Details

Time bar (total: 1.9s)

sample25.0ms

Algorithm
intervals
Results
12.0ms389×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 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:
11.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* d1 (- d4 d1))
54.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify38.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0213430
1888283
25002273

prune100.0ms

Filtered
62 candidates to 33 candidates (53.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×pow1 add-exp-log distribute-lft-neg-out add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ fma-udef
Counts
2 → 26
Calls
2 calls:
3.0ms
(+ (* d1 d4) (* (- d1) d1))
0.0ms
(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* d1 d4) (* (- d1) d1))
50.0ms
(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

simplify73.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0137198
1518166
22557151
35001146

prune81.0ms

Filtered
32 candidates to 26 candidates (81.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- d2 d3) d1 (/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1)))
5.1b
(* d1 (- (* d4 d4) (* d1 d1)))
16.8b
(/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1))

rewrite27.0ms

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-*r/ associate-*r* associate-/r*
3×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg flip3-- div-exp prod-diff 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 → 68
Calls
3 calls:
0.0ms
(fma (- d2 d3) d1 (/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1)))
11.0ms
(* d1 (- (* d4 d4) (* d1 d1)))
14.0ms
(/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1))

series209.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(fma (- d2 d3) d1 (/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1)))
47.0ms
(* d1 (- (* d4 d4) (* d1 d1)))
69.0ms
(/ (* d1 (- (* d4 d4) (* d1 d1))) (+ d4 d1))

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0325555
11717472
25001464

prune193.0ms

Filtered
77 candidates to 56 candidates (72.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

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

sample692.0ms

Algorithm
intervals
Results
392.0ms11967×body80valid