Details

Time bar (total: 19.7s)

sample87.0ms

Algorithm
intervals
Results
18.0ms201×body80valid
9.0ms28×body640valid
8.0ms116×body80nan
7.0ms15×body1280valid
6.0ms16×body1280nan
3.0ms11×body640nan
2.0ms10×body320nan
2.0ms8×body320valid
1.0ms4×body160valid
0.0ms2×body160nan

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11912
22912
34112
47512
512412
620812
732012
877212
9304512
done500112

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.0b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.8b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
25.0ms
(/ (- x y) (- 1.0 y))
49.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
40.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series308.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (- x y) (- 1.0 y))
94.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
143.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify888.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
01711417
14071351
213891266
done50011266

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
4.8b
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
8.5b
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
7×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×cbrt-div flip3-- add-cbrt-cube flip--
3×log-prod
2×log-div pow1/3 distribute-lft-out-- difference-of-squares
1×sub-neg diff-log rem-log-exp log-pow
Counts
4 → 56
Calls
4 calls:
7.0ms
(cbrt (- x y))
8.0ms
(cbrt (- x y))
8.0ms
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
10.0ms
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (- x y))
211.0ms
(cbrt (- x y))
131.0ms
(log (- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)))))
73.0ms
(- 1.0 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y))))

simplify2.7s

Counts
68 → 68
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01371409
13091357
21021925
34644784
done5000762

prune332.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.8b
(log (/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0)))
8.5b
(/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0))
10.5b
(/ (pow (cbrt (- x y)) 6) (- 1.0 y))
11.4b
(- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y)))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
242×add-sqr-sqrt
222×times-frac
140×*-un-lft-identity
79×difference-of-squares
68×unpow-prod-down
64×add-cube-cbrt
42×log-prod
40×cbrt-prod
21×associate-/l*
19×distribute-lft-out distribute-lft-out--
16×sqr-pow
14×add-exp-log
9×associate-/r*
8×add-cbrt-cube
6×associate-/r/ add-log-exp
5×pow1 div-exp
3×flip3-- flip-- div-inv
2×cbrt-undiv frac-2neg flip3-+ rem-log-exp clear-num flip-+ associate-/l/
1×pow-to-exp sub-neg log-div diff-log div-sub pow-exp log-pow
Counts
4 → 230
Calls
4 calls:
268.0ms
(log (/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0)))
686.0ms
(/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0))
49.0ms
(/ (pow (cbrt (- x y)) 6) (- 1.0 y))
201.0ms
(- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y)))

series726.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(log (/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0)))
217.0ms
(/ (- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y))) (+ (/ (- x y) (- 1.0 y)) 1.0))
55.0ms
(/ (pow (cbrt (- x y)) 6) (- 1.0 y))
147.0ms
(- (* 1.0 1.0) (/ (/ (pow (cbrt (- x y)) 6) (- 1.0 y)) (- 1.0 y)))

simplify2.0s

Counts
242 → 242
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04128572
19458282
233747325
done50017061

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
1.0b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
13.5b
(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))
14.0b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite548.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
73×difference-of-squares
72×log-prod
54×unpow-prod-down cube-prod
42×*-un-lft-identity
33×associate--l+
30×sqr-pow
24×times-frac
19×distribute-lft-out--
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log log-pow add-log-exp
4×flip3-- add-cbrt-cube flip--
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 157
Calls
4 calls:
200.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
125.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
74.0ms
(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))
129.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.4s

Counts
4 → 12
Calls
4 calls:
523.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0))))
285.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
199.0ms
(log (+ (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))) (* 1.0 1.0)))
369.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify1.2s

Counts
169 → 169
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02635772
16155449
221935258
done50025254

prune920.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

93.6% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 17.4b

bsearch210.0ms

Steps
ItersRangePoint
11
0.10130402529439038
2.0110076054247779e+21
49288711.749988146
7
-9.538152714924134e+38
-9.047342624206561e+36
-9.186493886184318e+36

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02867
13450
done3450

end0.0ms

sample2.6s

Algorithm
intervals
Results
509.0ms466×body320valid
427.0ms5690×body80valid
427.0ms817×body1280valid
225.0ms761×body640valid
209.0ms3604×body80nan
137.0ms361×body1280nan
78.0ms266×body160valid
75.0ms373×body640nan
35.0ms233×body320nan
11.0ms111×body160nan