Details

Time bar (total: 16.4s)

sample40.0ms

Algorithm
intervals
Results
8.0ms29×body1280valid
7.0ms179×body80valid
4.0ms30×body640valid
3.0ms114×body80nan
1.0ms9×body1280nan
1.0ms11×body640nan
1.0ms13×body320valid
1.0ms9×body320nan
0.0ms5×body160valid
0.0ms4×body160nan

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11912
22912
34112
45412
56212
67012
78512
810312
911612
done11612

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.7b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite120.0ms

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:
22.0ms
(/ (- x y) (- 1.0 y))
43.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
44.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series183.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- x y) (- 1.0 y))
56.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.3s

Counts
196 → 196
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03347257
18396666
222924956
done50004113

prune347.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
4.1b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.7b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×times-frac
27×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×log-prod fma-neg prod-diff associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 131
Calls
4 calls:
11.0ms
(/ 1 (- 1.0 y))
44.0ms
(* (- x y) (/ 1 (- 1.0 y)))
6.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (- 1.0 y))
41.0ms
(* (- x y) (/ 1 (- 1.0 y)))
54.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
90.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify2.4s

Counts
143 → 143
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02221969
15141593
214391442
347761410
done50001410

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (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)))))
1.2b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
13.4b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
14.5b
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

rewrite497.0ms

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:
104.0ms
(- (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)))))
136.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
151.0ms
(log (- (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))))

series1.1s

Counts
4 → 12
Calls
4 calls:
369.0ms
(- (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)))))
194.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
342.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
157.0ms
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

simplify885.0ms

Counts
1021 → 1021
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
073171293
1175358515
done500042997

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6))
12.5b
(/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
13.4b
(log (/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))))
14.5b
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

rewrite796.0ms

Algorithm
rewrite-expression-head
Rules
786×*-un-lft-identity
756×add-sqr-sqrt
705×unpow-prod-down
541×times-frac
310×difference-of-squares
245×prod-diff
216×add-cube-cbrt
183×sqr-pow
175×distribute-lft-out
162×log-prod
140×cube-prod
110×distribute-lft-out--
35×sum-cubes
18×associate-/r/
17×associate-/l*
10×add-exp-log
9×flip3-- associate-/r* flip-- div-inv
7×fma-neg
6×pow1 add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×rem-log-exp
2×flip3-+ div-exp log-pow flip-+ associate-/l/
1×cbrt-undiv sub-neg log-div frac-2neg diff-log div-sub clear-num
Counts
4 → 664
Calls
4 calls:
102.0ms
(- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6))
456.0ms
(/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
169.0ms
(log (/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (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))))

series3.3s

Counts
4 → 12
Calls
4 calls:
785.0ms
(- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6))
595.0ms
(/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
1.8s
(log (/ (- (pow 1.0 6) (pow (/ (- x y) (- 1.0 y)) 6)) (+ (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))))
165.0ms
(log (fma 1.0 1.0 (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

simplify817.0ms

Counts
676 → 676
Iterations

Useful iterations: done (770.0ms)

IterNodesCost
090639381
1201535006
done500030761

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02240
12740
done2740

end0.0ms

sample1.1s

Algorithm
intervals
Results
211.0ms5661×body80valid
158.0ms848×body1280valid
104.0ms794×body640valid
95.0ms3698×body80nan
60.0ms391×body1280nan
45.0ms365×body640nan
42.0ms445×body320valid
22.0ms252×body160valid
19.0ms214×body320nan
6.0ms108×body160nan