Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

482×

body

valid

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (106.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize14.0ms

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)))

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:

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

series242.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
48.0ms	(- t (* z z))
84.0ms	(* (* y 4.0) (- t (* z z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (49.0ms)

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

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.9b

localize12.0ms

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)))

rewrite18.0ms

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)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
118.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
40.0ms	(* (* y 4.0) (- (* z z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (69.0ms)

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

prune202.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite18.0ms

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:

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))))
10.0ms	(* (* (* y 4.0) z) (- z))

series283.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
120.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z))))
46.0ms	(* (* (* y 4.0) z) (- z))

simplify83.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (77.0ms)

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

prune216.0ms

Pruning

5 alts after pruning (4 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)))

rewrite30.0ms

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:

9.0ms	(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
7.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
6.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
6.0ms	(cbrt (* (* (* y 4.0) z) (- z)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
139.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
138.0ms	(cbrt (* (* (* y 4.0) z) (- z)))
146.0ms	(cbrt (* (* (* y 4.0) z) (- z)))

simplify144.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (136.0ms)

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

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample909.0ms

Algorithm

intervals

Results

511.0ms

15709×

body

valid