Details

Time bar (total: 6.6s)

sample25.0ms

Algorithm
intervals
Results
12.0ms380×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log add-cbrt-cube
associate-*l*
expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
11.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* d1 (- d4 d1))
50.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify33.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0213430
1888283
25002273

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
0.0b
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
0.6b
(cbrt d4)
0.7b
(pow (cbrt d4) 3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
cbrt-prod add-cbrt-cube
unpow-prod-down cube-prod
prod-exp
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
pow-unpow associate-*r* pow-prod-down cbrt-unprod
pow-pow pow1/3
cube-mult pow-to-exp flip3-+ 1-exp unpow3 associate-*l* pow-exp *-commutative flip-+ fma-udef rem-cube-cbrt sqr-pow
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
30.0ms
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
0.0ms
(cbrt d4)
2.0ms
(pow (cbrt d4) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
759.0ms
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
53.0ms
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
185.0ms
(cbrt d4)
226.0ms
(pow (cbrt d4) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0330483
11932369
25001367

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt d4) 3)
1.5b
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
1.5b
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
1.5b
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
pow1 add-exp-log
expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
pow-pow
cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 71
Calls
4 calls:
2.0ms
(pow (cbrt d4) 3)
0.0ms
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
0.0ms
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
1.0ms
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))

series3.4s

Counts
4 → 12
Calls
4 calls:
233.0ms
(pow (cbrt d4) 3)
987.0ms
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
1.2s
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))
1000.0ms
(cbrt (fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02491007
11029899
25001847

prune360.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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
094
194

end0.0ms

sample691.0ms

Algorithm
intervals
Results
399.0ms11980×body80valid