Details

Time bar (total: 26.3s)

sample583.0ms

Algorithm
intervals
Results
423.0ms354×body80nan
37.0ms54×body1280valid
20.0ms177×body80valid
15.0ms30×body640valid
10.0ms9×body2560valid
6.0ms17×body320valid
3.0ms14×body160valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25819
38219
410019
510819
611019
done11019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize28.0ms

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))))
19.2b
(cos (- y (/ (* z t) 3.0)))

rewrite141.0ms

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:
14.0ms
(/ a (* b 3.0))
24.0ms
(/ (* z t) 3.0)
54.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
42.0ms
(cos (- y (/ (* z t) 3.0)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ a (* b 3.0))
25.0ms
(/ (* z t) 3.0)
153.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
61.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03272847
17092399
229281885
done50011818

prune631.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (- (/ (* z t) 3.0))))
0.2b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
23.8b
(sin (- (/ (* z t) 3.0)))
23.9b
(cos (/ (* z t) 3.0))

rewrite153.0ms

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×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in sin-mult
2×sub-neg prod-diff sin-neg cos-mult *-commutative
1×neg-sub0 flip3-- sin-diff distribute-rgt-neg-out frac-sub flip-- sub-div unswap-sqr
Counts
4 → 72
Calls
4 calls:
38.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
99.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
8.0ms
(sin (- (/ (* z t) 3.0)))
5.0ms
(cos (/ (* z t) 3.0))

series455.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (sin y) (sin (- (/ (* z t) 3.0))))
316.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
47.0ms
(sin (- (/ (* z t) 3.0)))
26.0ms
(cos (/ (* z t) 3.0))

simplify1.8s

Counts
84 → 84
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01701746
14391698
222301433
done50011384

prune858.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 15.0b

localize88.0ms

Local error

Found 4 expressions with local error:

23.8b
(sin (- (/ (* z t) 3.0)))
23.8b
(sin (/ (* t z) 3.0))
23.8b
(sin (/ (* t z) 3.0))
23.9b
(cos (/ (* z t) 3.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
4×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
1×neg-sub0 sin-neg sin-diff
Counts
4 → 38
Calls
4 calls:
7.0ms
(sin (- (/ (* z t) 3.0)))
4.0ms
(sin (/ (* t z) 3.0))
6.0ms
(sin (/ (* t z) 3.0))
7.0ms
(cos (/ (* z t) 3.0))

series123.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sin (- (/ (* z t) 3.0)))
29.0ms
(sin (/ (* t z) 3.0))
36.0ms
(sin (/ (* t z) 3.0))
20.0ms
(cos (/ (* z t) 3.0))

simplify1.5s

Counts
50 → 50
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
053438
177436
2145377
3346377
41277377
done5000377

prune715.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 15.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))))
3.3b
(log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))
23.8b
(sin (- (/ (* z t) 3.0)))
23.9b
(cos (/ (* z t) 3.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 prod-diff
9×add-exp-log distribute-rgt-in distribute-lft-in log-pow add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-log-exp
5×sin-neg
4×exp-neg expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
3×log-div log-prod exp-prod exp-to-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/ associate--r-
1×neg-sub0 flip3-- rem-log-exp associate-*l* log-rec sin-diff *-commutative flip--
Counts
4 → 78
Calls
4 calls:
83.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))))
14.0ms
(log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))
9.0ms
(sin (- (/ (* z t) 3.0)))
7.0ms
(cos (/ (* z t) 3.0))

series468.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))))
85.0ms
(log (exp (* (sin y) (sin (- (/ (* z t) 3.0))))))
37.0ms
(sin (- (/ (* z t) 3.0)))
16.0ms
(cos (/ (* z t) 3.0))

simplify2.1s

Counts
90 → 90
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01852634
14642148
226841793
done50031543

prune569.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.0b

regimes4.3s

Accuracy

52.8% (2.1b remaining)

Error of 17.6b against oracle of 15.5b and baseline of 20.0b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03959
15059
25759
done5759

end0.0ms

sample9.3s

Algorithm
intervals
Results
2.2s9259×body80nan
2.1s1592×body1280valid
1.7s5624×body80valid
722.0ms929×body640valid
516.0ms395×body2560valid
235.0ms421×body320valid
58.0ms200×body160valid