Details

Time bar (total: 52.6s)

sample144.0ms

Algorithm
intervals
Results
62.0ms256×body80valid
27.0ms268×body80nan

simplify825.0ms

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize74.0ms

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)))))
6.4b
(/ (* z (sqrt (+ t a))) t)

rewrite96.0ms

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:
19.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
36.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
30.0ms
(/ (* z (sqrt (+ t a))) t)

series535.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* z (sqrt (+ t a)))
34.0ms
(/ 2.0 (* t 3.0))
295.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
120.0ms
(/ (* z (sqrt (+ t a))) t)

simplify634.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
11047
0346

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize125.0ms

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)))))
2.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite152.0ms

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)
78.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
65.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt t)
261.0ms
(cbrt t)
389.0ms
(- (* (/ 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)))

simplify859.0ms

Counts
181 → 181
Iterations
IterNodes
done5000
11861
0488

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))
1.3b
(* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0)))
7.5b
(- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0))))
29.7b
(/ (- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))) (* (* t 3.0) (* (- a (/ 5.0 6.0)) t)))

rewrite2.8s

Algorithm
rewrite-expression-head
Rules
3060×associate-*r/
2912×associate-*l/
1808×frac-sub
1608×flip3-- flip--
1588×frac-times
750×sqrt-div
681×flip3-+ flip-+
500×associate-/l/
136×distribute-rgt-in distribute-lft-in
110×sub-div
68×associate--l+
45×add-cbrt-cube add-exp-log
41×sub-neg
36×associate--r+
27×pow1
24×prod-exp cbrt-unprod
16×pow-prod-down
13×add-sqr-sqrt
10×*-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×add-log-exp
5×cbrt-undiv div-exp
4×times-frac
3×associate-/l*
2×associate-*l* associate-/r/ *-commutative difference-of-squares
1×clear-num associate-/r* frac-2neg diff-log div-sub div-inv distribute-lft-out--
Counts
4 → 1238
Calls
4 calls:
690.0ms
(* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))
252.0ms
(* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0)))
559.0ms
(- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0))))
928.0ms
(/ (- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))) (* (* t 3.0) (* (- a (/ 5.0 6.0)) t)))

series2.6s

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))
126.0ms
(* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0)))
802.0ms
(- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0))))
1.4s
(/ (- (* (* (* (sqrt (+ t a)) z) (* t 3.0)) (- a (/ 5.0 6.0))) (* (* t (- b c)) (- (* (+ a (/ 5.0 6.0)) (* t (* 3.0 (- a (/ 5.0 6.0))))) (* (- a (/ 5.0 6.0)) 2.0)))) (* (* t 3.0) (* (- a (/ 5.0 6.0)) t)))

simplify1.3s

Counts
1250 → 1250
Iterations
IterNodes
done5001
03075

prune31.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes823.0ms

Accuracy

50.4% (1.0b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 2.6b

bsearch657.0ms

Steps
ItersRangePoint
7
1.12706734621473e-82
1.1006156071877622e-80
1.3776490320399632e-82
11
-3.2847189215101234e-182
-2.0378606062818148e-209
-1.8637523653646986e-196

simplify8.0ms

Iterations
IterNodes
done82
182
057

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.0s8000×body80valid
1.8s7966×body80nan