Details

Time bar (total: 18.2s)

sample181.0ms

Algorithm
intervals
Results
63.0ms1164×body80nan
22.0ms378×body80valid
5.0ms16×body640valid
3.0ms16×body320valid
1.0ms1×body1280valid
1.0ms8×body160valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03110
16210
213710
334410
4115510
5500110
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (- (log z) t))
0.3b
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
1.0b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b
(log (- 1.0 z))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
72×prod-diff
69×add-sqr-sqrt
66×*-un-lft-identity
57×add-cube-cbrt
53×distribute-rgt-in distribute-lft-in
38×associate-+r+
34×associate-+l+
28×pow1
27×log-prod
22×associate--l+
20×log-pow
10×associate-*r/ associate-*r*
8×add-exp-log add-cbrt-cube
6×sub-neg flip3-- associate-*l* flip-- add-log-exp
5×distribute-lft-out--
4×expm1-log1p-u frac-add log1p-expm1-u difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ rem-log-exp exp-sum sum-log flip-+
Counts
4 → 188
Calls
4 calls:
29.0ms
(* y (- (log z) t))
111.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
35.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms
(log (- 1.0 z))

series702.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (- (log z) t))
381.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
202.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
44.0ms
(log (- 1.0 z))

simplify98.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09472029
137911591
250011590
done50011590

prune660.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b
(* y (- (log z) t))
0.2b
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
1.0b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
168×prod-diff
156×*-un-lft-identity
144×add-sqr-sqrt
110×add-cube-cbrt
108×distribute-rgt-in distribute-lft-in
92×associate--l+
74×associate-+r+
48×pow1
38×log-pow
34×associate-+l+
31×distribute-lft-out--
24×log-prod
17×associate-*r*
14×difference-of-squares
12×sub-neg associate-*r/
10×add-cbrt-cube
9×add-exp-log associate-*l*
6×flip3-- flip-- add-log-exp
4×expm1-log1p-u frac-add log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ exp-sum sum-log flip-+
Counts
4 → 306
Calls
4 calls:
701.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
28.0ms
(* y (- (log z) t))
486.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
256.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
71.0ms
(* y (- (log z) t))
240.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
249.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify150.0ms

Counts
318 → 318
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
011196148
146764554
250014552
done50014552

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
0.7b
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
272.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
34.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
32.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
35.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))))
225.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
234.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))
225.0ms
(cbrt (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))))

simplify68.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05272977
119672821
250012531
done50012531

prune876.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
1.0b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
1.0b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
1.0b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite935.0ms

Algorithm
rewrite-expression-head
Rules
252×prod-diff
222×associate-+r+
209×*-un-lft-identity
191×add-sqr-sqrt
162×distribute-rgt-in distribute-lft-in
155×add-cube-cbrt
138×associate--l+
102×associate-+l+
58×pow1
54×log-pow
36×log-prod distribute-lft-out--
24×associate-*r/
18×sub-neg difference-of-squares
12×flip3-- frac-add flip--
10×add-log-exp
4×add-exp-log cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×+-commutative fma-def flip3-+ sum-log flip-+
1×pow1/3 exp-sum
Counts
4 → 392
Calls
4 calls:
156.0ms
(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
251.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
248.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
253.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
258.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
252.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
255.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify119.0ms

Counts
404 → 404
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
08438196
127576541
250026169
done50026169

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04642
15342
25342
done5342

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.2s40570×body80nan
742.0ms12463×body80valid
129.0ms381×body640valid
79.0ms385×body320valid
49.0ms71×body1280valid
35.0ms281×body160valid