Details

Time bar (total: 3.8s)

sample27.0ms

Algorithm
intervals
Results
9.0ms303×body80nan
6.0ms266×body80valid

simplify20.0ms

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

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(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

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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)))

rewrite11.0ms

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

series556.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
147.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0238888
1755823
23353765
35001747

prune292.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
2.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
145.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms
(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify63.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0227602
1556564
21896556
35001520

prune300.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

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 (* (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))))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
15×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
9×pow1/3
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* 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 → 75
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(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))))))

series554.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
146.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
132.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
136.0ms
(* (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))))))

simplify97.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
02511154
17501023
23096920
35001896

prune288.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes87.0ms

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

sample646.0ms

Algorithm
intervals
Results
195.0ms8541×body80valid
177.0ms8586×body80nan