Details

sample74.0ms

Algorithm

intervals

Results

38.0ms

610×

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: 15.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* i a))
5.8b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* c t) (* i y)))
8.0b	(* b (- (* c z) (* i 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	(- (* c z) (* i a))
10.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c z) (* i a))
68.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* b (- (* c z) (* i a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune402.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.7b

localize28.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (cbrt x) (- (* y z) (* t a)))
3.8b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.1b	(* j (- (* c t) (* i y)))
8.0b	(* b (- (* c z) (* i a)))

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:

11.0ms	(* (cbrt x) (- (* y z) (* t a)))
25.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt x) (- (* y z) (* t a)))
100.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
69.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	571	968
1	2533	762
2	5003	699

prune499.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.7b

localize24.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (- (* y z) (* t a)))
6.5b	(cbrt (- (* y z) (* t a)))
6.5b	(cbrt (- (* y z) (* t a)))
8.0b	(* b (- (* c z) (* i a)))

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:

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

series422.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (- (* y z) (* t a)))
119.0ms	(cbrt (- (* y z) (* t a)))
118.0ms	(cbrt (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* i a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	312	590
1	1053	543
2	3722	525
3	5001	519

prune460.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.7b

localize24.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.6b	(* (cbrt j) (- (* c t) (* i y)))
5.8b	(* x (- (* y z) (* t a)))
8.0b	(* b (- (* c z) (* i a)))

rewrite61.0ms

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:

28.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
11.0ms	(* (cbrt j) (- (* c t) (* i y)))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* i a)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
277.0ms	(* (cbrt j) (- (* c t) (* i y)))
69.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* i a)))

simplify81.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	576	966
1	2593	762
2	5001	699

prune437.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.6b

regimes1.1s

Accuracy

14.9% (4.1b remaining)

Error of 11.6b against oracle of 7.5b and baseline of 12.3b

bsearch92.0ms

Steps

Iters	Range		Point
6	-1.7705003289953708e+115	-1.1124502470251611e+114	-1.7229318484061265e+114

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	53
1	64	53
2	71	53
3	71	53

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19099×

body

valid