Details

Time bar (total: 13.2s)

sample134.0ms

Algorithm
intervals
Results
28.0ms59×body1280valid
19.0ms265×body80nan
15.0ms165×body80valid
13.0ms18×body2560valid
8.0ms25×body640valid
8.0ms19×body320valid
1.0ms5×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.4b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.2b
(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

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
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms
(cos (- y (/ (* z t) 3.0)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
33.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
11.0ms
(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25001432

prune281.0ms

Filtered
84 candidates to 59 candidates (29.8%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New612384
Fresh000
Picked101
Done000
Total622385

Merged error: 18.4b

Counts
85 → 23

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* z t) (sqrt 3.0))
0.3b
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
25.5b
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l*
9×pow1 div-inv
7×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative associate-/l/
Counts
4 → 150
Calls
4 calls:
7.0ms
(/ (* z t) (sqrt 3.0))
8.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
19.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (* z t) (sqrt 3.0))
15.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
50.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))
20.0ms
(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05931510
125931275
250011259

prune493.0ms

Filtered
162 candidates to 91 candidates (43.8%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New14715162
Fresh81422
Picked101
Done000
Total15629185

Merged error: 17.4b

Counts
185 → 29

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (* (sin y) (sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))))
28.6b
(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
29.0b
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
54×sqrt-prod
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log add-cbrt-cube
10×associate-/l*
9×pow1
8×div-inv
6×associate-/r*
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
3×associate-*r/ associate-*r* pow-prod-down
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num cos-mult *-commutative flip-+ associate-/l/ sin-mult
Counts
4 → 130
Calls
4 calls:
8.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
9.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (* (sin y) (sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))))
6.0ms
(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
6.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
105.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (* (sin y) (sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))))
10.0ms
(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
8.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07311770
134591481
250021472

prune656.0ms

Filtered
142 candidates to 85 candidates (40.1%)
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New13012142
Fresh32528
Picked101
Done000
Total13437171

Merged error: 17.3b

Counts
171 → 37

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
29.0b
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
29.1b
(sin (* (/ (/ z (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (/ t (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
72×add-sqr-sqrt
40×sqrt-prod
28×add-cube-cbrt *-un-lft-identity
22×swap-sqr
18×pow1 associate-*r* associate-*l* unswap-sqr
12×pow1/3
8×add-exp-log
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
8.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
8.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
6.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
2.0ms
(sin (* (/ (/ z (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (/ t (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))

series19.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
8.0ms
(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
11.0ms
(sin (* (/ (/ z (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (/ t (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
01411192
15061077
226081003
35001930

prune571.0ms

Filtered
134 candidates to 77 candidates (42.5%)
Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New1295134
Fresh23436
Picked101
Done000
Total13239171

Merged error: 17.2b

Counts
171 → 39

regimes6.4s

Accuracy

47.6% (2.6b remaining)

Error of 18.0b against oracle of 15.5b and baseline of 20.4b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05946
15946

end0.0ms

sample3.9s

Algorithm
intervals
Results
741.0ms1566×body1280valid
695.0ms9256×body80nan
445.0ms5664×body80valid
312.0ms928×body640valid
307.0ms403×body2560valid
108.0ms422×body320valid
33.0ms179×body160valid

Profiling

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