Details

Time bar (total: 10.1s)

sample109.0ms

Algorithm
intervals
Results
26.0ms57×body1280valid
23.0ms269×body80nan
13.0ms176×body80valid
8.0ms25×body640valid
4.0msbody2560valid
4.0ms14×body320valid
1.0msbody160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.6b
(cos (- y (/ (* z t) 3.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
pow1
prod-exp cbrt-unprod div-inv
cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
cos-diff associate-*r* pow-prod-down
frac-2neg clear-num
distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
5.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
21.0ms
(/ a (* b 3.0))
107.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
46.0ms
(cos (- y (/ (* z t) 3.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06851511
123611261
250011258

prune487.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New9320113
Fresh000
Picked101
Done000
Total9420114

Merged error: 14.0b

Counts
114 → 20

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
25.0b
(cos (/ (* z t) 3.0))
25.6b
(sin (/ (* z t) 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
cbrt-undiv div-exp
distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
5.0ms
(/ a (* b 3.0))
10.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series313.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ a (* b 3.0))
261.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
11.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0448738
12011624
25002619

prune491.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New681078
Fresh41519
Picked101
Done000
Total732598

Merged error: 13.4b

Counts
98 → 25

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.2b
(/ a (* b 3.0))
25.6b
(cos (* 0.3333333333333333 (* t z)))
25.6b
(sin (/ (* z t) 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
cbrt-undiv div-exp
distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
11.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms
(/ a (* b 3.0))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series285.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
21.0ms
(/ a (* b 3.0))
12.0ms
(cos (* 0.3333333333333333 (* t z)))
18.0ms
(sin (/ (* z t) 3.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0452738
12034624
25001619

prune747.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh22224
Picked101
Done000
Total7726103

Merged error: 13.4b

Counts
103 → 26

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
25.3b
(sin (* 0.3333333333333333 (* t z)))
25.6b
(cos (* 0.3333333333333333 (* t z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
cbrt-undiv div-exp
distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
5.0ms
(/ a (* b 3.0))
14.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
3.0ms
(sin (* 0.3333333333333333 (* t z)))
3.0ms
(cos (* 0.3333333333333333 (* t z)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ a (* b 3.0))
219.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
20.0ms
(sin (* 0.3333333333333333 (* t z)))
13.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0439738
12013624
25001619

prune314.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh02525
Picked101
Done000
Total7826104

Merged error: 13.4b

Counts
104 → 26

regimes3.1s

Accuracy

52.9% (2.3b remaining)

Error of 17.6b against oracle of 15.3b and baseline of 20.2b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05431
15631
25631

end0.0ms

sample3.3s

Algorithm
intervals
Results
754.0ms1597×body1280valid
665.0ms9065×body80nan
425.0ms5529×body80valid
321.0ms980×body640valid
256.0ms340×body2560valid
112.0ms451×body320valid
34.0ms198×body160valid

Profiling

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