Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
7.0ms324×body80nan
6.0ms286×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) y (- 1.0 x))

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:
1.0ms
(fma (sqrt x) y (- 1.0 x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (sqrt x) y (- 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))

rewrite14.0ms

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:
5.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
5.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
132.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
142.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
135.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0238888
1755823
23353765
35001747

prune273.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
2.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
2.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
8.0ms
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
136.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
138.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
130.0ms
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
02651420
18121341
235261243
350031215

prune384.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.4b
(cbrt (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 62
Calls
4 calls:
5.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
2.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
4.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
2.0ms
(cbrt (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
136.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
132.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
136.0ms
(cbrt (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0309815
1760759
22610751
35002739

prune506.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample643.0ms

Algorithm
intervals
Results
194.0ms8540×body80valid
174.0ms8565×body80nan