Details

Time bar (total: 10.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify2.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (287.0ms)

IterNodesCost
091630
1206607
2532569
31288560
43364560
done5001560

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b
(log (exp (/ (+ x 1.0) (- 1.0 x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
11.0ms
(/ (+ x 1.0) (- 1.0 x))
19.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
23.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))
89.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
36.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))

simplify2.6s

Counts
126 → 126
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01621517
13101377
27171292
317271260
443881258
done50011258

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b
(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
0.0b
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
104×exp-prod
80×add-sqr-sqrt times-frac
58×log-pow
54×sqrt-pow1
48×add-cube-cbrt
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
12×log-prod
8×pow1 associate-/r/
6×add-exp-log sqrt-prod add-log-exp
4×flip3-- add-cbrt-cube flip-- div-inv
2×pow1/2 rem-log-exp rem-exp-log
Counts
4 → 154
Calls
4 calls:
19.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
19.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
25.0ms
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
22.0ms
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
92.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
185.0ms
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))
190.0ms
(log (sqrt (exp (/ (+ x 1.0) (- 1.0 x)))))

simplify1.9s

Counts
166 → 166
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01381992
12301764
24501664
39441622
420551618
done50011610

prune647.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x))))
0.0b
(log (exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))))
0.1b
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
0.1b
(/ (sqrt (+ x 1.0)) (- 1.0 x))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
91×add-sqr-sqrt
74×times-frac
53×sqrt-prod
45×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
7×pow1 associate-*l* associate-/l* add-log-exp
6×sqrt-div unswap-sqr
5×associate-/r*
4×associate-/r/
3×log-prod flip3-+ log-pow flip-+
2×cbrt-undiv frac-times exp-prod flip3-- exp-to-pow div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative rem-exp-log
Counts
4 → 159
Calls
4 calls:
3.0ms
(exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x))))
1.0ms
(log (exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))))
42.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
12.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

series251.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x))))
35.0ms
(log (exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))))
32.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
96.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

simplify1.1s

Counts
171 → 171
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02302917
15172411
215532189
done50002183

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample210.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid