Details

Time bar (total: 13.5s)

sample96.0ms

Algorithm
intervals
Results
20.0ms42×body1280valid
16.0ms282×body80nan
11.0ms186×body80valid
9.0ms31×body640valid
5.0msbody2560valid
3.0ms16×body320valid
1.0msbody160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

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: 18.5b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.7b
(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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)
5.0ms
(/ a (* b 3.0))
16.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms
(cos (- y (/ (* z t) 3.0)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* z t) 3.0)
21.0ms
(/ a (* b 3.0))
108.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms
(cos (- y (/ (* z t) 3.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06851511
123611261
250011258

prune507.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New9122113
Fresh000
Picked101
Done000
Total9222114

Merged error: 14.7b

Counts
114 → 22

localize38.0ms

Local error

Found 4 expressions with local error:

23.7b
(cos (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
24.0b
(sin (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
cos-sum sin-sum
Counts
4 → 40
Calls
4 calls:
5.0ms
(cos (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
2.0ms
(sin (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cos (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
119.0ms
(sin (fma 1 y (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))))
240.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
242.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

simplify222.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (215.0ms)

IterNodesCost
0110733
1261629
2892609
34929553
45001517

prune607.0ms

Filtered
52 candidates to 46 candidates (88.5%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New421052
Fresh21921
Picked101
Done000
Total452974

Merged error: 14.5b

Counts
74 → 29

localize50.0ms

Local error

Found 4 expressions with local error:

27.6b
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
28.1b
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
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
fma-udef
neg-sub0 sin-neg sin-diff
Counts
4 → 40
Calls
4 calls:
2.0ms
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
3.0ms
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

series670.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
91.0ms
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
249.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
255.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

simplify215.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (207.0ms)

IterNodesCost
091661
1206562
2718542
33947486
45001450

prune745.0ms

Filtered
52 candidates to 46 candidates (88.5%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New43952
Fresh52328
Picked101
Done000
Total493281

Merged error: 14.5b

Counts
81 → 32

localize63.0ms

Local error

Found 4 expressions with local error:

27.6b
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
28.1b
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
53.1b
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
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
fma-udef
neg-sub0 sin-neg sin-diff
Counts
4 → 40
Calls
4 calls:
2.0ms
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
3.0ms
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
1.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cos (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
89.0ms
(sin (- (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0))))))
264.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))
246.0ms
(fma (- (/ t (cbrt 3.0))) (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (/ t (cbrt 3.0)) (/ z (* (cbrt 3.0) (cbrt 3.0)))))

simplify213.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 4 (206.0ms)

IterNodesCost
091661
1206562
2718542
33947486
45001450

prune558.0ms

Filtered
52 candidates to 46 candidates (88.5%)
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh13031
Picked101
Done000
Total503484

Merged error: 14.5b

Counts
84 → 34

regimes4.9s

Accuracy

52.3% (2.0b remaining)

Error of 18.1b against oracle of 16.1b and baseline of 20.3b

bsearch5.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
080104
188104
288104

end0.0ms

sample2.9s

Algorithm
intervals
Results
645.0ms1555×body1280valid
555.0ms9285×body80nan
373.0ms5631×body80valid
265.0ms922×body640valid
255.0ms373×body2560valid
99.0ms455×body320valid
28.0ms194×body160valid

Profiling

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