Details

Time bar (total: 35.6s)

sample154.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
35.0ms262×body80nan

simplify678.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
3.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.7b
(/ (* z (sqrt (+ t a))) t)

rewrite155.0ms

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))
59.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms
(/ (* z (sqrt (+ t a))) t)

series520.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ 2.0 (* t 3.0))
307.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
107.0ms
(/ (* z (sqrt (+ t a))) t)

simplify592.0ms

Counts
113 → 113

prune913.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize83.0ms

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)))
3.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite236.0ms

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)
113.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
100.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt t)
263.0ms
(cbrt t)
159.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
350.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify863.0ms

Counts
181 → 181

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
5.9b
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.3b
(log (exp (cbrt t)))

rewrite119.0ms

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)
102.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
9.0ms
(log (exp (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
318.0ms
(cbrt t)
343.0ms
(cbrt t)
353.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
318.0ms
(log (exp (cbrt t)))

simplify789.0ms

Counts
112 → 112

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize79.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.2b
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
5.6b
(+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))))
27.7b
(/ (+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))))) (* (cbrt t) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0)))))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
669×associate-*r/
469×associate-*l/
304×flip3-- flip--
202×frac-times
200×frac-add distribute-neg-frac
120×frac-sub
102×associate-/l/
65×add-exp-log
55×add-cbrt-cube
37×prod-exp cbrt-unprod
30×pow1
24×distribute-rgt-in distribute-lft-in
18×pow-prod-down
16×associate-+r+ distribute-neg-in
8×cbrt-undiv sub-neg div-exp add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
3×times-frac div-sub associate-/l*
2×neg-sub0 associate-+r- flip3-+ associate-*r* unsub-neg sum-log associate-/r/ *-commutative flip-+
1×+-commutative frac-2neg neg-log clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 325
Calls
4 calls:
50.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
149.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
711.0ms
(+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))))
1.3s
(/ (+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))))) (* (cbrt t) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0)))))

series7.1s

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
392.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
3.3s
(+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))))
3.4s
(/ (+ (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (- (* (cbrt t) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))))) (* (cbrt t) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0)))))

simplify2.4s

Counts
337 → 337

prune6.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes394.0ms

Accuracy

1.6% (1.7b remaining)

Error of 2.6b against oracle of 0.9b and baseline of 2.6b

bsearch722.0ms

Steps
ItersRangePoint
10
4.6115389018217353e-116
5.256007885959504e-104
4.661190486741443e-116
9
-5.5354123826841624e-58
-1.3049062736556822e-64
-1.6431028539724054e-63

simplify1.3s

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.3s7905×body80nan