Details

Time bar (total: 4.2s)

sample72.0ms

Algorithm
intervals
Results
53.0ms502×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.9b
(/ (* x x) (* y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
6.0ms
(/ (* x x) (* y y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
32.0ms
(/ (* x x) (* y y))

simplify96.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune120.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube
3×swap-sqr associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef unswap-sqr
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
10.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune135.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
0.2b
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
0.3b
(pow (fabs (/ x y)) 3/2)
10.9b
(sqrt (fabs (/ x y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log
9×sqrt-prod
8×unpow-prod-down
7×pow1 associate-*l*
6×associate-*r* add-cbrt-cube unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow prod-exp
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp pow-prod-up
1×rem-sqrt-square pow-pow *-commutative cbrt-unprod fma-udef
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
9.0ms
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
1.0ms
(pow (fabs (/ x y)) 3/2)
1.0ms
(sqrt (fabs (/ x y)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
10.0ms
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
53.0ms
(pow (fabs (/ x y)) 3/2)
10.0ms
(sqrt (fabs (/ x y)))

simplify120.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0180666
1631621
23383609
35002545

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (fabs (/ x y)) 3/4) (pow (fabs (/ x y)) 3/4))
4.9b
(pow (fabs (/ x y)) 3/4)
4.9b
(pow (fabs (/ x y)) 3/4)
10.9b
(sqrt (fabs (/ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×unpow-prod-down
18×add-exp-log
17×add-cube-cbrt *-un-lft-identity
12×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp
7×pow1 swap-sqr associate-*r* associate-*l*
6×pow-unpow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow-pow
1×pow2 rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down pow-sqr *-commutative pow-prod-up cbrt-unprod
Counts
4 → 107
Calls
4 calls:
10.0ms
(* (pow (fabs (/ x y)) 3/4) (pow (fabs (/ x y)) 3/4))
1.0ms
(pow (fabs (/ x y)) 3/4)
2.0ms
(pow (fabs (/ x y)) 3/4)
1.0ms
(sqrt (fabs (/ x y)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (pow (fabs (/ x y)) 3/4) (pow (fabs (/ x y)) 3/4))
46.0ms
(pow (fabs (/ x y)) 3/4)
53.0ms
(pow (fabs (/ x y)) 3/4)
10.0ms
(sqrt (fabs (/ x y)))

simplify155.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0162705
1697651
24311636
35001631

prune343.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes251.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s15591×body80valid