Details

Time bar (total: 4.6s)

sample32.0ms

Algorithm
intervals
Results
14.0ms279×body80valid
3.0ms72×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1457
2677
3947
41157
51157

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* z z) (* t a))
5.9b
(* (* x y) z)
9.3b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
24.3b
(sqrt (- (* z z) (* t a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×sqrt-prod
6×times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
4×sqrt-div
3×cbrt-undiv flip3-- div-exp associate-*r* pow-prod-down flip--
2×associate-/r/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
5.0ms
(* (* x y) z)
13.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
(sqrt (- (* z z) (* t a)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* z z) (* t a))
24.0ms
(* (* x y) z)
85.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
58.0ms
(sqrt (- (* z z) (* t a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0346584
11863515
25002510

prune219.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 3.6b

Counts
89 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.6b
(- (* z z) (* t a))
3.5b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
24.3b
(sqrt (- (* z z) (* t a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
24×associate-*r* sqrt-prod
18×add-exp-log add-cbrt-cube
10×pow1
6×sqrt-div prod-exp associate-/r* cbrt-unprod add-log-exp
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×div-inv
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 112
Calls
4 calls:
6.0ms
(/ z (sqrt (- (* z z) (* t a))))
3.0ms
(- (* z z) (* t a))
11.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
3.0ms
(sqrt (- (* z z) (* t a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ z (sqrt (- (* z z) (* t a))))
36.0ms
(- (* z z) (* t a))
83.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
64.0ms
(sqrt (- (* z z) (* t a)))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04311015
12166912
25002893

prune250.0ms

Filtered
124 candidates to 82 candidates (66.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh099
Picked011
Done000
Total12212134

Merged error: 3.6b

Counts
134 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* z z) (* t a))
1.7b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
2.2b
(* y (/ z (sqrt (- (* z z) (* t a)))))
24.3b
(sqrt (- (* z z) (* t a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
18×add-exp-log add-cbrt-cube
13×sqrt-prod
12×pow1
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×sqrt-div pow-prod-down
3×flip3-- associate-*r/ flip-- unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-inv
Counts
4 → 92
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
10.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
11.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
4.0ms
(sqrt (- (* z z) (* t a)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* z z) (* t a))
82.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
56.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
60.0ms
(sqrt (- (* z z) (* t a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0403775
11781676
25001667

prune214.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh01010
Picked011
Done011
Total10412116

Merged error: 3.6b

Counts
116 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ (/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z)) (sqrt (cbrt (- (* z z) (* t a)))))
5.9b
(/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z))
25.1b
(cbrt (- (* z z) (* t a)))
25.1b
(cbrt (- (* z z) (* t a)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
413×times-frac
157×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
114×sqrt-prod
63×cbrt-prod
34×add-exp-log add-cbrt-cube
24×div-inv
22×associate-/r*
19×associate-/l*
17×cbrt-undiv div-exp
13×associate-/r/
6×cbrt-div
4×pow1 prod-exp cbrt-unprod add-log-exp
3×flip3-- flip--
2×frac-2neg pow1/3 sqrt-div clear-num
1×associate-/l/
Counts
4 → 284
Calls
4 calls:
16.0ms
(/ (/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z)) (sqrt (cbrt (- (* z z) (* t a)))))
6.0ms
(/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z))
3.0ms
(cbrt (- (* z z) (* t a)))
3.0ms
(cbrt (- (* z z) (* t a)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(/ (/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z)) (sqrt (cbrt (- (* z z) (* t a)))))
67.0ms
(/ (* x y) (/ (fabs (cbrt (- (* z z) (* t a)))) z))
85.0ms
(cbrt (- (* z z) (* t a)))
86.0ms
(cbrt (- (* z z) (* t a)))

simplify87.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012616499
150016166

prune880.0ms

Filtered
296 candidates to 223 candidates (75.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2933296
Fresh459
Picked011
Done022
Total29711308

Merged error: 3.6b

Counts
308 → 11

regimes400.0ms

Accuracy

76.7% (4.5b remaining)

Error of 8.0b against oracle of 3.4b and baseline of 22.8b

bsearch94.0ms

Steps
ItersRangePoint
9
4.5418805312590315e+84
1.0915535352690582e+92
6.86640182930296e+84
8
-3.435885906476597e+114
-1.333018747280528e+112
-2.939191418457513e+112

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
13310
23310

end0.0ms

sample973.0ms

Algorithm
intervals
Results
458.0ms8827×body80valid
155.0ms2948×body80nan

Profiling

Loading profile data...