Details

sample124.0ms

Algorithm

intervals

Results

88.0ms

620×

body

valid

simplify81.0ms

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: 12.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* j (- (* c a) (* y i)))
5.5b	(* b (- (* c z) (* t i)))
5.7b	(* 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))
11.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
67.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune408.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (cbrt x) (- (* y z) (* t a)))
3.1b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.1b	(* j (- (* c a) (* y i)))
5.5b	(* b (- (* c z) (* t i)))

rewrite58.0ms

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:

10.0ms	(* (cbrt x) (- (* y z) (* t a)))
26.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* b (- (* c z) (* t i)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt x) (- (* y z) (* t a)))
97.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
62.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* b (- (* c z) (* t i)))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	569	968
1	2526	762
2	5003	699

prune481.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.5b	(* b (- (* c z) (* t i)))
5.5b	(* b (- (* c z) (* t i)))
5.5b	(* b (- (* c z) (* t i)))
5.7b	(* x (- (* y z) (* t a)))

rewrite38.0ms

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

series260.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))

simplify121.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	274	632
1	1139	552
2	4595	552
3	5001	552

prune506.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.0b

localize34.0ms

Local error

Found 4 expressions with local error:

5.7b	(* x (- (* y z) (* t a)))
7.1b	(cbrt (- (* c z) (* t i)))
7.1b	(cbrt (- (* c z) (* t i)))
7.1b	(cbrt (- (* c z) (* t 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 z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (- (* y z) (* t a)))
110.0ms	(cbrt (- (* c z) (* t i)))
112.0ms	(cbrt (- (* c z) (* t i)))
113.0ms	(cbrt (- (* c z) (* t i)))

simplify96.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	316	590
1	1059	543
2	3717	525
3	5002	519

prune441.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 8.0b

regimes1.4s

Accuracy

3.8% (3.8b remaining)

Error of 11.9b against oracle of 8.1b and baseline of 12.1b

bsearch166.0ms

Steps

Iters	Range		Point
5	1.0290091423414965e-259	3.731676859537291e-259	2.526626657615981e-259
6	-2.2220753096805243e-184	-1.9177884075299297e-185	-3.6124133271854736e-185

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	54
1	55	54

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s

19076×

body

valid