Details

Time bar (total: 39.5s)

sample271.0ms

Algorithm
intervals
Results
114.0ms684×body80nan
24.0ms185×body80valid
17.0ms26×body640valid
14.0ms10×body1280valid
9.0ms20×body320valid
4.0ms15×body160valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
01417
12716
25716
313516
438816
5130616
6367016
done500016

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
5.0b
(log (- 1.0 y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
16×add-cube-cbrt
15×log-prod
9×prod-diff
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×distribute-rgt-in distribute-lft-in associate-*l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×flip3-- fma-neg flip--
2×log-div associate-*l/ log-pow fma-udef
1×sub-neg diff-log rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 92
Calls
4 calls:
38.0ms
(* (- z 1.0) (log (- 1.0 y)))
9.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
1.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
12.0ms
(log (- 1.0 y))

series548.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (- z 1.0) (log (- 1.0 y)))
221.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
186.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
58.0ms
(log (- 1.0 y))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02141881
15121721
218351517
done50021413

prune613.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.1b
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
80×times-frac
74×associate-*r*
70×*-un-lft-identity
63×add-cube-cbrt
56×unpow-prod-down
33×prod-diff
29×add-exp-log
24×unpow2 sqr-pow
18×unswap-sqr
17×distribute-rgt-in distribute-lft-in
15×pow1
11×prod-exp add-cbrt-cube
9×div-exp
8×associate-*l*
7×flip3-- associate--l+ log-pow flip--
6×pow-to-exp log-prod pow-exp add-log-exp
4×expm1-log1p-u frac-times log1p-expm1-u distribute-lft-out--
3×sub-neg fma-neg associate-*r/ cbrt-unprod difference-of-squares
2×pow-prod-down associate-*l/ *-commutative fma-udef
1×cbrt-undiv diff-log div-inv
Counts
4 → 218
Calls
4 calls:
70.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
75.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
13.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
1.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
74.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
307.0ms
(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
154.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify719.0ms

Counts
230 → 230
Iterations

Useful iterations: done (706.0ms)

IterNodesCost
04456887
111465500
done50004591

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
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 → 109
Calls
4 calls:
4.0ms
(cbrt (- z 1.0))
4.0ms
(cbrt (- z 1.0))
4.0ms
(cbrt (- z 1.0))
39.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- z 1.0))
152.0ms
(cbrt (- z 1.0))
139.0ms
(cbrt (- z 1.0))
194.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify911.0ms

Counts
121 → 121
Iterations

Useful iterations: done (907.0ms)

IterNodesCost
01711613
14131452
214891384
done50011339

prune905.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)) (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)))
0.5b
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
0.5b
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
0.5b
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
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 → 109
Calls
4 calls:
61.0ms
(* (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)) (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)))
7.0ms
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
8.0ms
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
8.0ms
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))

series15.7s

Counts
4 → 12
Calls
4 calls:
4.4s
(* (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)) (cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)))
3.6s
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
3.5s
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))
4.2s
(cbrt (- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t))

simplify1.7s

Counts
121 → 121
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02588417
17387971
233037472
done50006702

prune955.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes549.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02027
12227
done2227

end0.0ms

sample7.2s

Algorithm
intervals
Results
3.4s24081×body80nan
659.0ms5881×body80valid
426.0ms779×body640valid
359.0ms694×body320valid
276.0ms271×body1280valid
79.0ms407×body160valid