Details

Time bar (total: 3.7s)

sample51.0ms

Algorithm
intervals
Results
22.0ms492×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune5.0ms

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series37.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0269322
11276286
25001281

prune133.0ms

Filtered
47 candidates to 29 candidates (38.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New39847
Fresh000
Picked101
Done000
Total40848

Merged error: 2.5b

Counts
48 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* y (* 4.0 (- (* z z) t))))
5.5b
(* y (* 4.0 (- (* z z) t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×distribute-rgt-in distribute-lft-in
9×sub-neg
8×associate--r+
7×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip--
1×diff-log associate-*r* *-commutative
Counts
2 → 48
Calls
2 calls:
5.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
8.0ms
(* y (* 4.0 (- (* z z) t)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
14.0ms
(* y (* 4.0 (- (* z z) t)))

simplify137.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0268359
1970323
24771321
35001321

prune120.0ms

Filtered
54 candidates to 29 candidates (46.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh167
Picked011
Done000
Total54862

Merged error: 2.5b

Counts
62 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(* (cbrt y) (* 4.0 (- (* z z) t)))
4.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
15.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
45.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
18.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04631015
11634738
25001611

prune336.0ms

Filtered
111 candidates to 56 candidates (49.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh336
Picked011
Done011
Total1136119

Merged error: 0.0b

Counts
119 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
0.0b
(+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0)))
0.2b
(* (* y z) (* 4.0 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-lft-neg-out add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity
2×diff-log unsub-neg sum-log associate--r-
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* associate-*l* *-commutative flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 52
Calls
3 calls:
7.0ms
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
7.0ms
(+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0)))
6.0ms
(* (* y z) (* 4.0 z))

series46.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
15.0ms
(+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0)))
10.0ms
(* (* y z) (* 4.0 z))

simplify55.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0315497
11478434
25001392

prune130.0ms

Filtered
61 candidates to 38 candidates (37.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New60161
Fresh123
Picked011
Done022
Total61667

Merged error: 0.0b

Counts
67 → 6

regimes898.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1269
2339
3339

end0.0ms

sample1.3s

Algorithm
intervals
Results
581.0ms15878×body80valid

Profiling

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