Details

Time bar (total: 14.5s)

sample48.0ms

Algorithm
intervals
Results
9.0ms189×body80valid
7.0ms27×body1280valid
5.0ms125×body80nan
3.0ms19×body640valid
2.0ms11×body1280nan
1.0ms12×body320valid
1.0ms10×body640nan
1.0ms7×body320nan
1.0ms9×body160valid
0.0ms5×body160nan

simplify139.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite168.0ms

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:
39.0ms
(/ (- x y) (- 1.0 y))
53.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
70.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series227.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- x y) (- 1.0 y))
56.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
119.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.5s

Counts
94 → 94

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
4.4b
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
11.3b
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
15×*-un-lft-identity
14×cbrt-prod
12×times-frac difference-of-squares
9×log-prod
7×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×cbrt-div flip3-- add-cbrt-cube flip-- distribute-lft-out--
2×log-div pow1/3 div-sub
1×sub-neg diff-log rem-log-exp log-pow associate--r-
Counts
4 → 69
Calls
4 calls:
7.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
95.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
102.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 y))
98.0ms
(cbrt (- 1.0 y))
114.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
87.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify1.2s

Counts
81 → 81

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (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)))))))
2.0b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.2b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
12.9b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite601.0ms

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:
252.0ms
(- (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)))))))
141.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
83.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
110.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.4s

Counts
4 → 12
Calls
4 calls:
510.0ms
(- (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)))))))
251.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
211.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
407.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify890.0ms

Counts
169 → 169

prune789.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (pow y 2)) (/ 1 y))
2.7b
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
3.3b
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
7.9b
(/ x (pow y 2))

rewrite198.0ms

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:
52.0ms
(- (/ x (pow y 2)) (/ 1 y))
54.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
75.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
8.0ms
(/ x (pow y 2))

series202.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (/ x (pow y 2)) (/ 1 y))
85.0ms
(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
44.0ms
(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
30.0ms
(/ x (pow y 2))

simplify887.0ms

Counts
127 → 127

prune580.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes158.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 16.4b

bsearch276.0ms

Steps
ItersRangePoint
10
13.604900490428813
2580392290222.972
24629234.99157547
9
-8.688055434588166e+16
-27378167.105272137
-109794463.93071939

simplify1.2s

end0.0ms

sample2.7s

Algorithm
intervals
Results
824.0ms5758×body80valid
437.0ms771×body1280valid
269.0ms3774×body80nan
226.0ms751×body640valid
112.0ms377×body640nan
103.0ms355×body1280nan
79.0ms444×body320valid
39.0ms225×body320nan
35.0ms276×body160valid
13.0ms125×body160nan