Details

Time bar (total: 9.0s)

sample115.0ms

Algorithm
intervals
Results
23.0ms55×body1280valid
20.0ms305×body80nan
16.0ms166×body80valid
12.0ms18×body2560valid
11.0ms31×body640valid
3.0ms16×body320valid
1.0ms8×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

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: 22.7b

Counts
2 → 1

localize21.0ms

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))))
25.1b
(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
(/ a (* b 3.0))
4.0ms
(/ (* z t) 3.0)
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
20.0ms
(/ (* z t) 3.0)
91.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
31.0ms
(cos (- y (/ (* z t) 3.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0404507
11689429
25001426

prune339.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New642084
Fresh000
Picked101
Done000
Total652085

Merged error: 19.4b

Counts
85 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
14×associate-/r*
9×pow1
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod 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* associate-/r/ *-commutative
Counts
4 → 121
Calls
4 calls:
5.0ms
(/ z (/ 3.0 t))
4.0ms
(/ a (* b 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ z (/ 3.0 t)))))
13.0ms
(cos (- y (/ z (/ 3.0 t))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ z (/ 3.0 t))
19.0ms
(/ a (* b 3.0))
90.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ z (/ 3.0 t)))))
37.0ms
(cos (- y (/ z (/ 3.0 t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0617874
12566791
25002791

prune540.0ms

Filtered
133 candidates to 99 candidates (74.4%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New12013133
Fresh81119
Picked101
Done000
Total12924153

Merged error: 19.1b

Counts
153 → 24

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (/ z (/ 3.0 t))))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ z (/ 3.0 t)))) (* (sin y) (sin (/ z (/ 3.0 t))))))
29.7b
(cos (/ z (/ 3.0 t)))
30.2b
(sin (/ z (/ 3.0 t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
7.0ms
(* (sin y) (sin (/ z (/ 3.0 t))))
9.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ z (/ 3.0 t)))) (* (sin y) (sin (/ z (/ 3.0 t))))))
8.0ms
(cos (/ z (/ 3.0 t)))
4.0ms
(sin (/ z (/ 3.0 t)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (sin y) (sin (/ z (/ 3.0 t))))
213.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ z (/ 3.0 t)))) (* (sin y) (sin (/ z (/ 3.0 t))))))
9.0ms
(cos (/ z (/ 3.0 t)))
16.0ms
(sin (/ z (/ 3.0 t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0366754
11771643
25002640

prune381.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh32023
Picked101
Done000
Total642892

Merged error: 19.1b

Counts
92 → 28

localize42.0ms

Local error

Found 4 expressions with local error:

30.2b
(sin (/ z (/ 3.0 t)))
30.2b
(sin (/ z (/ 3.0 t)))
30.2b
(sin (/ z (/ 3.0 t)))
30.2b
(sin (/ z (/ 3.0 t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
6.0ms
(sin (/ z (/ 3.0 t)))
4.0ms
(sin (/ z (/ 3.0 t)))
4.0ms
(sin (/ z (/ 3.0 t)))
4.0ms
(sin (/ z (/ 3.0 t)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sin (/ z (/ 3.0 t)))
19.0ms
(sin (/ z (/ 3.0 t)))
14.0ms
(sin (/ z (/ 3.0 t)))
15.0ms
(sin (/ z (/ 3.0 t)))

simplify100.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
024192
135164
243164
350164
470164
5124164
6530164
71697164
85001164

prune257.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New35540
Fresh22527
Picked101
Done000
Total383068

Merged error: 19.1b

Counts
68 → 30

regimes3.0s

Accuracy

53.3% (1.9b remaining)

Error of 18.1b against oracle of 16.3b and baseline of 20.3b

bsearch5.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06570
16570

end0.0ms

sample3.2s

Algorithm
intervals
Results
708.0ms1576×body1280valid
658.0ms8982×body80nan
428.0ms5545×body80valid
295.0ms924×body640valid
291.0ms392×body2560valid
108.0ms443×body320valid
32.0ms195×body160valid

Profiling

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