Details

Time bar (total: 3.8s)

sample59.0ms

Algorithm
intervals
Results
44.0ms458×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize12.0ms

Local error

Found 2 expressions with local error:

20.1b
(/ (* x x) (* y y))
20.2b
(/ (* z z) (* t t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify31.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0285248
11335170
25001160

prune96.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
20.1b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
cbrt-undiv div-exp
swap-sqr associate-*r* associate-*l*
add-log-exp
pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
5.0ms
(/ (* x x) (* y y))

series36.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
29.0ms
(/ (* x x) (* y y))

simplify116.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0204263
1928199
24340182
35002176

prune112.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 50
Calls
2 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0118278
1476228
22256204
35001192

prune133.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.3b
(pow (fabs (/ x y)) 3/2)
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
10.8b
(sqrt (fabs (/ x y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×add-exp-log
10×associate-*r*
associate-*l* sqrt-prod
unpow-prod-down add-cbrt-cube
unswap-sqr
prod-exp add-log-exp sqr-pow
pow-unpow swap-sqr pow-prod-up
pow-to-exp sqrt-pow1 pow1/2 pow-exp *-commutative cbrt-unprod
pow2 rem-sqrt-square pow-pow pow-plus pow-prod-down pow-sqr
Counts
4 → 88
Calls
4 calls:
8.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
1.0ms
(pow (fabs (/ x y)) 3/2)
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ x y)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
42.0ms
(pow (fabs (/ x y)) 3/2)
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
8.0ms
(sqrt (fabs (/ x y)))

simplify138.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0202623
1822572
24082551
35001519

prune243.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

regimes502.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.6s15745×body80valid