Details

Time bar (total: 17.2s)

sample39.0ms

Algorithm
intervals
Results
12.0ms65×body640valid
6.0ms133×body80valid
5.0ms38×body320valid
2.0ms20×body160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize16.0ms

Local error

Found 1 expressions with local error:

2.4b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac
344×*-un-lft-identity
255×add-sqr-sqrt
243×add-cube-cbrt
234×prod-diff
45×distribute-lft-out
34×div-inv
28×associate-/r/
18×fma-neg
14×flip3-+ flip-+
8×distribute-lft-out--
4×difference-of-squares
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 279
Calls
1 calls:
159.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series114.0ms

Counts
1 → 3
Calls
1 calls:
114.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.4s

Counts
282 → 282
Iterations

Useful iterations: done (3.4s)

IterNodesCost
036411776
183610290
227897870
done50006540

prune859.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b
(- x (+ x 1.0))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
43.0ms
(* (+ x 1.0) x)
107.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
41.0ms
(- x (+ x 1.0))

series180.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* (+ x 1.0) x)
73.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms
(- x (+ x 1.0))

simplify4.5s

Counts
93 → 93
Iterations

Useful iterations: done (4.5s)

IterNodesCost
01451352
14231040
23437783
done5001762

prune398.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
28×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
10×add-exp-log add-cbrt-cube associate-/l*
8×associate-/r/
5×cbrt-undiv div-exp div-inv
4×flip3-+ flip-+ distribute-lft-out
3×associate-/r*
2×distribute-frac-neg
1×pow1 distribute-lft-neg-out expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 63
Calls
1 calls:
49.0ms
(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (/ (* (- 1.0) 1.0) (+ x 1.0)) x)

simplify2.6s

Counts
66 → 66
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01591127
14401057
22921982
done5001976

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
82.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
8.0ms
(cbrt (+ x 1.0))
10.0ms
(cbrt (+ x 1.0))
11.0ms
(cbrt (+ x 1.0))

series657.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
157.0ms
(cbrt (+ x 1.0))
157.0ms
(cbrt (+ x 1.0))
164.0ms
(cbrt (+ x 1.0))

simplify1.3s

Counts
115 → 115
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01431535
13471385
212881323
done50001251

prune718.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21310
31510
done1510

end0.0ms

sample1.3s

Algorithm
intervals
Results
358.0ms1931×body640valid
322.0ms1236×body320valid
263.0ms4178×body80valid
111.0ms656×body160valid