Details

Time bar (total: 4.2s)

sample26.0ms

Algorithm
intervals
Results
8.0ms296×body80nan
6.0ms270×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

prune4.0ms

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:
0.0ms
(fma (sqrt x) y (- 1.0 x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (sqrt x) y (- 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune38.0ms

Pruning

4 alts after pruning (3 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)))
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))) (cbrt (fma (sqrt x) y (- 1.0 x))))

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:
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
6.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
135.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
133.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify110.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0238888
1762823
23359765
35002747

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
43×cbrt-prod
25×pow1 add-cube-cbrt *-un-lft-identity
19×pow1/3
16×swap-sqr associate-*r* associate-*l*
12×unswap-sqr
10×add-exp-log
6×pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 133
Calls
4 calls:
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
6.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))
8.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
5.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
134.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))
129.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
127.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03471834
111701645
250021414

prune478.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
56×cbrt-prod
32×pow1 add-cube-cbrt *-un-lft-identity
24×pow1/3
22×swap-sqr associate-*r* associate-*l*
16×unswap-sqr
12×add-exp-log
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 expm1-log1p-u pow-plus prod-exp *-commutative add-cbrt-cube cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 162
Calls
4 calls:
6.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))
5.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
5.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
6.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))) (cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))))
135.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
128.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
133.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify157.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
02692174
19581956
246271661
350011649

prune497.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

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

sample626.0ms

Algorithm
intervals
Results
183.0ms8560×body80valid
172.0ms8468×body80nan