Details

Time bar (total: 32.1s)

sample140.0ms

Algorithm
intervals
Results
61.0ms256×body80valid
28.0ms270×body80nan

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337433
4178933
done500133

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
35.0ms
(* z (sqrt (+ t a)))
9.0ms
(/ 2.0 (* t 3.0))
54.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
40.0ms
(/ (* z (sqrt (+ t a))) t)

series497.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* z (sqrt (+ t a)))
19.0ms
(/ 2.0 (* t 3.0))
280.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
110.0ms
(/ (* z (sqrt (+ t a))) t)

simplify698.0ms

Counts
113 → 113
Iterations

Useful iterations: done (694.0ms)

IterNodesCost
03442616
110392408
done50012304

prune916.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.4b
(/ t (sqrt (+ t a)))
1.0b
(/ z (/ t (sqrt (+ t a))))
1.8b
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
189×times-frac
138×*-un-lft-identity
106×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
35×associate-/r*
20×frac-sub
16×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/r/
10×sqrt-div
9×flip3-- flip-- associate-/l*
8×frac-times flip3-+ flip-+
7×div-inv
6×cbrt-undiv div-exp associate--r+ add-log-exp
4×pow1 associate-*r/
3×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
2×associate-*l/ associate--l+
1×diff-log prod-exp cbrt-unprod
Counts
4 → 224
Calls
4 calls:
19.0ms
(/ 2.0 (* t 3.0))
24.0ms
(/ t (sqrt (+ t a)))
36.0ms
(/ z (/ t (sqrt (+ t a))))
228.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series589.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 2.0 (* t 3.0))
143.0ms
(/ t (sqrt (+ t a)))
98.0ms
(/ z (/ t (sqrt (+ t a))))
314.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify979.0ms

Counts
236 → 236
Iterations

Useful iterations: done (962.0ms)

IterNodesCost
04954998
114714565
done50014405

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.4b
(/ t (sqrt (+ t a)))
5.4b
(- (/ z (log (exp (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b
(log (exp (/ t (sqrt (+ t a)))))

rewrite551.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
45×times-frac
37×add-sqr-sqrt add-cube-cbrt
28×sqrt-prod log-pow
27×exp-prod
20×frac-sub
11×add-exp-log add-cbrt-cube
9×flip3-- flip--
8×frac-times associate-/r*
7×distribute-lft-out
6×associate-/l* associate--r+ add-log-exp
5×pow1 flip3-+ flip-+
4×sqrt-div associate-*r/ associate-/r/
3×cbrt-undiv distribute-rgt-in sub-neg log-prod distribute-lft-in div-exp div-inv
2×frac-2neg associate-*l/ associate--l+ clear-num
1×diff-log rem-log-exp prod-exp cbrt-unprod
Counts
4 → 137
Calls
4 calls:
18.0ms
(/ 2.0 (* t 3.0))
18.0ms
(/ t (sqrt (+ t a)))
456.0ms
(- (/ z (log (exp (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
50.0ms
(log (exp (/ t (sqrt (+ t a)))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 2.0 (* t 3.0))
92.0ms
(/ t (sqrt (+ t a)))
294.0ms
(- (/ z (log (exp (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
110.0ms
(log (exp (/ t (sqrt (+ t a)))))

simplify2.8s

Counts
149 → 149
Iterations

Useful iterations: done (2.7s)

IterNodesCost
03703234
19452810
242042695
done50002691

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
4.1b
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
6.8b
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
23.8b
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ t (sqrt (+ t a)))))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
437×associate-*l/
325×associate-*r/
307×flip3-- flip--
284×frac-sub
222×frac-times
84×associate-/l/
50×add-exp-log add-cbrt-cube
31×associate-*l*
27×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
16×distribute-rgt-in distribute-lft-in
14×pow1
12×cbrt-undiv div-exp sqrt-prod
9×sub-neg
8×associate--r+
7×associate-/r/
6×pow-prod-down add-log-exp
3×distribute-lft-out associate-/l*
2×sqrt-div associate-*r* *-commutative div-inv
1×frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-+ difference-of-squares
Counts
4 → 339
Calls
4 calls:
47.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
743.0ms
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
647.0ms
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
1.1s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ t (sqrt (+ t a)))))

series3.5s

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
1.3s
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
392.0ms
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
1.7s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ t (sqrt (+ t a)))))

simplify1.8s

Counts
351 → 351
Iterations

Useful iterations: done (1.7s)

IterNodesCost
088133301
1325630481
done500128677

prune5.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes479.0ms

Accuracy

0% (2.7b remaining)

Error of 3.1b against oracle of 0.4b and baseline of 3.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
13533
done3533

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.5s8000×body80valid
1.5s7928×body80nan