Details

Time bar (total: 8.6s)

sample109.0ms

Algorithm
intervals
Results
27.0ms56×body1280valid
20.0ms286×body80nan
13.0ms185×body80valid
11.0ms34×body640valid
6.0ms8×body2560valid
3.0ms15×body320valid
0.0ms3×body160valid

simplify14.0ms

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: 19.6b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b
(/ a (* b 3.0))
20.7b
(cos (- y (/ (* z t) 3.0)))

rewrite30.0ms

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
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
4.0ms
(/ (* z t) 3.0)
9.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ a (* b 3.0))
8.0ms
(cos (- y (/ (* z t) 3.0)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
90.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(/ a (* b 3.0))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06851511
123611261
250011258

prune418.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New8825113
Fresh000
Picked101
Done000
Total8925114

Merged error: 15.6b

Counts
114 → 25

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* z t) 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
7.0ms
(/ a (* b 3.0))
16.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))

series162.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
108.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
21.0ms
(sin (/ (* z t) 3.0))
15.0ms
(cos (/ (* z t) 3.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0315522
11163421
25001419

prune388.0ms

Filtered
78 candidates to 56 candidates (71.8%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New71778
Fresh42024
Picked101
Done000
Total7627103

Merged error: 15.5b

Counts
103 → 27

localize34.0ms

Local error

Found 4 expressions with local error:

26.4b
(sin (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* z t) 3.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 36
Calls
4 calls:
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series60.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
040222
156194
267194
376194
4104194
5178194
6697194
72269194
85001194

prune367.0ms

Filtered
48 candidates to 44 candidates (91.7%)
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh02626
Picked011
Done000
Total472875

Merged error: 15.5b

Counts
75 → 28

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (exp (cos (/ (* z t) 3.0))))
2.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* z t) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod
1×associate-*r/ rem-log-exp associate-*r* associate-*l* *-commutative sin-mult
Counts
4 → 60
Calls
4 calls:
4.0ms
(log (exp (cos (/ (* z t) 3.0))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series131.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(log (exp (cos (/ (* z t) 3.0))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0237534
1835435
24108433
35001421

prune289.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New69372
Fresh02626
Picked101
Done011
Total7030100

Merged error: 15.5b

Counts
100 → 30

regimes2.8s

Accuracy

57.3% (1.7b remaining)

Error of 17.8b against oracle of 16.1b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05546
15546

end0.0ms

sample3.2s

Algorithm
intervals
Results
701.0ms1542×body1280valid
660.0ms9329×body80nan
416.0ms5690×body80valid
298.0ms923×body640valid
287.0ms394×body2560valid
95.0ms411×body320valid
37.0ms214×body160valid

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