5581893907283117e-187	1.849920600104759e-188
7	-4.458473145575816e+57	-7.172468125766422e+55	-7.207729151697562e+56

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	58
1	96	58
2	106	58
3	106	58

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

19204×

body

valid