Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series90.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* (+ (* x y) z) y) t)
36.0ms	(* (+ (* x y) z) y)

simplify102.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	201	203
1	707	177
2	4324	170
3	5001	169

prune119.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fma x y z) (cbrt y)) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 62

Calls

4 calls:

6.0ms	(* (* (fma x y z) (cbrt y)) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series749.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (* (fma x y z) (cbrt y)) (cbrt y))
185.0ms	(cbrt y)
179.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify128.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	181	308
1	786	277
2	4518	255
3	5002	252

prune238.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
7.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series452.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
109.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))

simplify153.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	279	866
1	997	814
2	4643	745
3	5001	745

prune345.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))

series753.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
326.0ms	(cbrt (* (+ (* x y) z) y))
127.0ms	(cbrt (* (+ (* x y) z) y))
131.0ms	(cbrt (* (+ (* x y) z) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	372	868
1	1182	797
2	5001	734

prune315.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample573.0ms

Algorithm

intervals

Results

295.0ms

11163×

body

valid