Details

Time bar (total: 31.8s)

sample201.0ms

Algorithm
intervals
Results
70.0ms314×body80nan
29.0ms52×body1280valid
21.0ms186×body80valid
13.0ms15×body2560valid
12.0ms27×body640valid
3.0ms10×body320valid
1.0ms5×body160valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25819
38219
49719
510419
610619
done10619

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
27.5b
(cos (- y (/ (* z t) 3.0)))

rewrite95.0ms

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
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
10.0ms
(/ (* z t) 3.0)
33.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms
(/ a (* b 3.0))
41.0ms
(cos (- y (/ (* z t) 3.0)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
106.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.0ms
(/ a (* b 3.0))
52.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03272847
16662377
218561875
done50001638

prune593.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 18.2b

localize55.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (/ (* z t) 3.0))
15.0b
(cbrt (/ (* z t) 3.0))
15.0b
(cbrt (/ (* z t) 3.0))
27.4b
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×cos-sum
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 prod-diff div-inv
1×cos-diff sub-neg
Counts
4 → 69
Calls
4 calls:
5.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
19.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (/ (* z t) 3.0))
128.0ms
(cbrt (/ (* z t) 3.0))
131.0ms
(cbrt (/ (* z t) 3.0))
121.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: 5 (1.0s)

IterNodesCost
01211520
12051041
2340893
3677866
41205770
52595722
done5000722

prune628.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ t (sqrt 3.0)))
15.0b
(cbrt (/ (* z t) 3.0))
15.0b
(cbrt (/ (* z t) 3.0))
27.6b
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
24×times-frac
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×sqrt-prod
5×cos-sum
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 prod-diff div-inv
1×cos-diff sub-neg
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (/ t (sqrt 3.0)))
4.0ms
(cbrt (/ (* z t) 3.0))
4.0ms
(cbrt (/ (* z t) 3.0))
14.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
421.0ms
(cbrt (/ t (sqrt 3.0)))
105.0ms
(cbrt (/ (* z t) 3.0))
104.0ms
(cbrt (/ (* z t) 3.0))
734.0ms
(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))))))

simplify1.8s

Counts
96 → 96
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02201941
13821896
27541705
321981640
done50011423

prune1.0s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.7b

localize101.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (/ (* z t) 3.0))
15.0b
(cbrt (/ (* z t) 3.0))
32.1b
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))
32.2b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))

rewrite141.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 54
Calls
4 calls:
5.0ms
(cbrt (/ (* z t) 3.0))
6.0ms
(cbrt (/ (* z t) 3.0))
63.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))
66.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (/ (* z t) 3.0))
157.0ms
(cbrt (/ (* z t) 3.0))
423.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))
357.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))))

simplify4.5s

Counts
66 → 66
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01051174
11911159
23921014
311931000
44962984
done5000984

prune834.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 17.5b

regimes5.9s

Accuracy

56.8% (1.8b remaining)

Error of 17.8b against oracle of 16.0b and baseline of 20.1b

bsearch7.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05391
16991
done6991

end0.0ms

sample8.3s

Algorithm
intervals
Results
2.3s9318×body80nan
1.7s1603×body1280valid
966.0ms927×body640valid
965.0ms5704×body80valid
505.0ms362×body2560valid
212.0ms432×body320valid
59.0ms215×body160valid