Details

Time bar (total: 22.8s)

sample178.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
39.0ms239×body80nan

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
41817
3373
2106
150
028

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
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 associate-/r* sqrt-div div-exp associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
18.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ 2.0 (* t 3.0))
41.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.0ms
(/ (* z (sqrt (+ t a))) t)

series553.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* z (sqrt (+ t a)))
39.0ms
(/ 2.0 (* t 3.0))
292.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
125.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts
113 → 113
Iterations
IterNodes
done5000
11047
0346

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite145.0ms

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×flip3-- add-exp-log 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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
56.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
68.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt t)
314.0ms
(cbrt t)
383.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
186.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.2s

Counts
181 → 181
Iterations
IterNodes
done5000
11861
0488

prune2.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a)))))
1.2b
(- (* c (+ a 0.8333333333333334)) (* b a))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
11×add-sqr-sqrt
9×*-un-lft-identity
8×distribute-rgt-in distribute-lft-in exp-sum
7×pow1 add-cbrt-cube add-cube-cbrt
6×associate-*l* associate--l+ add-exp-log
5×add-log-exp
3×sub-neg
2×pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×flip3-+ flip3-- diff-log flip-+ flip-- distribute-lft-out
Counts
3 → 63
Calls
3 calls:
16.0ms
(* c (+ a 0.8333333333333334))
48.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a)))))
18.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))

series255.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* c (+ a 0.8333333333333334))
118.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a)))))
61.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5000
21269
1341
0127

prune705.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a))))))
1.2b
(- (* c (+ a 0.8333333333333334)) (* b a))
1.2b
(- (* c (+ a 0.8333333333333334)) (* b a))
1.2b
(- (* c (+ a 0.8333333333333334)) (* b a))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×associate--l+
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip--
1×cbrt-prod pow1/3
Counts
4 → 51
Calls
4 calls:
14.0ms
(cbrt (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a))))))
21.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))
20.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))
11.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))

series484.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* b a))))))
58.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))
62.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))
92.0ms
(- (* c (+ a 0.8333333333333334)) (* b a))

simplify2.9s

Counts
63 → 63
Iterations
IterNodes
done5001
34809
2754
1212
087

prune697.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes866.0ms

Accuracy

0% (1.6b remaining)

Error of 2.7b against oracle of 1.1b and baseline of 2.7b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done39
139
031

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.7s8000×body80valid
1.3s7974×body80nan