Details

Time bar (total: 39.3s)

sample201.0ms

Algorithm
intervals
Results
69.0ms285×body80nan
43.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337433
4178933
done500133

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.9b
(/ (* z (sqrt (+ t a))) t)

rewrite183.0ms

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:
47.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
81.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms
(/ (* z (sqrt (+ t a))) t)

series675.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ 2.0 (* t 3.0))
370.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
150.0ms
(/ (* z (sqrt (+ t a))) t)

simplify828.0ms

Counts
113 → 113
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
03442616
110392408
done50012304

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.2b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite269.0ms

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)
105.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
140.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt t)
359.0ms
(cbrt t)
408.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
182.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.4s

Counts
181 → 181
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04866783
118556317
done50025987

prune2.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

localize110.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
6.8b
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.5b
(log (exp (cbrt t)))

rewrite154.0ms

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:
4.0ms
(cbrt t)
2.0ms
(cbrt t)
113.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.0ms
(log (exp (cbrt t)))

series1.6s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt t)
384.0ms
(cbrt t)
410.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
384.0ms
(log (exp (cbrt t)))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03515244
113784709
done50004518

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize141.0ms

Local error

Found 4 expressions with local error:

4.0b
(- (* b b) (* c c))
6.4b
(* (pow (cbrt t) 3) (- (* b b) (* c c)))
8.3b
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.3b
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (pow (cbrt t) 3) (+ b c)))

rewrite723.0ms

Algorithm
rewrite-expression-head
Rules
452×associate-*r/
320×frac-sub
240×frac-times
217×flip3-+ flip-+
168×sqrt-div
132×flip3-- flip--
114×associate-/l/
88×associate-*l/
23×add-sqr-sqrt
19×add-exp-log
18×associate-*l*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
8×cbrt-prod unpow-prod-down cube-prod add-log-exp
6×distribute-rgt-in sub-neg distribute-lft-in prod-exp associate--r+ unswap-sqr
4×pow1 div-exp associate-*r* associate--l+
3×times-frac associate-/l*
2×cbrt-undiv pow-to-exp diff-log pow-exp associate-/r/ cbrt-unprod difference-of-squares sqr-pow
1×cube-mult frac-2neg unpow3 div-sub clear-num associate-/r* *-commutative div-inv
Counts
4 → 331
Calls
4 calls:
16.0ms
(- (* b b) (* c c))
83.0ms
(* (pow (cbrt t) 3) (- (* b b) (* c c)))
177.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
354.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (pow (cbrt t) 3) (+ b c)))

series3.0s

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* b b) (* c c))
167.0ms
(* (pow (cbrt t) 3) (- (* b b) (* c c)))
1.3s
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.5s
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (pow (cbrt t) 3) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (pow (cbrt t) 3) (+ b c)))

simplify2.6s

Counts
343 → 343
Iterations

Useful iterations: done (2.5s)

IterNodesCost
084724649
1356921628
done500020712

prune9.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (2.2b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03140
13940
done3940

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.3s7962×body80nan
1.8s8000×body80valid