Details

sample139.0ms

Algorithm

intervals

Results

103.0ms

585×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
5.3b	(* b (- (* c z) (* i a)))
6.4b	(* j (- (* c t) (* i y)))
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))
9.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* y z) (* t a)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
64.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* j (- (* c t) (* i y)))
261.0ms	(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune396.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.1b

localize29.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (cbrt x) (- (* y z) (* t a)))
3.8b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.3b	(* b (- (* c z) (* i a)))
6.4b	(* j (- (* c t) (* i y)))

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

series522.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt x) (- (* y z) (* t a)))
106.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
68.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

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

prune500.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.1b

localize25.0ms

Local error

Found 4 expressions with local error:

6.5b	(* x (- (* y z) (* t a)))
7.1b	(cbrt (- (* c t) (* i y)))
7.1b	(cbrt (- (* c t) (* i y)))
7.1b	(cbrt (- (* c t) (* i y)))

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 t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (- (* y z) (* t a)))
120.0ms	(cbrt (- (* c t) (* i y)))
127.0ms	(cbrt (- (* c t) (* i y)))
116.0ms	(cbrt (- (* c t) (* i y)))

simplify104.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5001	519

prune481.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.1b

localize32.0ms

Local error

Found 4 expressions with local error:

6.4b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite40.0ms

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

series307.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* j (- (* c t) (* i y)))
73.0ms	(* x (- (* y z) (* t a)))
78.0ms	(* x (- (* y z) (* t a)))
79.0ms	(* x (- (* y z) (* t a)))

simplify136.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	277	632
1	1150	552
2	4611	552
3	5002	552

prune465.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.1b

regimes1.2s

Accuracy

0% (3.8b remaining)

Error of 12.0b against oracle of 8.2b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	38
1	44	38

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.5s

19049×

body

valid