Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

482×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (79.0ms)

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: 6.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
6.4b	(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

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)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
39.0ms	(- t (* z z))
84.0ms	(* (* y 4.0) (- t (* z z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

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

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.9b

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)))))
9.6b	(* (* y 4.0) (- (* z z)))

rewrite13.0ms

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:

5.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
6.0ms	(* (* y 4.0) (- (* z z)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
96.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
34.0ms	(* (* y 4.0) (- (* z z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (54.0ms)

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

prune167.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)

rewrite15.0ms

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:

5.0ms	(+ (* (* 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)

series228.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
100.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
33.0ms	(* (* (* y 4.0) (- z)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (56.0ms)

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

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite28.0ms

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:

7.0ms	(* (cbrt (* (* (* y 4.0) (- z)) z)) (cbrt (* (* (* y 4.0) (- z)) z)))
8.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
6.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
6.0ms	(cbrt (* (* (* y 4.0) (- z)) z))

series495.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* (* (* y 4.0) (- z)) z)) (cbrt (* (* (* y 4.0) (- z)) z)))
113.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
113.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
115.0ms	(cbrt (* (* (* y 4.0) (- z)) z))

simplify123.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	234	671
1	791	588
2	3912	515
3	5001	508

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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	27	8
2	36	8
3	36	8

end0.0ms

sample849.0ms

Algorithm

intervals

Results

475.0ms

15709×

body

valid