Details

Time bar (total: 2.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms317×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1504
21484
33184
44734
54854
64854

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma d1 d2 (* (+ d3 5.0) d1))
0.0b
(* (+ d3 5.0) d1)
0.0b
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*l*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l/ fma-udef
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma d1 d2 (* (+ d3 5.0) d1))
21.0ms
(* (+ d3 5.0) d1)
0.0ms
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma d1 d2 (* (+ d3 5.0) d1))
32.0ms
(* (+ d3 5.0) d1)
48.0ms
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify56.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0157218
1553192
22658192
35001192

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify118.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03258
19751
253651
3383651
4500151

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
0.0b
(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
4.0b
(* (+ (pow d3 3) (pow 5.0 3)) d1)
14.2b
(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l* add-log-exp
8×add-cube-cbrt
6×pow1
5×distribute-lft-out
4×expm1-log1p-u unpow-prod-down flip3-+ cube-prod associate-*l/ flip-+ log1p-expm1-u
3×associate-+r+ times-frac associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-log associate-/r/ cbrt-unprod associate-/l/
1×+-commutative associate-+r- sub-neg fma-def frac-2neg diff-log prod-diff pow-prod-down clear-num sum-cubes *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 84
Calls
4 calls:
19.0ms
(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
0.0ms
(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
72.0ms
(* (+ (pow d3 3) (pow 5.0 3)) d1)
56.0ms
(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

series284.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
140.0ms
(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
40.0ms
(* (+ (pow d3 3) (pow 5.0 3)) d1)
83.0ms
(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0409853
11911721
25001701

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ d3 5.0) d1)
0.0b
(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
0.3b
(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
35.8b
(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow associate-*r*
2×cube-mult unpow3 associate-*l/ sqr-pow
1×pow-to-exp pow-pow flip3-+ pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod flip-+ fma-udef distribute-lft-out rem-cube-cbrt unswap-sqr
Counts
4 → 81
Calls
4 calls:
19.0ms
(* (+ d3 5.0) d1)
0.0ms
(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
2.0ms
(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
2.0ms
(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

series190.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (+ d3 5.0) d1)
50.0ms
(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
73.0ms
(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
38.0ms
(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0295523
11247476
25001468

prune211.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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

sample572.0ms

Algorithm
intervals
Results
277.0ms10044×body80valid
4.0ms12×body320valid
2.0ms23×body640valid
1.0ms11×body1280valid
0.0ms6×body160valid