Details

Time bar (total: 9.2s)

sample125.0ms

Algorithm
intervals
Results
23.0ms50×body1280valid
21.0ms291×body80nan
13.0ms174×body80valid
13.0ms31×body640valid
9.0ms12×body2560valid
4.0ms16×body320valid
1.0ms6×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(/ (* z t) 3.0)
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.2b
(cos (- y (/ (* z t) 3.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
6.0ms
(/ (* z t) 3.0)
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
3.0ms
(/ (* z t) 3.0)
30.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms
(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25002432

prune248.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New661884
Fresh000
Picked101
Done000
Total671885

Merged error: 15.7b

Counts
85 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.1b
(cos (/ (* z t) 3.0))
26.8b
(sin (/ (* z t) 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
8.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series68.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
30.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0383704
11621550
25002550

prune265.0ms

Filtered
46 candidates to 72 candidates (-56.5%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New621072
Fresh31417
Picked101
Done000
Total662490

Merged error: 15.7b

Counts
90 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
2.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.1b
(cos (/ (* z t) 3.0))
26.8b
(sin (/ (* z t) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l* add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 56
Calls
4 calls:
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
30.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0247552
11029446
25001446

prune263.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh02323
Picked101
Done000
Total672592

Merged error: 15.7b

Counts
92 → 25

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
2.6b
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
26.1b
(cos (/ (* z t) 3.0))
26.8b
(sin (/ (* z t) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
33×add-cbrt-cube
31×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod
1×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (sin y))
16.0ms
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series58.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt (sin y))
29.0ms
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03971046
11820710
25001613

prune108.0ms

Filtered
42 candidates to 77 candidates (-83.3%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh32124
Picked101
Done000
Total7725102

Merged error: 15.7b

Counts
102 → 25

regimes3.8s

Accuracy

63.5% (1.4b remaining)

Error of 17.5b against oracle of 16.1b and baseline of 20.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05846
15846

end0.0ms

sample3.8s

Algorithm
intervals
Results
728.0ms1531×body1280valid
670.0ms8916×body80nan
435.0ms5626×body80valid
319.0ms960×body640valid
290.0ms375×body2560valid
111.0ms427×body320valid
36.0ms208×body160valid

Profiling

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