Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1243
2403
3663
4863
5973
61183
71593
82443
94423
106263
116913
127383
137653
147653

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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:
1.0ms
(fma x y (* (- x 1.0) z))
6.0ms
(* (- x 1.0) z)

series65.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(fma x y (* (- x 1.0) z))
32.0ms
(* (- x 1.0) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0133158
1462135
22228135
35001135

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.0b
(* (- (* x x) (* 1.0 1.0)) z)
5.0b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite18.0ms

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:
1.0ms
(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series158.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
39.0ms
(* (- (* x x) (* 1.0 1.0)) z)
59.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0325510
11502435
25001421

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
8.5b
(cbrt (- (* x x) (* 1.0 1.0)))
8.5b
(cbrt (- (* x x) (* 1.0 1.0)))
8.5b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
26×associate-/l/
22×add-exp-log
16×add-cbrt-cube
13×*-un-lft-identity
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
8×associate-*r/ prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×pow1/3 difference-of-squares
2×associate-/r/ distribute-lft-out
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
23.0ms
(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
6.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
186.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
187.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
180.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05211736
122891447
250011355

prune472.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* x x) 3)
1.0b
(* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z)
5.0b
(/ (/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0))))) (+ x 1.0))
15.7b
(/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×*-un-lft-identity
39×add-sqr-sqrt
29×add-cube-cbrt
23×add-exp-log add-cbrt-cube
21×associate-*l*
16×difference-of-squares
14×pow1 associate-/r/
10×distribute-lft-out associate-/l*
9×unpow-prod-down cube-prod sqr-pow
7×cbrt-undiv flip3-+ div-exp associate-/r* flip-+ div-inv
6×pow-pow
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-/l/
2×flip3-- frac-2neg pow-prod-down pow-exp clear-num flip-- rem-cube-cbrt
1×difference-cubes pow2 cube-mult pow-to-exp pow-plus unpow3 pow-sqr *-commutative pow-prod-up distribute-lft-out-- unswap-sqr
Counts
4 → 165
Calls
4 calls:
7.0ms
(pow (* x x) 3)
12.0ms
(* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z)
30.0ms
(/ (/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0))))) (+ x 1.0))
26.0ms
(/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (* x x) 3)
40.0ms
(* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z)
113.0ms
(/ (/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0))))) (+ x 1.0))
104.0ms
(/ (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))))

simplify155.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
07373283
141742822
250012820

prune637.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample428.0ms

Algorithm
intervals
Results
234.0ms10141×body80valid