Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

339×

body

valid

simplify210.0ms

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: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite19.0ms

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:

10.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 y) z)
48.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify98.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (27.0ms)

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

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.1b	(* (* 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))

series109.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms	(* (* x z) (- y 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (43.0ms)

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

prune88.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* x z) (- y 1.0))
9.2b	(cbrt (* (* x z) (- y 1.0)))
9.2b	(cbrt (* (* x z) (- y 1.0)))
9.2b	(cbrt (* (* x z) (- y 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

12.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
10.0ms	(cbrt (* (* x z) (- y 1.0)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x z) (- y 1.0))
194.0ms	(cbrt (* (* x z) (- y 1.0)))
192.0ms	(cbrt (* (* x z) (- y 1.0)))
193.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune253.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

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)))))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite31.0ms

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:

20.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
1.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
6.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
94.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
93.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
92.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

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

prune260.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes285.0ms

Accuracy

93.7% (0.1b remaining)

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

bsearch90.0ms

Steps

Iters	Range		Point
10	9.593868282723865e-58	6.749157192149008e-47	1.102656055982303e-48
9	-3.3616025022893124e-14	-1.3998740540576414e-20	-5.963481389703192e-17

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample444.0ms

Algorithm

intervals

Results

242.0ms

10144×

body

valid