Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

528×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (83.0ms)

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: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
5.9b	(* (* y 4.0) (- t (* z z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
28.0ms	(* (* y 4.0) (- t (* z z)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
73.0ms	(* (* y 4.0) (- t (* z z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	252	340
1	1165	287
2	5002	282

prune120.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

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)))))
9.2b	(* (* y 4.0) (- (* z z)))

rewrite41.0ms

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:

18.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
21.0ms	(* (* y 4.0) (- (* z z)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
91.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
34.0ms	(* (* y 4.0) (- (* z z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (57.0ms)

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

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))
0.1b	(* (* (* y 4.0) z) (- z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

20.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))))
54.0ms	(* (* (* y 4.0) z) (- z))

series213.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
91.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))))
34.0ms	(* (* (* y 4.0) z) (- z))

simplify74.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	328	463
1	1725	399
2	5002	372

prune184.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
23.6b	(cbrt (* (* (* y 4.0) z) (- z)))
23.6b	(cbrt (* (* (* y 4.0) z) (- z)))
23.6b	(cbrt (* (* (* y 4.0) z) (- z)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

51.0ms	(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
45.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
45.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
47.0ms	(cbrt (* (* (* y 4.0) z) (- z)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
117.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
120.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
123.0ms	(cbrt (* (* (* y 4.0) z) (- z)))

simplify129.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	234	671
1	791	588
2	3853	515
3	5001	508

prune288.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample946.0ms

Algorithm

intervals

Results

439.0ms

15922×

body

valid