Details

Time bar (total: 5.0s)

sample54.0ms

Algorithm
intervals
Results
21.0ms389×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
035517
135517

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- c (* a (/ b 4.0)))
0.0b
(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
0.0b
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
7×sum-log
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt associate-+r- associate-+r+ *-un-lft-identity diff-log add-cbrt-cube
2×+-commutative sub-neg flip3-- flip3-+ associate-*r/ frac-add flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(- c (* a (/ b 4.0)))
6.0ms
(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
9.0ms
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

series74.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- c (* a (/ b 4.0)))
19.0ms
(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))
47.0ms
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05051888

prune86.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0.0b

Counts
54 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
0.1b
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.1b
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.3b
(* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-div
28×add-sqr-sqrt associate-*r/
24×frac-add sqrt-prod
21×pow1
16×frac-times
14×add-cube-cbrt *-un-lft-identity
13×flip3-+ flip-+
12×flip3-- flip--
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×associate-*l/ unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
3.0ms
(+ (* x y) (* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
6.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
6.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
18.0ms
(* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* x y) (* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
61.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
60.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
20.0ms
(* (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))) (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050953626

prune214.0ms

Filtered
81 candidates to 130 candidates (-60.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh022
Picked101
Done011
Total1304134

Merged error: 0b

Counts
134 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.1b
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.2b
(* (pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3) (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
0.3b
(pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
93×sqrt-prod
70×add-sqr-sqrt
30×associate-*r/
27×unpow-prod-down cube-prod
26×frac-add
24×cube-div associate-*l* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
16×frac-times
13×flip3-- flip3-+ flip-- flip-+
10×pow1 add-exp-log
9×associate-*r*
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×pow1/2 associate-*l/ add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 173
Calls
4 calls:
8.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
6.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
24.0ms
(* (pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3) (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
10.0ms
(pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3)

series254.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
58.0ms
(sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
20.0ms
(* (pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3) (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))
120.0ms
(pow (sqrt (sqrt (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) 3)

simplify70.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049465386
149465386

prune417.0ms

Filtered
108 candidates to 185 candidates (-71.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh022
Picked011
Done011
Total1854189

Merged error: 0b

Counts
189 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.1b
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
0.1b
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
0.2b
(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
13×add-log-exp
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sum-log pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×associate-+r- rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r+ pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
9.0ms
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
7.0ms
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
7.0ms
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
19.0ms
(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
422.0ms
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
444.0ms
(sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))))
48.0ms
(* (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))) (sqrt (+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049732876
149732876

prune169.0ms

Filtered
71 candidates to 114 candidates (-60.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done022
Total1144118

Merged error: 0b

Counts
118 → 4

regimes664.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample1.5s

Algorithm
intervals
Results
665.0ms11895×body80valid

Profiling

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