Details

sample27.0ms

Algorithm

intervals

Results

17.0ms

323×

body

valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

2.0ms	(- 1.0 (* (- 1.0 y) z))
10.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- 1.0 (* (- 1.0 y) z))
29.0ms	(* (- 1.0 y) z)
48.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	233	336
1	920	299
2	4132	288
3	5001	288

prune118.0ms

Pruning

5 alts after pruning (4 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)))
2.1b	(* (* 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)))
11.0ms	(* (* 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))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (38.0ms)

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

prune84.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
0.3b	(cbrt (- 1.0 y))
2.5b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
2.0ms	(cbrt (- 1.0 y))
7.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- 1.0 y))
88.0ms	(cbrt (- 1.0 y))
87.0ms	(cbrt (- 1.0 y))
48.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	310	762
1	1101	661
2	5001	619

prune240.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
2.0b	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

3.0ms	(cbrt x)
0.0ms	(cbrt x)
21.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
8.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
165.0ms	(cbrt x)
64.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
105.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	334	759
1	1441	577
2	5001	498

prune248.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample682.0ms

Algorithm

intervals

Results

475.0ms

10116×

body

valid