Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

582×

body

valid

simplify76.0ms

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: 9.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* i a))
3.5b	(* b (- (* c z) (* i a)))
4.2b	(* x (- (* y z) (* t a)))
4.4b	(* j (- (* c t) (* i y)))

rewrite36.0ms

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:

5.0ms	(- (* c z) (* i a))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* c t) (* i y)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
65.0ms	(* b (- (* c z) (* i a)))
65.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* j (- (* c t) (* i y)))

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

prune410.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.9b

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
5.3b	(cbrt (- (* y z) (* t a)))
5.3b	(cbrt (- (* y z) (* t a)))
5.3b	(cbrt (- (* y z) (* t a)))

rewrite18.0ms

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:

10.0ms	(* j (- (* c t) (* i y)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c t) (* i y)))
112.0ms	(cbrt (- (* y z) (* t a)))
116.0ms	(cbrt (- (* y z) (* t a)))
116.0ms	(cbrt (- (* y z) (* t a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	313	590
1	1064	543
2	3738	525
3	5001	519

prune476.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
5.0b	(cbrt (- (* c z) (* i a)))
5.0b	(cbrt (- (* c z) (* i a)))
5.0b	(cbrt (- (* c z) (* i a)))

rewrite18.0ms

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:

10.0ms	(* j (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c z) (* i a)))
2.0ms	(cbrt (- (* c z) (* i a)))
2.0ms	(cbrt (- (* c z) (* i a)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* j (- (* c t) (* i y)))
117.0ms	(cbrt (- (* c z) (* i a)))
119.0ms	(cbrt (- (* c z) (* i a)))
114.0ms	(cbrt (- (* c z) (* i a)))

simplify109.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	314	590
1	1058	543
2	3731	525
3	5002	519

prune471.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.9b

localize29.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
2.5b	(* (cbrt x) (- (* y z) (* t a)))
3.5b	(* b (- (* c z) (* i a)))
4.4b	(* j (- (* c t) (* i y)))

rewrite60.0ms

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:

25.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
11.0ms	(* (cbrt x) (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* j (- (* c t) (* i y)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
269.0ms	(* (cbrt x) (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* j (- (* c t) (* i y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	571	968
1	2535	762
2	5001	699

prune419.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

regimes1.1s

Accuracy

0% (3.9b remaining)

Error of 12.3b against oracle of 8.3b and baseline of 12.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

19147×

body

valid