Details

Time bar (total: 21.4s)

sample7.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 22.65625%

Guaranteed chance to sample good point: 7.496843%

Results
25.0ms256×body80valid
17.0ms179×body80nan

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0b
(/ (* z (sqrt (+ t a))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
flip3-- flip--
frac-times associate-*r/
associate-*r*
pow1 times-frac associate--r+ add-log-exp
flip3-+ sqrt-prod flip-+
cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series79.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010121260
150011212

prune229.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.7b

Counts
114 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.3b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
flip3-+ flip-+
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out associate--r+ add-log-exp
distribute-rgt-in sub-neg distribute-lft-in
pow1/3 associate--l+ div-inv
diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
21.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt t)
22.0ms
(cbrt t)
20.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
57.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
017543649
150023540

prune411.0ms

Filtered
144 candidates to 181 candidates (-25.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh033
Picked011
Done000
Total1814185

Merged error: 0.7b

Counts
185 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.2b
(log (exp (/ 2.0 (* t 3.0))))
3.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.0b
(/ (* z (sqrt (+ t a))) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
log-pow frac-sub
exp-prod flip3-- flip--
associate--r+ add-log-exp
pow1
cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
11.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series69.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
2.0ms
(log (exp (/ 2.0 (* t 3.0))))
47.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
18.0ms
(/ (* z (sqrt (+ t a))) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07631016
13784927
25001926

prune209.0ms

Filtered
79 candidates to 101 candidates (-27.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0.7b

Counts
105 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

3.4b
(- (* b b) (* c c))
5.7b
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
5.9b
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.3b
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
532×associate-*r/
326×frac-sub
248×frac-times
220×flip3-+ flip-+
168×sqrt-div
139×flip3-- flip--
114×associate-/l/
90×associate-*l/
25×distribute-rgt-in distribute-lft-in
14×add-exp-log add-cbrt-cube
12×associate--r+
10×sub-neg associate--l+
pow1
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
times-frac associate-*l* pow-prod-down associate-/l*
cbrt-undiv diff-log div-exp associate-/r/
frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
4 → 333
Calls
4 calls:
4.0ms
(- (* b b) (* c c))
25.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
19.0ms
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
33.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* b b) (* c c))
147.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
32.0ms
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
224.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

simplify186.0ms

Algorithm
egg-herbie
Counts
345 → 345
Iterations

Useful iterations: 1 (76.0ms)

IterNodesCost
0349311654
1500111493

prune2.9s

Filtered
309 candidates to 345 candidates (-11.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3441345
Fresh011
Picked011
Done112
Total3454349

Merged error: 0.2b

Counts
349 → 4

regimes701.0ms

Accuracy

0% (2.0b remaining)

Error of 2.5b against oracle of 0.5b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample7.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 22.65625%

Guaranteed chance to sample good point: 7.496843%

Results
801.0ms8000×body80valid
517.0ms5342×body80nan

Profiling

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