Details

Time bar (total: 15.2s)

sample30.0ms

Algorithm
intervals
Results
9.0ms70×body640valid
5.0ms131×body80valid
4.0ms34×body320valid
2.0ms21×body160valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
3.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
662×*-un-lft-identity
589×times-frac
496×add-sqr-sqrt
378×prod-diff
368×add-cube-cbrt
86×associate-/r/
79×distribute-lft-out--
76×distribute-lft-out
62×difference-of-squares
44×div-inv
24×flip-+
23×flip3-+
21×flip--
20×flip3--
18×fma-neg
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
17.0ms
(/ 1.0 (- x 1.0))
19.0ms
(/ 1.0 (+ x 1.0))
144.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series290.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1.0 (- x 1.0))
35.0ms
(/ 1.0 (+ x 1.0))
222.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.5s

Counts
513 → 513
Iterations

Useful iterations: done (2.4s)

IterNodesCost
052524322
1125221814
2430717010
done500017008

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b
(- (- x 1.0) (+ x 1.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
39×add-sqr-sqrt
29×prod-diff
27×add-cube-cbrt
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
10×difference-of-squares
7×distribute-lft-out
6×diff-log
5×fma-neg
4×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 expm1-log1p-u sub-neg flip3-+ sum-log associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 99
Calls
2 calls:
15.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
93.0ms
(- (- x 1.0) (+ x 1.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.9s

Counts
105 → 105
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01961915
15511583
232861334
done50011332

prune263.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.6b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv expm1-log1p-u flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 82
Calls
2 calls:
68.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
24.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
49.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.0s

Counts
88 → 88
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01621355
14981301
228231183
done50011179

prune316.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cbrt 1.0) (- x 1.0))
0.0b
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
0.1b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (/ (cbrt 1.0) (- x 1.0)) (- 2.0)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log *-un-lft-identity
40×add-sqr-sqrt
38×times-frac
34×add-cbrt-cube
26×add-cube-cbrt
19×prod-exp cbrt-unprod
18×cbrt-prod
12×cbrt-undiv div-exp
10×associate-*l*
9×associate-/r*
8×pow1
7×associate-/l* distribute-lft-out-- difference-of-squares
6×associate-/r/
3×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u div-inv distribute-lft-out add-log-exp
2×frac-2neg flip3-+ clear-num distribute-rgt-neg-out flip-+
1×frac-times flip3-- associate-*r/ associate-*r* *-commutative flip--
Counts
3 → 129
Calls
3 calls:
24.0ms
(/ (cbrt 1.0) (- x 1.0))
36.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
139.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (/ (cbrt 1.0) (- x 1.0)) (- 2.0)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (cbrt 1.0) (- x 1.0))
97.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
204.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (/ (cbrt 1.0) (- x 1.0)) (- 2.0)))

simplify3.4s

Counts
138 → 138
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02402454
16852261
239131911
done50001713

prune529.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify22.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11719
22519
33119
43319
53519
done3519

end0.0ms

sample1.3s

Algorithm
intervals
Results
402.0ms1918×body640valid
318.0ms4197×body80valid
268.0ms1263×body320valid
56.0ms622×body160valid