Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
4.8b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

13.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 y) z)
46.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.0b	(* (* x z) (- y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms	(* (* x z) (- y 1.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms	(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
0.0b	(+ (* x (* z y)) (* (* x z) (- 1.0)))
7.6b	(* x (* z y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `distribute-rgt-neg-out`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative`

Counts

3 → 46

Calls

3 calls:

14.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
6.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
6.0ms	(* x (* z y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
65.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
28.0ms	(* x (* z y))

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	274	370
1	1218	318
2	5001	293

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
5.0b	(cbrt (- 1.0 (* (- 1.0 y) z)))
5.0b	(cbrt (- 1.0 (* (- 1.0 y) z)))
5.0b	(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

19.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
1.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
1.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
91.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
90.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
90.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	388	959
1	1083	887
2	4152	842
3	5001	842

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

93.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	17
1	42	17
2	49	17
3	49	17

end0.0ms

sample427.0ms

Algorithm

intervals

Results

228.0ms

10179×

body

valid