Details

Time bar (total: 36.3s)

sample155.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
43.0ms270×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite143.0ms

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:
31.0ms
(* z (sqrt (+ t a)))
14.0ms
(/ 2.0 (* t 3.0))
70.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.0ms
(/ (* z (sqrt (+ t a))) t)

series502.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* z (sqrt (+ t a)))
27.0ms
(/ 2.0 (* t 3.0))
274.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
112.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.9s

Counts
113 → 113
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
03442616
110152408
243572288
done50002288

prune823.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
1.8b
(* z (/ (sqrt (+ t a)) t))
2.6b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-sub
19×associate-*r/
16×add-exp-log add-cbrt-cube
10×associate-/l*
9×flip3-- flip--
8×frac-times
7×distribute-lft-out
6×pow1 associate--r+ add-log-exp
4×cbrt-undiv flip3-+ div-exp associate-/r* flip-+
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×frac-2neg sqrt-div associate-*l/ associate--l+ clear-num associate-/l/
1×diff-log pow-prod-down *-commutative
Counts
4 → 143
Calls
4 calls:
17.0ms
(/ (sqrt (+ t a)) t)
12.0ms
(/ 2.0 (* t 3.0))
64.0ms
(* z (/ (sqrt (+ t a)) t))
62.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (sqrt (+ t a)) t)
31.0ms
(/ 2.0 (* t 3.0))
123.0ms
(* z (/ (sqrt (+ t a)) t))
255.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify2.5s

Counts
155 → 155
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03753183
110732912
243302782
done50012782

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.8b
(* z (/ (sqrt (+ t a)) t))
2.6b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
39.2b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×*-un-lft-identity times-frac
26×add-cube-cbrt
25×associate-*r*
20×cbrt-prod frac-sub
19×associate-*r/
14×add-exp-log add-cbrt-cube
13×sqrt-prod
9×flip3-- flip--
8×frac-times
7×cube-div unpow-prod-down cbrt-div cube-prod
6×pow1 associate--r+ add-log-exp
4×div-inv
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ div-exp associate-*l* prod-exp cbrt-unprod flip-+ distribute-lft-out associate-/l* unswap-sqr
2×associate-*l/ associate--l+
1×cube-mult frac-2neg pow1/3 diff-log unpow3 pow-prod-down clear-num associate-/r* *-commutative rem-cbrt-cube sqr-pow
Counts
4 → 128
Calls
4 calls:
9.0ms
(/ 2.0 (* t 3.0))
46.0ms
(* z (/ (sqrt (+ t a)) t))
66.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
10.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series476.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 2.0 (* t 3.0))
105.0ms
(* z (/ (sqrt (+ t a)) t))
314.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
24.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify2.5s

Counts
140 → 140
Iterations

Useful iterations: 2 (969.0ms)

IterNodesCost
03723258
110892641
245372513
done50012513

prune950.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize86.0ms

Local error

Found 4 expressions with local error:

2.5b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
3.6b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
7.9b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
28.3b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.4s

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 437
Calls
4 calls:
470.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
59.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
690.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.0s
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series2.4s

Counts
4 → 12
Calls
4 calls:
291.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
91.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
943.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.7s

Counts
449 → 449
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0115350141
1461544541
done500043557

prune9.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes440.0ms

Accuracy

0% (3.4b remaining)

Error of 3.6b against oracle of 0.2b and baseline of 3.6b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
13633
done3633

end2.0ms

sample4.5s

Algorithm
intervals
Results
2.1s8000×body80valid
1.4s8168×body80nan