Details

Time bar (total: 5.3s)

sample16.0ms

Algorithm
intervals
Results
4.0ms56×body640valid
3.0ms132×body80valid
2.0ms40×body320valid
1.0ms28×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124
done124

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
11.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
58.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify158.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266392
1898369
24185367
35001367
done5001367

prune123.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

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))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out 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 → 63
Calls
3 calls:
20.0ms
(* (+ x 1.0) x)
36.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
16.0ms
(- x (+ x 1.0))

series90.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify55.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0345395
12045325
25003316
done5003316

prune121.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 474
Calls
2 calls:
25.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
53.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series67.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify85.0ms

Counts
480 → 480
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015825673
150015480
done50015480

prune932.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
1254×times-frac
1135×*-un-lft-identity
737×cbrt-prod
723×add-sqr-sqrt
475×add-cube-cbrt
159×distribute-lft-out
152×swap-sqr
132×distribute-lft-out--
96×difference-of-squares
86×associate-*r* associate-*l*
49×associate-/r/
28×div-inv
21×flip3-- flip--
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 637
Calls
4 calls:
210.0ms
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
14.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
18.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
14.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

series641.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
155.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
150.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
159.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

simplify194.0ms

Counts
649 → 649
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
0110010994
1476110886
2500110651
done500110651

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample407.0ms

Algorithm
intervals
Results
125.0ms1856×body640valid
82.0ms4258×body80valid
60.0ms1236×body320valid
25.0ms650×body160valid