Details

Time bar (total: 3.9s)

sample72.0ms

Algorithm
intervals
Results
18.0ms58×body1280valid
14.0ms298×body80valid
14.0ms66×body640valid
5.0ms36×body320valid
2.0ms21×body160valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
014277
114277

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(/ (sinh y) x)
0.9b
(* (sin x) (/ (sinh y) x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05888627

prune108.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New661177
Fresh101
Picked101
Done000
Total681179

Merged error: 0.2b

Counts
79 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/6 (/ (pow y 3) x))
0.2b
(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
2.0b
(/ (pow y 5) x)
4.6b
(/ (pow y 3) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
85×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
43×associate-*r*
34×unpow-prod-down
26×add-exp-log
22×cube-prod
19×associate-/l*
15×add-cbrt-cube
12×sqr-pow
10×associate-*r/
9×div-exp
8×pow1
7×cube-mult unpow3
6×associate-*l* associate-/r* unswap-sqr
5×prod-exp
4×frac-add add-log-exp
3×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
2×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+
1×distribute-rgt-in distribute-lft-in
Counts
4 → 199
Calls
4 calls:
12.0ms
(* 1/6 (/ (pow y 3) x))
13.0ms
(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
6.0ms
(/ (pow y 5) x)
5.0ms
(/ (pow y 3) x)

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 1/6 (/ (pow y 3) x))
30.0ms
(* (sin x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))))
4.0ms
(/ (pow y 5) x)
4.0ms
(/ (pow y 3) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050412286

prune343.0ms

Filtered
138 candidates to 211 candidates (-52.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2101211
Fresh01010
Picked101
Done000
Total21111222

Merged error: 0.2b

Counts
222 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (sinh y))
0.8b
(cbrt (sinh y))
0.8b
(cbrt (sinh y))
0.9b
(* (sin x) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×pow1
11×sinh-def cbrt-div prod-exp cbrt-unprod
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*l*
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
12.0ms
(* (sin x) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) x)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
23.0ms
(* (sin x) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) x)))

simplify32.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05382671

prune88.0ms

Filtered
51 candidates to 80 candidates (-56.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh01010
Picked011
Done000
Total801191

Merged error: 0.2b

Counts
91 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (sin x) (/ (sinh y) x))
13.5b
(cbrt (* (sin x) (/ (sinh y) x)))
13.5b
(cbrt (* (sin x) (/ (sinh y) x)))
13.5b
(cbrt (* (sin x) (/ (sinh y) x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* (sin x) (/ (sinh y) x))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (sin x) (/ (sinh y) x))
51.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
53.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
53.0ms
(cbrt (* (sin x) (/ (sinh y) x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05016733

prune69.0ms

Filtered
61 candidates to 74 candidates (-21.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh099
Picked011
Done011
Total741185

Merged error: 0.2b

Counts
85 → 11

regimes199.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11116

end0.0ms

sample2.2s

Algorithm
intervals
Results
587.0ms1849×body1280valid
498.0ms10168×body80valid
402.0ms1941×body640valid
163.0ms1112×body320valid
67.0ms663×body160valid

Profiling

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