Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

311×

body

valid

simplify206.0ms

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	4791	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)))

rewrite17.0ms

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:

9.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 y) z)
48.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

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

prune88.0ms

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

rewrite15.0ms

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))

series119.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
60.0ms	(* (* x z) (- y 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (37.0ms)

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

prune85.0ms

Pruning

4 alts after pruning (3 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)))
5.4b	(* 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:

16.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
5.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
6.0ms	(* x (* z y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
71.0ms	(+ (* x (* z y)) (* (* x z) (- 1.0)))
25.0ms	(* x (* z y))

simplify48.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (39.0ms)

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

prune112.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

3.4b	(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
3.9b	(cbrt (* (- 1.0 y) z))
3.9b	(cbrt (* (- 1.0 y) z))
3.9b	(cbrt (* (- 1.0 y) z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `-un-lft-identity` `associate-l/` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `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 → 57

Calls

4 calls:

7.0ms	(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
3.0ms	(cbrt (* (- 1.0 y) z))
3.0ms	(cbrt (* (- 1.0 y) z))
3.0ms	(cbrt (* (- 1.0 y) z))

series368.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
95.0ms	(cbrt (* (- 1.0 y) z))
94.0ms	(cbrt (* (- 1.0 y) z))
94.0ms	(cbrt (* (- 1.0 y) z))

simplify121.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	306	888
1	1013	746
2	4522	680
3	5001	669

prune206.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

96.6% (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

sample437.0ms

Algorithm

intervals

Results

235.0ms

10177×

body

valid