Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
6.0ms56×body640valid
4.0ms143×body80valid
3.0ms37×body320valid
1.0ms20×body160valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
2.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
43×times-frac
40×add-sqr-sqrt
25×distribute-lft-out--
20×add-cube-cbrt
8×difference-of-squares
6×distribute-lft-out
5×associate-/r*
4×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
3×flip-- div-inv associate-/l*
2×pow1 flip3--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub flip-+
Counts
2 → 69
Calls
2 calls:
18.0ms
(/ 1.0 (- x 1.0))
104.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series306.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1.0 (- x 1.0))
264.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify59.0ms

Counts
75 → 75

prune188.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-/r* difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
20.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify61.0ms

Counts
36 → 36

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
142×*-un-lft-identity
106×add-sqr-sqrt
68×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
18×distribute-lft-out associate-/l*
14×associate-/r/
7×div-inv
6×add-exp-log flip3-+ add-cbrt-cube flip-+
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 flip3-- frac-2neg clear-num flip-- associate-/l/ add-log-exp
Counts
1 → 130
Calls
1 calls:
33.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify57.0ms

Counts
133 → 133

prune356.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
16.3b
(cbrt (- (* x x) (* 1.0 1.0)))
16.3b
(cbrt (- (* x x) (* 1.0 1.0)))
16.3b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l* difference-of-squares
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
49.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
9.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
10.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
10.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
286.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
213.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
214.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
294.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify108.0ms

Counts
83 → 83

prune313.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify34.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
577.0ms4265×body80valid
371.0ms1918×body640valid
120.0ms1210×body320valid
74.0ms607×body160valid