Details

Time bar (total: 4.6s)

sample29.0ms

Algorithm
intervals
Results
13.0ms378×body80valid

simplify100.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
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)))

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
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:
12.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* d1 (- d4 d1))
55.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0213430
1888283
25002273

prune104.0ms

Filtered
62 candidates to 33 candidates (53.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)
0.9b
(pow (cbrt d4) 3)

rewrite36.0ms

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:
31.0ms
(* (* (+ (* 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))))
0.0ms
(cbrt d4)
2.0ms
(pow (cbrt d4) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1)
770.0ms
(fma (- d2 d3) d1 (+ (* (* (+ (* 1 (pow (cbrt d4) 3)) (- d1)) 1) d1) (* d1 (fma (- d1) 1 d1))))
178.0ms
(cbrt d4)
225.0ms
(pow (cbrt d4) 3)

simplify68.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0330483
11932369
25001363

prune268.0ms

Filtered
90 candidates to 60 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))) (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))))
2.0b
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
2.0b
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
2.0b
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))

rewrite9.0ms

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:
6.0ms
(* (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))) (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))))
0.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
0.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
1.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))

series1.3s

Counts
4 → 12
Calls
4 calls:
436.0ms
(* (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))) (cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1)))))
292.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
298.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))
289.0ms
(cbrt (fma (- d2 d3) d1 (* d1 (- d4 d1))))

simplify74.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02381002
1786917
23106789
35001770

prune264.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (- d4 (+ d3 d1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×prod-diff
21×add-sqr-sqrt
17×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
7×distribute-lft-out
6×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/ distribute-lft-out--
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
34.0ms
(* d1 (- d4 (+ d3 d1)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (- d4 (+ d3 d1)))

simplify34.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0213566
1890366
25002318

prune54.0ms

Filtered
56 candidates to 21 candidates (37.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes85.0ms

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

sample721.0ms

Algorithm
intervals
Results
430.0ms11900×body80valid