Details

Time bar (total: 21.1s)

sample106.0ms

Algorithm
intervals
Results
41.0ms237×body80nan
23.0ms256×body80valid

simplify997.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.4b
(/ (* z (sqrt (+ t a))) t)

rewrite118.0ms

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:
31.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms
(/ (* z (sqrt (+ t a))) t)

series483.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* z (sqrt (+ t a)))
25.0ms
(/ 2.0 (* t 3.0))
263.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
103.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: 2 (821.0ms)

IterNodesCost
03442616
110152408
243572288
done50002288

prune864.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.4b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
95.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
86.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt t)
300.0ms
(cbrt t)
180.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
373.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify927.0ms

Counts
181 → 181
Iterations

Useful iterations: done (917.0ms)

IterNodesCost
04866783
117176293
done50015978

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.3b
(log (exp (/ 2.0 (* t 3.0))))
4.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.4b
(/ (* z (sqrt (+ t a))) t)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
8.0ms
(/ 2.0 (* t 3.0))
11.0ms
(log (exp (/ 2.0 (* t 3.0))))
43.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
27.0ms
(/ (* z (sqrt (+ t a))) t)

series399.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 2.0 (* t 3.0))
27.0ms
(log (exp (/ 2.0 (* t 3.0))))
260.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
84.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: 2 (709.0ms)

IterNodesCost
02782104
17631813
232751705
done50001705

prune802.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
0.0b
(* c (+ a 0.8333333333333334))
1.3b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log distribute-rgt-in distribute-lft-in exp-sum add-cbrt-cube add-log-exp
6×pow1 associate--l+
4×associate-*r*
3×sub-neg associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ associate-/r/ flip-+
1×cbrt-undiv exp-prod flip3-- exp-to-pow frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv rem-exp-log distribute-lft-out unswap-sqr
Counts
4 → 84
Calls
4 calls:
52.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
9.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
28.0ms
(* c (+ a 0.8333333333333334))
29.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series313.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
169.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
39.0ms
(* c (+ a 0.8333333333333334))
54.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify2.6s

Counts
96 → 96
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01741587
14101536
211721405
341521401
done50021401

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes451.0ms

Accuracy

0% (2.4b remaining)

Error of 2.9b against oracle of 0.5b and baseline of 2.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03140
13940
done3940

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.9s8000×body80valid
1.5s8040×body80nan