Details

Time bar (total: 9.3s)

sample108.0ms

Algorithm
intervals
Results
22.0ms331×body80nan
21.0ms49×body1280valid
11.0ms40×body640valid
11.0ms176×body80valid
9.0ms14×body2560valid
3.0ms12×body320valid
1.0ms10×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
29.4b
(cos (- y (/ (* z t) 3.0)))

rewrite28.0ms

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:
3.0ms
(/ a (* b 3.0))
3.0ms
(/ (* z t) 3.0)
11.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
20.0ms
(/ (* z t) 3.0)
92.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0404507
11689429
25001426

prune340.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 19.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
1.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
34.6b
(sin (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))

rewrite23.0ms

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×add-log-exp
3×times-frac associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num *-commutative div-inv sin-mult associate-/l*
Counts
4 → 58
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
16.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms
(sin (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))

series136.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
92.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms
(sin (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0302481
11291380
25002378

prune419.0ms

Filtered
70 candidates to 47 candidates (67.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.8b

localize31.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ (* z t) 3.0))
14.3b
(cbrt (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))
34.8b
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 46
Calls
4 calls:
2.0ms
(cbrt (/ (* z t) 3.0))
2.0ms
(cbrt (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))
9.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (/ (* z t) 3.0))
92.0ms
(cbrt (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))
64.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

simplify167.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 5 (162.0ms)

IterNodesCost
0135412
1253366
2558350
31411346
44438334
55002332

prune529.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 18.8b

localize39.0ms

Local error

Found 4 expressions with local error:

34.7b
(cos (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))
34.8b
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

rewrite14.0ms

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:
1.0ms
(cos (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))
9.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cos (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))
14.0ms
(cos (/ (* z t) 3.0))
60.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

simplify110.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
040276
157230
270230
382230
4119230
5213230
6827230
72758230
85001230

prune297.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 18.7b

regimes3.4s

Accuracy

56.3% (1.7b remaining)

Error of 17.7b against oracle of 16.0b and baseline of 19.9b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06662
16662

end0.0ms

sample2.9s

Algorithm
intervals
Results
620.0ms1547×body1280valid
613.0ms9069×body80nan
354.0ms5685×body80valid
264.0ms963×body640valid
246.0ms375×body2560valid
79.0ms394×body320valid
30.0ms215×body160valid