Details

sample75.0ms

Algorithm

intervals

Results

39.0ms

632×

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: 14.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
5.7b	(* b (- (* c z) (* t i)))
6.2b	(* j (- (* c a) (* y i)))
6.5b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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:

2.0ms	(- (* y z) (* t a))
10.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* x (- (* y z) (* t a)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
67.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))

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

prune398.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize24.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (- (* c a) (* y i)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(* j (- (* c a) (* y i)))
11.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* x (- (* y z) (* t a)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* x (- (* y z) (* t a)))

simplify124.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	632
1	1142	552
2	4605	552
3	5002	552

prune476.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize27.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.0b	(* (cbrt x) (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* t i)))
6.2b	(* j (- (* c a) (* y i)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

24.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
11.0ms	(* (cbrt x) (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* j (- (* c a) (* y i)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
267.0ms	(* (cbrt x) (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* t i)))
67.0ms	(* j (- (* c a) (* y i)))

simplify74.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	569	968
1	2528	762
2	5001	699

prune495.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.3b

localize24.0ms

Local error

Found 4 expressions with local error:

6.5b	(* x (- (* y z) (* t a)))
7.5b	(cbrt (- (* c a) (* y i)))
7.5b	(cbrt (- (* c a) (* y i)))
7.5b	(cbrt (- (* c a) (* y i)))

rewrite17.0ms

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:

9.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
112.0ms	(cbrt (- (* c a) (* y i)))
115.0ms	(cbrt (- (* c a) (* y i)))
111.0ms	(cbrt (- (* c a) (* y i)))

simplify98.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5002	519

prune392.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.3b

regimes1.0s

Accuracy

-1.5% (4.1b remaining)

Error of 12.9b against oracle of 8.7b and baseline of 12.8b

bsearch223.0ms

Steps

Iters	Range		Point
8	2.829217313310276e-180	1.2457907296812525e-175	4.4248614871445536e-179
10	-3.447431126402052e-107	-5.344519215066561e-120	-5.537573782575332e-120

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	58
1	59	58

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19294×

body

valid