Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

577×

body

valid

simplify82.0ms

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: 10.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
4.4b	(* b (- (* c z) (* t i)))
4.5b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))

rewrite32.0ms

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c z) (* t i))
66.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* j (- (* c a) (* y i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485

prune399.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.4b

localize24.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (cbrt j) (- (* c a) (* y i)))
2.8b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.4b	(* b (- (* c z) (* t i)))
4.5b	(* x (- (* y z) (* t a)))

rewrite56.0ms

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 j) (- (* c a) (* y i)))
24.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
9.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt j) (- (* c a) (* y i)))
95.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
66.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))

simplify80.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	574	966
1	2598	762
2	5001	699

prune476.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.6b

localize27.0ms

Local error

Found 4 expressions with local error:

4.9b	(* j (- (* c a) (* y i)))
5.5b	(cbrt (- (* y z) (* t a)))
5.5b	(cbrt (- (* y z) (* t a)))
5.5b	(cbrt (- (* y z) (* t a)))

rewrite16.0ms

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

series384.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* j (- (* c a) (* y i)))
107.0ms	(cbrt (- (* y z) (* t a)))
106.0ms	(cbrt (- (* y z) (* t a)))
108.0ms	(cbrt (- (* y z) (* t a)))

simplify97.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	312	590
1	1056	543
2	3733	525
3	5002	519

prune452.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.0b	(* (cbrt x) (- (* y z) (* t a)))
4.4b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y 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:

24.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
10.0ms	(* (cbrt x) (- (* y z) (* t a)))
12.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* j (- (* c a) (* y i)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
278.0ms	(* (cbrt x) (- (* y z) (* t a)))
64.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* j (- (* c a) (* y i)))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

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

prune419.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

regimes1.1s

Accuracy

22.7% (3.7b remaining)

Error of 10.8b against oracle of 7.1b and baseline of 11.9b

bsearch206.0ms

Steps

Iters	Range		Point
8	1.6563582620472266e+92	5.8501374650816635e+96	1.917801526914407e+93
7	-7.485366709424492e-160	-1.0762014378629695e-161	-7.349666506693273e-160

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	41
1	66	41
2	73	41
3	73	41

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

19009×

body

valid