Details

Time bar (total: 16.3s)

sample130.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
26.0ms219×body80nan

simplify443.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.8b
(/ (* z (sqrt (+ t a))) t)

rewrite133.0ms

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:
37.0ms
(* z (sqrt (+ t a)))
13.0ms
(/ 2.0 (* t 3.0))
60.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
18.0ms
(/ (* z (sqrt (+ t a))) t)

series494.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* z (sqrt (+ t a)))
25.0ms
(/ 2.0 (* t 3.0))
267.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
107.0ms
(/ (* z (sqrt (+ t a))) t)

simplify558.0ms

Counts
113 → 113

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
1.4b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite149.0ms

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:
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)))))
80.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series958.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt t)
289.0ms
(cbrt t)
272.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
125.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify695.0ms

Counts
181 → 181

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ 2.0 (* t 3.0)) 3)
1.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
3.8b
(/ (* z (sqrt (+ t a))) t)
37.9b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×add-exp-log times-frac add-cbrt-cube
14×unpow-prod-down cube-prod
9×flip3-- flip--
8×cube-div frac-times
7×cbrt-div
6×associate-*r/ associate--r+ add-log-exp
5×pow1 div-inv
4×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in pow-exp associate-/r* rem-cube-cbrt
2×cube-mult sqrt-div unpow3 associate-*l/ prod-exp associate--l+ cbrt-unprod associate-/l/ sqr-pow
1×pow-to-exp pow-pow frac-2neg pow1/3 diff-log clear-num rem-cbrt-cube associate-/l*
Counts
4 → 121
Calls
4 calls:
10.0ms
(pow (/ 2.0 (* t 3.0)) 3)
53.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
15.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series398.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(pow (/ 2.0 (* t 3.0)) 3)
220.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
87.0ms
(/ (* z (sqrt (+ t a))) t)
19.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify491.0ms

Counts
133 → 133

prune976.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
5.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0b
(log (exp (cbrt t)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
20×associate-*l/
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
88.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(log (exp (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt t)
243.0ms
(cbrt t)
278.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
267.0ms
(log (exp (cbrt t)))

simplify567.0ms

Counts
112 → 112

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes379.0ms

Accuracy

0% (2.0b remaining)

Error of 2.9b against oracle of 0.9b and baseline of 2.9b

bsearch0.0ms

simplify504.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.7s7761×body80nan
1.2s8000×body80valid