Details

Time bar (total: 3.9s)

sample22.0ms

Algorithm
intervals
Results
6.0ms272×body80valid
5.0ms286×body80nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

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))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (sqrt x) y (- 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b
(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))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
133.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
125.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0238888
1762823
23359765
35002747

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(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 (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×cbrt-prod
21×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 108
Calls
4 calls:
0.0ms
(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))))
3.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
125.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
124.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
130.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify137.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
03161267
19951161
243591055
350011043

prune376.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (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))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
52×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
18×pow1
15×swap-sqr associate-*r* associate-*l*
14×pow1/3
13×unswap-sqr
8×add-exp-log
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
9.0ms
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (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))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
142.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
127.0ms
(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))
132.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify52.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03691598
112591496
250011344

prune409.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample591.0ms

Algorithm
intervals
Results
176.0ms8534×body80valid
161.0ms8496×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid