Details

Time bar (total: 6.7s)

sample72.0ms

Algorithm
intervals
Results
34.0ms91×body1280valid
10.0ms19×body640valid
8.0ms125×body80valid
3.0ms18×body320valid
0.0ms3×body160valid

simplify7.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
0.0b
(/ 1.0 (hypot 1.0 x))
1.7b
(- 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
9×times-frac
6×pow1
5×add-exp-log sqrt-div add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×frac-times sqrt-pow1 flip3-+ associate-*r/ flip-+
1×cbrt-undiv sub-neg flip3-- frac-2neg pow1/2 diff-log div-exp pow-prod-down associate-*l/ clear-num sqrt-prod flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 57
Calls
3 calls:
28.0ms
(sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
10.0ms
(/ 1.0 (hypot 1.0 x))
12.0ms
(- 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series615.0ms

Counts
3 → 9
Calls
3 calls:
432.0ms
(sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
14.0ms
(/ 1.0 (hypot 1.0 x))
168.0ms
(- 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify46.0ms

Counts
66 → 66

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 17.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(/ (* 1.0 (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
27×add-sqr-sqrt
23×times-frac
22×add-cube-cbrt
13×add-exp-log add-cbrt-cube
10×associate-/r*
7×associate-/l*
6×add-log-exp
4×pow1 cbrt-undiv div-exp
3×frac-2neg clear-num div-inv
2×flip3-- associate-*r/ associate-/r/ flip-- associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg flip3-+ diff-log prod-exp cbrt-unprod flip-+ distribute-lft-out--
Counts
4 → 96
Calls
4 calls:
5.0ms
(/ 1.0 (hypot 1.0 x))
5.0ms
(/ 1.0 (hypot 1.0 x))
59.0ms
(/ (* 1.0 (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
51.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

series297.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ 1.0 (hypot 1.0 x))
12.0ms
(/ 1.0 (hypot 1.0 x))
239.0ms
(/ (* 1.0 (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
34.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

simplify41.0ms

Counts
108 → 108

prune388.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 17.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (hypot 1.0 x))
0.0b
(/ (* 1.0 (log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.3b
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
1.3b
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
7×associate-/r* log-pow
6×exp-prod add-log-exp
5×pow1 log-prod
4×associate-/l* difference-of-squares
3×cbrt-undiv div-exp
2×sub-neg frac-2neg exp-sum clear-num associate-/r/ div-inv distribute-lft-out distribute-lft-out--
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp prod-exp flip-- cbrt-unprod flip-+
Counts
4 → 88
Calls
4 calls:
9.0ms
(/ 1.0 (hypot 1.0 x))
396.0ms
(/ (* 1.0 (log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
167.0ms
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
35.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

series332.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1.0 (hypot 1.0 x))
235.0ms
(/ (* 1.0 (log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))) (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
41.0ms
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
49.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

simplify36.0ms

Counts
100 → 100

prune413.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 17.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
1.0b
(/ 1.0 (* (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))
1.3b
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
1.3b
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
14×cbrt-div
9×add-exp-log add-cube-cbrt
8×associate-/r/
7×flip3-+ log-pow add-cbrt-cube flip-+
6×exp-prod add-log-exp
5×pow1 log-prod times-frac
4×cbrt-prod frac-times difference-of-squares
3×associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp exp-sum associate-*l/ distribute-lft-out--
1×log-div flip3-- frac-2neg exp-diff pow1/3 diff-log rem-log-exp prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv distribute-lft-out
Counts
4 → 79
Calls
4 calls:
5.0ms
(cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
18.0ms
(/ 1.0 (* (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))
209.0ms
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
48.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

series887.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))
466.0ms
(/ 1.0 (* (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* (/ 1.0 2.0) (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))
35.0ms
(log (exp (- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))))
34.0ms
(- 1.0 (/ (+ 1.0 (/ 1.0 (hypot 1.0 x))) 2.0))

simplify69.0ms

Counts
91 → 91

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 17.0b

regimes133.0ms

Accuracy

82.7% (0.0b remaining)

Error of 15.0b against oracle of 15.0b and baseline of 15.0b

bsearch0.0ms

simplify71.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
954.0ms2897×body1280valid
170.0ms4006×body80valid
152.0ms609×body640valid
42.0ms332×body320valid
13.0ms156×body160valid