Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify36.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
20.0ms
(* (- 1.0 x) z)
0.0ms
(fma x y (* (- 1.0 x) z))

series68.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131158
1458135
22209135
35001135

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
26.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
8.0ms
(cbrt (* (- 1.0 x) z))
7.0ms
(cbrt (* (- 1.0 x) z))
10.0ms
(cbrt (* (- 1.0 x) z))

series411.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
97.0ms
(cbrt (* (- 1.0 x) z))
94.0ms
(cbrt (* (- 1.0 x) z))
94.0ms
(cbrt (* (- 1.0 x) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0384909
11242852
25002799

prune288.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b
(* (- (* 1.0 1.0) (* x x)) z)
5.7b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite53.0ms

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)))
27.0ms
(* (- (* 1.0 1.0) (* x x)) z)
23.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series156.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
43.0ms
(* (- (* 1.0 1.0) (* x x)) z)
56.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0322509
11510434
25002421

prune157.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample486.0ms

Algorithm
intervals
Results
219.0ms10085×body80valid