Details

Time bar (total: 6.5s)

sample46.0ms

Algorithm
intervals
Results
8.0ms186×body80valid
6.0ms36×body640valid
5.0ms13×body1280nan
3.0ms105×body80nan
3.0ms15×body1280valid
2.0ms16×body640nan
1.0ms11×body320valid
1.0ms9×body320nan
1.0ms8×body160valid

simplify7.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.0b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite102.0ms

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:
21.0ms
(/ (- x y) (- 1.0 y))
32.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
43.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series185.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- x y) (- 1.0 y))
54.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
89.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify38.0ms

Counts
94 → 94

prune245.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
4.4b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.6b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×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×div-exp prod-exp associate-/r/
3×log-prod 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 → 117
Calls
4 calls:
12.0ms
(/ 1 (- 1.0 y))
48.0ms
(* (- x y) (/ 1 (- 1.0 y)))
4.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 y))
39.0ms
(* (- x y) (/ 1 (- 1.0 y)))
88.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
58.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify49.0ms

Counts
129 → 129

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.9b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.6b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
14.1b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite443.0ms

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:
169.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
95.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
94.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
74.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
427.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
197.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
356.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
176.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify70.0ms

Counts
169 → 169

prune567.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (pow y 2)) (/ 1 y))
3.3b
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
3.4b
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
10.5b
(/ x (pow y 2))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
48×times-frac
34×*-un-lft-identity
22×add-cube-cbrt
15×unpow-prod-down difference-of-squares
10×add-exp-log
8×associate-/r* add-log-exp
7×unpow2 sqr-pow
6×associate-*r/ frac-add add-cbrt-cube
5×pow1 log-div
4×associate-+l+
3×sub-neg log-prod flip3-- div-exp frac-sub flip-- associate-/l* distribute-lft-out--
2×distribute-rgt-in distribute-lft-in flip3-+ flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp frac-2neg diff-log rem-log-exp pow-exp clear-num sum-log log-pow
Counts
4 → 115
Calls
4 calls:
48.0ms
(- (/ x (pow y 2)) (/ 1 y))
53.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
43.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
8.0ms
(/ x (pow y 2))

series172.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ x (pow y 2)) (/ 1 y))
42.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
68.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
28.0ms
(/ x (pow y 2))

simplify53.0ms

Counts
127 → 127

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes167.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.3b

bsearch140.0ms

Steps
ItersRangePoint
9
288166.37165529485
42772065132.76068
32110906.87222982
7
-2445851338.3862987
-30461436.183609415
-118579514.58451813

simplify2.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
575.0ms3746×body80nan
330.0ms5643×body80valid
201.0ms840×body1280valid
177.0ms836×body640valid
140.0ms378×body1280nan
56.0ms240×body320nan
56.0ms383×body640nan
54.0ms441×body320valid
20.0ms240×body160valid
9.0ms125×body160nan