Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

333×

body

valid

simplify206.0ms

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: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.5b	(* 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)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 y) z)
52.0ms	(* 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

prune283.0ms

Pruning

6 alts after pruning (5 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)))
3.5b	(* (* 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))

series116.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
53.0ms	(* (* x z) (- y 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (42.0ms)

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

prune94.0ms

Pruning

8 alts after pruning (7 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)))
5.6b	(* x (* z y))

rewrite30.0ms

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:

15.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
5.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
8.0ms	(* x (* z y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
69.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
25.0ms	(* x (* z y))

simplify47.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (42.0ms)

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

prune117.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (* z y))
7.9b	(cbrt (* x (* z y)))
7.9b	(cbrt (* x (* z y)))
7.9b	(cbrt (* x (* z y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 45

Calls

4 calls:

6.0ms	(* x (* z y))
4.0ms	(cbrt (* x (* z y)))
4.0ms	(cbrt (* x (* z y)))
4.0ms	(cbrt (* x (* z y)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* x (* z y))
91.0ms	(cbrt (* x (* z y)))
92.0ms	(cbrt (* x (* z y)))
90.0ms	(cbrt (* x (* z y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	176	285
1	546	249
2	2017	225
3	5001	203

prune153.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch67.0ms

Steps

Iters	Range		Point
6	9.50952901782843e-47	8.015855564889444e-46	6.423048079579083e-46
6	-1.3069732955539597e-98	-2.1406595402918845e-99	-1.2920222538330339e-98

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	13
1	39	13
2	46	13
3	46	13

end0.0ms

sample688.0ms

Algorithm

intervals

Results

476.0ms

10175×

body

valid