Details

Time bar (total: 2.8s)

sample36.0ms

Algorithm
intervals
Results
20.0ms504×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
23.6b
(/ (* 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))

series131.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms
(/ (* x x) (* y y))

simplify92.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune104.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

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)))

rewrite4.0ms

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)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
8.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune117.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

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)
8.7b
(sqrt (fabs (/ x y)))

rewrite12.0ms

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)))))
7.0ms
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
1.0ms
(pow (fabs (/ x y)) 3/2)
1.0ms
(sqrt (fabs (/ x y)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(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))))
48.0ms
(pow (fabs (/ x y)) 3/2)
9.0ms
(sqrt (fabs (/ x y)))

simplify110.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0180666
1631621
23383609
35002545

prune286.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2)) (sqrt (fabs (/ x y))))
0.2b
(* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2))
8.7b
(pow (fabs (/ x y)) 1/2)
8.7b
(sqrt (fabs (/ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
18×add-sqr-sqrt
13×associate-*r*
12×pow1 add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
7×unpow-prod-down
6×sqrt-prod
5×pow-prod-up
4×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow pow-exp unswap-sqr sqr-pow
2×sqrt-pow1 pow1/2 *-commutative
1×rem-sqrt-square pow-pow pow-prod-down unpow1/2
Counts
4 → 89
Calls
4 calls:
11.0ms
(* (* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2)) (sqrt (fabs (/ x y))))
6.0ms
(* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2))
1.0ms
(pow (fabs (/ x y)) 1/2)
1.0ms
(sqrt (fabs (/ x y)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2)) (sqrt (fabs (/ x y))))
24.0ms
(* (fabs (/ x y)) (pow (fabs (/ x y)) 1/2))
48.0ms
(pow (fabs (/ x y)) 1/2)
9.0ms
(sqrt (fabs (/ x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0225671
1939480
25002450

prune274.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes284.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098

end0.0ms

sample972.0ms

Algorithm
intervals
Results
567.0ms15580×body80valid