Details

Time bar (total: 5.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms391×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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
5×associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ 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 → 56
Calls
2 calls:
21.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* d1 (- d4 d1))
48.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213430
1888283
25002273

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
9×cbrt-prod add-cbrt-cube
6×unpow-prod-down cube-prod
5×prod-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* pow-prod-down cbrt-unprod
2×pow-pow pow1/3
1×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:
63.0ms
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
0.0ms
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
1.0ms
(cbrt d4)
3.0ms
(pow (cbrt d4) 3)

series1.1s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
661.0ms
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
163.0ms
(cbrt d4)
202.0ms
(pow (cbrt d4) 3)

simplify68.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0330486
11932369
25002363

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series697.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt d1) (cbrt d1))
167.0ms
(cbrt d1)
167.0ms
(cbrt d1)
165.0ms
(cbrt d1)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune259.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- d2 d3) d1 (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
0.7b
(- (pow d4 3) (pow d1 3))
4.7b
(* d1 (- (pow d4 3) (pow d1 3)))
34.6b
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
432×prod-diff
277×add-sqr-sqrt
247×*-un-lft-identity
243×unpow-prod-down cube-prod
227×add-cube-cbrt
146×distribute-rgt-in distribute-lft-in
89×sqr-pow
73×cube-mult unpow3
32×difference-of-squares
25×associate-*r*
12×fma-neg
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
6×pow1 add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×difference-cubes cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 565
Calls
4 calls:
0.0ms
(fma (- d2 d3) d1 (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
29.0ms
(- (pow d4 3) (pow d1 3))
100.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
116.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(fma (- d2 d3) d1 (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
44.0ms
(- (pow d4 3) (pow d1 3))
58.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
94.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify220.0ms

Algorithm
egg-herbie
Counts
577 → 577
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
09136583
143344551
250014259

prune428.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes94.0ms

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

sample749.0ms

Algorithm
intervals
Results
366.0ms11920×body80valid