Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

487×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (84.0ms)

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: 4.6b

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))))
4.3b	(* (* y 4.0) (- t (* z z)))

rewrite16.0ms

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:

2.0ms	(- t (* z z))
0.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
11.0ms	(* (* y 4.0) (- t (* z z)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- t (* z z))
93.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
87.0ms	(* (* y 4.0) (- t (* z z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

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

prune210.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
8.1b	(* (* y 4.0) (- (* z z)))

rewrite10.0ms

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:

0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
9.0ms	(* (* y 4.0) (- (* z z)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
44.0ms	(* (* y 4.0) (- (* z z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (37.0ms)

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

prune141.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
25.0ms	(* (* (* y 4.0) (- z)) z)

series139.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
40.0ms	(* (* (* y 4.0) (- z)) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	212	279
1	1093	231
2	5002	225

prune137.0ms

Pruning

8 alts after pruning (7 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)))
21.5b	(cbrt (* (* (* y 4.0) (- z)) z))
21.5b	(cbrt (* (* (* y 4.0) (- z)) z))
21.5b	(cbrt (* (* (* y 4.0) (- z)) z))

rewrite85.0ms

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:

14.0ms	(* (cbrt (* (* (* y 4.0) (- z)) z)) (cbrt (* (* (* y 4.0) (- z)) z)))
22.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
25.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
22.0ms	(cbrt (* (* (* y 4.0) (- z)) z))

series554.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (* (* (* y 4.0) (- z)) z)) (cbrt (* (* (* y 4.0) (- z)) z)))
137.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
128.0ms	(cbrt (* (* (* y 4.0) (- z)) z))
120.0ms	(cbrt (* (* (* y 4.0) (- z)) z))

simplify135.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	234	671
1	791	588
2	3912	515
3	5001	509

prune335.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes334.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.1s

Algorithm

intervals

Results

713.0ms

15841×

body

valid