Details

Time bar (total: 3.1s)

sample38.0ms

Algorithm
intervals
Results
21.0ms486×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.9b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.7b
(/ (* 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)))
7.0ms
(/ (* x x) (* y y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify98.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune104.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh101
Picked101
Done000
Total33841

Merged error: 0.2b

Counts
41 → 8

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

series45.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune115.0ms

Filtered
43 candidates to 27 candidates (62.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New37643
Fresh347
Picked101
Done000
Total411051

Merged error: 0.1b

Counts
51 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
0.2b
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
0.3b
(pow (fabs (/ x y)) 3/2)
8.3b
(sqrt (fabs (/ x y)))

rewrite13.0ms

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:
6.0ms
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
1.0ms
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
2.0ms
(pow (fabs (/ x y)) 3/2)
2.0ms
(sqrt (fabs (/ x y)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y))))
32.0ms
(fma (/ z t) (/ z t) (* (pow (fabs (/ x y)) 3/2) (sqrt (fabs (/ x y)))))
43.0ms
(pow (fabs (/ x y)) 3/2)
9.0ms
(sqrt (fabs (/ x y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0180666
1631621
23383609
35002545

prune248.0ms

Filtered
91 candidates to 61 candidates (67.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh099
Picked011
Done000
Total9011101

Merged error: 0.1b

Counts
101 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (fabs (/ x y)) 3/2)
0.3b
(* (fabs (cbrt (fabs (/ x y)))) (sqrt (cbrt (fabs (/ x y)))))
8.8b
(cbrt (fabs (/ x y)))
8.8b
(cbrt (fabs (/ x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×cbrt-prod
9×associate-*r*
8×sqrt-prod
7×pow1 add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow associate-*l* unswap-sqr
2×pow1/3
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 73
Calls
4 calls:
2.0ms
(pow (fabs (/ x y)) 3/2)
9.0ms
(* (fabs (cbrt (fabs (/ x y)))) (sqrt (cbrt (fabs (/ x y)))))
1.0ms
(cbrt (fabs (/ x y)))
2.0ms
(cbrt (fabs (/ x y)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(pow (fabs (/ x y)) 3/2)
58.0ms
(* (fabs (cbrt (fabs (/ x y)))) (sqrt (cbrt (fabs (/ x y)))))
42.0ms
(cbrt (fabs (/ x y)))
43.0ms
(cbrt (fabs (/ x y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0164626
1569577
22059573
35002568

prune272.0ms

Filtered
85 candidates to 58 candidates (68.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh099
Picked011
Done011
Total841296

Merged error: 0.1b

Counts
96 → 12

regimes407.0ms

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 (1.0ms)

IterNodesCost
01310
11310

end0.0ms

sample929.0ms

Algorithm
intervals
Results
543.0ms15383×body80valid