Details

Time bar (total: 3.5s)

sample42.0ms

Algorithm
intervals
Results
14.0ms283×body80valid
4.0ms94×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1457
2677
3947
41157
51157

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* z z) (* t a))
5.1b
(* (* x y) z)
7.2b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
24.0b
(sqrt (- (* z z) (* t a)))

rewrite25.0ms

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))
7.0ms
(* (* x y) z)
9.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
(sqrt (- (* z z) (* t a)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* z z) (* t a))
6.0ms
(* (* x y) z)
30.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0343583
11850515
25003510

prune142.0ms

Filtered
88 candidates to 60 candidates (31.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New761288
Fresh000
Picked101
Done000
Total771289

Merged error: 2.0b

Counts
89 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.4b
(- (* z z) (* t a))
2.5b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
24.0b
(sqrt (- (* z z) (* t a)))

rewrite27.0ms

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)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ z (sqrt (- (* z z) (* t a))))
7.0ms
(- (* z z) (* t a))
32.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04281014
12153912
25002894

prune136.0ms

Filtered
124 candidates to 81 candidates (34.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1213124
Fresh4711
Picked011
Done000
Total12511136

Merged error: 1.7b

Counts
136 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* z z) (* t a))
1.5b
(* y (/ z (sqrt (- (* z z) (* t a)))))
2.2b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
24.0b
(sqrt (- (* z z) (* t a)))

rewrite35.0ms

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:
4.0ms
(- (* z z) (* t a))
14.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
10.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
4.0ms
(sqrt (- (* z z) (* t a)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* z z) (* t a))
19.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
30.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
13.0ms
(sqrt (- (* z z) (* t a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0400774
11768676
25001668

prune123.0ms

Filtered
104 candidates to 67 candidates (35.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh369
Picked101
Done011
Total10510115

Merged error: 1.7b

Counts
115 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

13.5b
(cbrt (* x (* y (/ z (sqrt (- (* z z) (* t a)))))))
24.0b
(sqrt (- (* z z) (* t a)))
24.0b
(sqrt (- (* z z) (* t a)))
24.0b
(sqrt (- (* z z) (* t a)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
2×associate-*r/
1×cbrt-prod cbrt-div pow1/3
Counts
4 → 55
Calls
4 calls:
8.0ms
(cbrt (* x (* y (/ z (sqrt (- (* z z) (* t a)))))))
4.0ms
(sqrt (- (* z z) (* t a)))
4.0ms
(sqrt (- (* z z) (* t a)))
4.0ms
(sqrt (- (* z z) (* t a)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (* x (* y (/ z (sqrt (- (* z z) (* t a)))))))
14.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify76.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0284501
1856475
23290459
35001453

prune80.0ms

Filtered
67 candidates to 57 candidates (14.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh088
Picked011
Done011
Total671077

Merged error: 1.7b

Counts
77 → 10

regimes888.0ms

Accuracy

84.4% (3.0b remaining)

Error of 6.4b against oracle of 3.4b and baseline of 22.5b

bsearch89.0ms

Steps
ItersRangePoint
7
1.5494170935670469e+103
4.22363782984342e+104
1.1479527159731567e+104
9
-7.175510917310391e+160
-1.0164897572327541e+154
-1.1207916502461564e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
13110
23110

end0.0ms

sample1.3s

Algorithm
intervals
Results
469.0ms8907×body80valid
145.0ms2931×body80nan

Profiling

Loading profile data...