Details

Time bar (total: 20.3s)

sample62.0ms

Algorithm
intervals
Results
11.0ms186×body80valid
9.0ms29×body1280valid
5.0ms119×body80nan
5.0ms19×body1280nan
5.0ms19×body640valid
3.0ms14×body640nan
1.0ms10×body320valid
1.0ms12×body160valid
1.0ms8×body320nan
0.0ms2×body160nan

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
3.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
175×add-sqr-sqrt
169×*-un-lft-identity
102×times-frac
93×prod-diff
81×add-cube-cbrt
46×difference-of-squares
44×distribute-lft-out--
8×associate-/r/
7×flip3-- flip--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 div-inv
3×expm1-log1p-u fma-neg log1p-expm1-u
2×log-div div-sub associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow associate--r-
Counts
3 → 187
Calls
3 calls:
28.0ms
(/ (- x y) (- 1.0 y))
65.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
66.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series256.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- x y) (- 1.0 y))
85.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
123.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.5s

Counts
196 → 196
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03347257
18806681
234565082
done50024530

prune474.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.9b
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
11.6b
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×cbrt-prod
32×*-un-lft-identity
16×add-cube-cbrt
14×cbrt-div
12×pow1
10×swap-sqr
9×flip3-- flip--
8×associate-*r* associate-*l*
7×add-exp-log pow1/3 distribute-lft-out--
6×add-log-exp
5×difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u unswap-sqr
3×log-prod fma-neg prod-diff
2×log-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus diff-log rem-log-exp prod-exp log-pow *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
8.0ms
(cbrt (- 1.0 y))
87.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
7.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (- 1.0 y))
170.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
124.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
89.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

simplify1.5s

Counts
123 → 123
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02292615
15462438
221842131
done50002104

prune561.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

3.5b
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
3.5b
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
11.4b
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
11.4b
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
442×add-sqr-sqrt
410×*-un-lft-identity
348×prod-diff
246×add-cube-cbrt
154×cbrt-prod
94×difference-of-squares
84×cbrt-div
82×distribute-lft-out--
60×associate-/r/
46×flip3-- flip--
24×frac-times
22×log-prod
16×sqrt-prod
12×associate-*r/ associate-*l/ div-inv
8×pow1 add-log-exp
6×add-exp-log fma-neg log-pow
4×expm1-log1p-u log-div sqrt-div div-sub add-cbrt-cube log1p-expm1-u
2×sub-neg sqrt-pow1 pow1/2 diff-log rem-log-exp associate--r-
Counts
4 → 446
Calls
4 calls:
81.0ms
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
99.0ms
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
137.0ms
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
101.0ms
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
205.0ms
(log (sqrt (- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))))
78.0ms
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
73.0ms
(- 1.0 (/ (/ (- x y) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify850.0ms

Counts
458 → 458
Iterations

Useful iterations: done (796.0ms)

IterNodesCost
060039206
1147936860
done500029364

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
3.0b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
11.2b
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))
12.8b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite842.0ms

Algorithm
rewrite-expression-head
Rules
1120×add-sqr-sqrt
1014×*-un-lft-identity
832×prod-diff
633×unpow-prod-down cube-prod
624×times-frac
500×add-cube-cbrt
313×difference-of-squares
259×distribute-lft-out--
111×sqr-pow
81×cube-mult unpow3
72×log-prod
48×associate-/r/
33×associate--l+
28×flip3-- flip--
24×div-inv
19×pow1
16×fma-neg
15×log-pow
6×add-exp-log add-log-exp
4×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u
3×difference-cubes associate--r+
2×associate--l- sub-neg diff-log rem-log-exp
Counts
4 → 1009
Calls
4 calls:
217.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
162.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
1.0ms
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))
283.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.7s

Counts
4 → 12
Calls
4 calls:
592.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
292.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
247.0ms
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))
565.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify1.4s

Counts
1021 → 1021
Iterations

Useful iterations: done (1.3s)

IterNodesCost
073171293
1185258978
done500144955

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes136.0ms

Accuracy

95.7% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 16.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02752
13052
done3052

end0.0ms

sample2.6s

Algorithm
intervals
Results
646.0ms801×body640valid
452.0ms5721×body80valid
284.0ms780×body1280valid
209.0ms3901×body80nan
178.0ms377×body1280nan
141.0ms447×body320valid
140.0ms389×body640nan
32.0ms251×body160valid
29.0ms195×body320nan
11.0ms119×body160nan