Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
10.0ms402×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144
1303
2863
32903
48033
514513
634573
750013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- t x) (- y z) 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 (- t x) (- y z) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (- t x) (- y z) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
04963
111455
234655
3157054
4500354

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- t x) (- y z) x)
0.1b
(sqrt (fma (- t x) (- y z) x))
0.1b
(sqrt (fma (- t x) (- y z) x))
0.3b
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- t x) (- y z) x)
4.0ms
(sqrt (fma (- t x) (- y z) x))
1.0ms
(sqrt (fma (- t x) (- y z) x))
13.0ms
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (- t x) (- y z) x)
203.0ms
(sqrt (fma (- t x) (- y z) x))
205.0ms
(sqrt (fma (- t x) (- y z) x))
46.0ms
(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

simplify172.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (163.0ms)

IterNodesCost
0219623
1772545
24347519
35001509

prune221.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (- t x) (- y z) x)))
0.1b
(sqrt (sqrt (fma (- t x) (- y z) x)))
0.3b
(* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x))))
0.3b
(* (sqrt (fma (- t x) (- y z) x)) (* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-pow1 sqrt-prod
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r*
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 167
Calls
4 calls:
2.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
2.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
23.0ms
(* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x))))
46.0ms
(* (sqrt (fma (- t x) (- y z) x)) (* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x)))))

series882.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
310.0ms
(sqrt (sqrt (fma (- t x) (- y z) x)))
217.0ms
(* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x))))
48.0ms
(* (sqrt (fma (- t x) (- y z) x)) (* (sqrt (sqrt (fma (- t x) (- y z) x))) (sqrt (sqrt (fma (- t x) (- y z) x)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04251201
114811026
25003990

prune325.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y t (- x (* x y)))
0.0b
(- x (* x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma y t (- x (* x y)))
6.0ms
(- x (* x y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(fma y t (- x (* x y)))
38.0ms
(- x (* x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0114154
1380135
22011129
35001115

prune83.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

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
073

end0.0ms

sample657.0ms

Algorithm
intervals
Results
266.0ms12204×body80valid