Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

511×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (85.0ms)

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: 5.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
5.5b	(* (* y 4.0) (- t (* z z)))

rewrite13.0ms

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:

1.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
3.0ms	(- t (* z z))
7.0ms	(* (* y 4.0) (- t (* z z)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
35.0ms	(- t (* z z))
82.0ms	(* (* y 4.0) (- t (* z z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

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

prune193.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
10.2b	(* (* y 4.0) (- (* z z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `associate-l` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
10.0ms	(* (* y 4.0) (- (* z z)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
33.0ms	(* (* y 4.0) (- (* z z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	186	266
1	964	224
2	5002	215

prune115.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))))
0.1b	(* (* (* y 4.0) z) (- z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 41

Calls

2 calls:

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

series132.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))))
36.0ms	(* (* (* y 4.0) z) (- z))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	246	309
1	1316	261
2	5001	255

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
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 → 125

Calls

4 calls:

10.0ms	(* (cbrt (- z)) (cbrt (- z)))
2.0ms	(cbrt (- z))
2.0ms	(cbrt (- z))
2.0ms	(cbrt (- z))

series841.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (- z)) (cbrt (- z)))
203.0ms	(cbrt (- z))
199.0ms	(cbrt (- z))
207.0ms	(cbrt (- z))

simplify92.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	154	726
1	552	685
2	2895	633
3	5001	611

prune672.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	23	8
2	29	8
3	35	8
4	35	8

end0.0ms

sample868.0ms

Algorithm

intervals

Results

485.0ms

15616×

body

valid