Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
18.0ms328×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1243
2403
3643
4843
51023
61283
71773
82723
95083
107363
117543
127563
137563

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x y (* (- 1.0 x) z))
10.0ms
(* (- 1.0 x) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(fma x y (* (- 1.0 x) z))
28.0ms
(* (- 1.0 x) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131158
1458135
22209135
35001135

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
19.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))

series373.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
88.0ms
(cbrt (- 1.0 x))
87.0ms
(cbrt (- 1.0 x))
88.0ms
(cbrt (- 1.0 x))

simplify141.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0330874
11068833
24669779
35001775

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
4.1b
(* (- (* 1.0 1.0) (* x x)) z)
5.7b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ fma-udef div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
0.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
10.0ms
(* (- (* 1.0 1.0) (* x x)) z)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series222.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
49.0ms
(* (- (* 1.0 1.0) (* x x)) z)
82.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0322509
11510434
25002421

prune174.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample682.0ms

Algorithm
intervals
Results
473.0ms10104×body80valid