Details

Time bar (total: 20.7s)

sample72.0ms

Algorithm
intervals
Results
21.0ms263×body80nan
19.0ms256×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210533
333133
4128133
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize29.0ms

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)))))
5.0b
(/ (* z (sqrt (+ t a))) t)

rewrite40.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
18.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series339.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03442616
110142412
242482288
done50012282

prune760.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

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)))))
2.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite76.0ms

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:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
26.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
39.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
182.0ms
(cbrt t)
230.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify610.0ms

Counts
181 → 181
Iterations

Useful iterations: done (595.0ms)

IterNodesCost
04866783
117386331
done50006215

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.0b
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b
(* c (+ a 0.8333333333333334))
0.9b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
16×exp-sum
15×associate-*r*
14×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
10×*-un-lft-identity associate--l+
8×pow1 add-cube-cbrt add-cbrt-cube add-log-exp
7×add-exp-log
6×associate-*l*
5×sub-neg
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×exp-prod flip3-- exp-to-pow flip3-+ diff-log flip-- flip-+ rem-exp-log distribute-lft-out
Counts
4 → 81
Calls
4 calls:
17.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
9.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
9.0ms
(* c (+ a 0.8333333333333334))
5.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series169.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
36.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
31.0ms
(* c (+ a 0.8333333333333334))
36.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: 3 (421.0ms)

IterNodesCost
01481181
13511133
29041028
327641024
done50001024

prune258.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (* (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))))
4.8b
(- (* (* 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)))))
5.7b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
26.2b
(/ (- (* (* 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))))

rewrite630.0ms

Algorithm
rewrite-expression-head
Rules
490×associate-*l/
488×associate-*r/
332×frac-sub
326×flip3-- flip--
212×frac-times
102×associate-/l/
50×add-exp-log
40×add-cbrt-cube
26×prod-exp cbrt-unprod
21×pow1
16×distribute-rgt-in distribute-lft-in
11×pow-prod-down
9×sub-neg
8×associate--r+
7×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
6×add-log-exp
5×associate-*l*
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 → 327
Calls
4 calls:
102.0ms
(* (* (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))))
164.0ms
(- (* (* 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)))))
12.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
308.0ms
(/ (- (* (* 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))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series4.9s

Counts
4 → 12
Calls
4 calls:
585.0ms
(* (* (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))))
2.1s
(- (* (* 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)))))
48.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
2.1s
(/ (- (* (* 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))))

simplify918.0ms

Counts
339 → 339
Iterations

Useful iterations: 1 (297.0ms)

IterNodesCost
090335320
1357231846
done500031846

prune4.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

11.4% (1.8b remaining)

Error of 2.5b against oracle of 0.8b and baseline of 2.8b

bsearch279.0ms

Steps
ItersRangePoint
9
2.225681012312395e-283
8.82209135604084e-276
3.324064142627212e-278
4
-6.424773026304821e-65
-3.4577233471950412e-65
-3.7161259589308742e-65

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
057166
179127
done79127

end0.0ms

sample1.8s

Algorithm
intervals
Results
612.0ms8000×body80valid
573.0ms8195×body80nan