Details

Time bar (total: 3.5s)

sample32.0ms

Algorithm
intervals
Results
16.0ms452×body80valid

simplify16.0ms

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: 19.3b

localize9.0ms

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))

rewrite9.0ms

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)))
8.0ms
(/ (* x x) (* y y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
33.0ms
(/ (* x x) (* y y))

simplify94.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune104.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
11.0ms
(* (/ x y) (/ x y))

series132.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
29.0ms
(* (/ x y) (/ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0375521
11788441
25001391

prune248.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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)))

series142.0ms

Counts
1 → 3
Calls
1 calls:
142.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune110.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
0.7b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.4b
(sqrt (hypot (/ z t) (/ x y)))
1.4b
(sqrt (hypot (/ z t) (/ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*r*
16×unpow-prod-down cube-prod
12×unswap-sqr
10×add-exp-log
9×pow1
7×add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow-pow sqrt-pow1 pow1/2 prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
10.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
3.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
187.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
96.0ms
(sqrt (hypot (/ z t) (/ x y)))
97.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
02121075
11034804
25002723

prune298.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes396.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0129
1129

end0.0ms

sample922.0ms

Algorithm
intervals
Results
548.0ms15358×body80valid