Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

500×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (94.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* z z))
0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
4.6b	(* (* y 4.0) (- t (* z z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative` `fma-udef`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- t (* z z))
1.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
8.0ms	(* (* y 4.0) (- t (* z z)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- t (* z z))
99.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
86.0ms	(* (* y 4.0) (- t (* z z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	279	440
1	1253	374
2	5002	367

prune206.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
7.5b	(* (* y 4.0) (- (* z z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
7.0ms	(* (* y 4.0) (- (* z z)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
106.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
40.0ms	(* (* y 4.0) (- (* z z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	269	419
1	1440	346
2	5001	337

prune188.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.0b	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
0.2b	(* (* (* y 4.0) (- z)) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-out` `expm1-log1p-u` `associate-r` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `fma-udef`

Counts

3 → 50

Calls

3 calls:

6.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
8.0ms	(* (* (* y 4.0) (- z)) z)

series246.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
108.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
36.0ms	(* (* (* y 4.0) (- z)) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	294	433
1	1491	369
2	5002	346

prune184.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series841.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt z) (cbrt z))
200.0ms	(cbrt z)
211.0ms	(cbrt z)
202.0ms	(cbrt z)

simplify113.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune344.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	27	8
2	36	8
3	36	8

end0.0ms

sample909.0ms

Algorithm

intervals

Results

494.0ms

15909×

body

valid