Details

sample81.0ms

Algorithm

intervals

Results

35.0ms

611×

body

valid

simplify79.0ms

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: 10.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.5b	(* x (- (* y z) (* t a)))
4.5b	(* b (- (* c z) (* t i)))
6.1b	(* j (- (* c a) (* y i)))

rewrite90.0ms

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:

8.0ms	(- (* y z) (* t a))
28.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* j (- (* c a) (* y i)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y z) (* t a))
65.0ms	(* x (- (* y z) (* t a)))
58.0ms	(* b (- (* c z) (* t i)))
60.0ms	(* j (- (* c a) (* y i)))

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

prune404.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt (- (* y z) (* t a)))
5.3b	(cbrt (- (* y z) (* t a)))
5.3b	(cbrt (- (* y z) (* t a)))
6.1b	(* j (- (* c a) (* y i)))

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)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
29.0ms	(* j (- (* c a) (* y i)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (- (* y z) (* t a)))
170.0ms	(cbrt (- (* y z) (* t a)))
107.0ms	(cbrt (- (* y z) (* t a)))
61.0ms	(* j (- (* c a) (* y i)))

simplify98.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (92.0ms)

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

prune452.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.2b	(* (cbrt j) (- (* c a) (* y i)))
4.5b	(* x (- (* y z) (* t a)))
4.5b	(* b (- (* c z) (* t i)))

rewrite148.0ms

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:

63.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
28.0ms	(* (cbrt j) (- (* c a) (* y i)))
26.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* t i)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
245.0ms	(* (cbrt j) (- (* c a) (* y i)))
62.0ms	(* x (- (* y z) (* t a)))
59.0ms	(* b (- (* c z) (* t i)))

simplify78.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	574	966
1	2600	762
2	5003	699

prune529.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 4 expressions with local error:

4.5b	(* x (- (* y z) (* t a)))
4.5b	(* x (- (* y z) (* t a)))
4.5b	(* b (- (* c z) (* t i)))
6.1b	(* j (- (* c a) (* y i)))

rewrite108.0ms

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:

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

series243.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* x (- (* y z) (* t a)))
57.0ms	(* b (- (* c z) (* t i)))
60.0ms	(* j (- (* c a) (* y i)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	398	632
1	1673	552
2	5001	552

prune395.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.6b

regimes1.2s

Accuracy

14% (4.5b remaining)

Error of 12.0b against oracle of 7.6b and baseline of 12.7b

bsearch111.0ms

Steps

Iters	Range		Point
8	-2.9625124517836857e+136	-5.3537271509851274e+132	-7.78945759984233e+134

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	35
1	60	35
2	67	35
3	67	35

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s

18854×

body

valid