Details

Time bar (total: 2.9s)

sample31.0ms

Algorithm
intervals
Results
16.0ms452×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.6b
(/ (* x x) (* y y))

rewrite8.0ms

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:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
6.0ms
(/ (* x x) (* y y))

series130.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
31.0ms
(/ (* x x) (* y y))

simplify89.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune99.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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:
1.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
4.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
8.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune128.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×hypot-udef
3×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
1×pow2 expm1-log1p-u pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
4.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series126.0ms

Counts
1 → 3
Calls
1 calls:
126.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune89.0ms

Pruning

12 alts after pruning (11 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) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
0.2b
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.3b
(pow (fabs (/ x y)) 3/2)
9.6b
(sqrt (fabs (/ x y)))

rewrite15.0ms

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-*r*
6×associate-*l* 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:
1.0ms
(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
6.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
2.0ms
(pow (fabs (/ x y)) 3/2)
1.0ms
(sqrt (fabs (/ x y)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma (/ z t) (/ z t) (* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2)))
8.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
40.0ms
(pow (fabs (/ x y)) 3/2)
8.0ms
(sqrt (fabs (/ x y)))

simplify111.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0177672
1615625
22851613
35001545

prune245.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

regimes560.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087

end0.0ms

sample918.0ms

Algorithm
intervals
Results
548.0ms15358×body80valid