Details

Time bar (total: 14.2s)

sample33.0ms

Algorithm
intervals
Results
9.0ms58×body640valid
6.0ms135×body80valid
4.0ms36×body320valid
2.0ms27×body160valid

simplify22.0ms

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: 16.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
4.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite220.0ms

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:
11.0ms
(/ 1.0 (- x 1.0))
13.0ms
(/ 1.0 (+ x 1.0))
124.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series299.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1.0 (- x 1.0))
34.0ms
(/ 1.0 (+ x 1.0))
229.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts
513 → 513
Iterations

Useful iterations: done (2.6s)

IterNodesCost
052524322
1119421760
2266016242
done500212452

prune609.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.9b
(- (- x 1.0) (+ x 1.0))

rewrite91.0ms

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:
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
74.0ms
(- (- x 1.0) (+ x 1.0))

series76.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.6s

Counts
105 → 105
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01961915
14921565
218691321
done50001113

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (/ (* (- (- 0 1.0) 1.0) (- x (- 0 x))) (- x (- 0 x))))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-sqr-sqrt
26×*-un-lft-identity
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt
18×associate-*l*
12×associate-*r*
8×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
6×associate-/r/
4×pow1 associate-/r*
3×flip3-- flip-- div-inv associate-/l* distribute-lft-out--
2×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 93
Calls
2 calls:
211.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (/ (* (- (- 0 1.0) 1.0) (- x (- 0 x))) (- x (- 0 x))))
23.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (/ (* (- (- 0 1.0) 1.0) (- x (- 0 x))) (- x (- 0 x))))
60.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts
99 → 99
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02032672
15912395
222091494
done50011411

prune344.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)) (- (- 1.0) 1.0)))

rewrite699.0ms

Algorithm
rewrite-expression-head
Rules
128×distribute-rgt-in distribute-lft-in
122×*-un-lft-identity
120×prod-diff
116×add-sqr-sqrt
102×add-cube-cbrt
46×add-exp-log
38×times-frac
36×distribute-lft-neg-in distribute-rgt-neg-in
34×add-cbrt-cube
19×prod-exp cbrt-unprod
18×cbrt-prod
12×cbrt-undiv neg-mul-1 div-exp
10×associate-*l*
9×frac-times associate-*r/ associate-/r*
8×pow1
7×associate-/l* distribute-lft-out-- difference-of-squares
6×associate-/r/
5×flip3-- flip--
4×sub-neg
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 flip-+
1×associate-*r* *-commutative
Counts
3 → 264
Calls
3 calls:
24.0ms
(/ (cbrt 1.0) (- x 1.0))
18.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
617.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (/ (cbrt 1.0) (- x 1.0)) (- (- 1.0) 1.0)))

series427.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ (cbrt 1.0) (- x 1.0))
142.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
189.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (/ (cbrt 1.0) (- x 1.0)) (- (- 1.0) 1.0)))

simplify3.0s

Counts
273 → 273
Iterations

Useful iterations: done (2.9s)

IterNodesCost
049310094
113288396
237285306
done50015206

prune523.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
done1213

end0.0ms

sample1.2s

Algorithm
intervals
Results
485.0ms1903×body640valid
247.0ms4221×body80valid
160.0ms1225×body320valid
99.0ms651×body160valid