Details

Time bar (total: 38.0s)

sample38.0ms

Algorithm
intervals
Results
12.0ms52×body640valid
8.0ms133×body80valid
7.0ms42×body320valid
3.0ms29×body160valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
113
07

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
4.4b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
48×times-frac
43×add-sqr-sqrt
23×distribute-lft-out--
19×add-cube-cbrt
10×distribute-lft-out
9×difference-of-squares
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube associate-/r/ add-log-exp
3×pow1 associate-/l*
2×div-exp flip-+ insert-posit16 flip--
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub pow-flip inv-pow
Counts
2 → 78
Calls
2 calls:
18.0ms
(/ 1 (+ x 1))
37.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (+ x 1))
83.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify12.7s

Counts
84 → 84
Iterations
IterNodes
44437
31792
2759
1295
0136

prune662.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 1)
0.5b
(/ -2 (- (* x x) 1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×difference-of-sqr-1
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 58
Calls
2 calls:
15.0ms
(- (* x x) 1)
21.0ms
(/ -2 (- (* x x) 1))

series105.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(- (* x x) 1)
37.0ms
(/ -2 (- (* x x) 1))

simplify3.2s

Counts
64 → 64
Iterations
IterNodes
44905
31510
2536
1230
0110

prune478.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -2 (+ x 1))
0.1b
(/ (/ -2 (+ x 1)) (- x 1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 203
Calls
2 calls:
8.0ms
(/ -2 (+ x 1))
25.0ms
(/ (/ -2 (+ x 1)) (- x 1))

series91.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ -2 (+ x 1))
66.0ms
(/ (/ -2 (+ x 1)) (- x 1))

simplify9.8s

Counts
209 → 209
Iterations
IterNodes
35260
21709
1675
0281

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ -2 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
14.5b
(cbrt (- (* x x) 1))
14.5b
(cbrt (- (* x x) 1))
14.5b
(cbrt (- (* x x) 1))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod cbrt-div
12×add-sqr-sqrt *-un-lft-identity
9×flip3-- add-exp-log add-cube-cbrt flip--
8×associate-/r/
7×add-cbrt-cube
6×difference-of-squares
4×frac-times pow1 insert-posit16 add-log-exp
3×times-frac pow1/3 difference-of-sqr-1 associate-/l*
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 81
Calls
4 calls:
25.0ms
(/ -2 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
5.0ms
(cbrt (- (* x x) 1))
5.0ms
(cbrt (- (* x x) 1))
17.0ms
(cbrt (- (* x x) 1))

series638.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ -2 (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
152.0ms
(cbrt (- (* x x) 1))
147.0ms
(cbrt (- (* x x) 1))
172.0ms
(cbrt (- (* x x) 1))

simplify5.5s

Counts
93 → 93
Iterations
IterNodes
45481
31920
2712
1302
0140

prune849.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample2.1s

Algorithm
intervals
Results
769.0ms1935×body640valid
516.0ms612×body160valid
363.0ms4210×body80valid
306.0ms1243×body320valid