Details

Time bar (total: 17.9s)

sample36.0ms

Algorithm
intervals
Results
12.0ms70×body640valid
6.0ms141×body80valid
3.0ms25×body320valid
2.0ms20×body160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite139.0ms

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:
24.0ms
(/ 1.0 (+ x 1.0))
110.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series125.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1.0 (+ x 1.0))
79.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.8s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.5b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
4×pow1 times-frac associate-*l* associate-*l/ associate-/l*
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ add-log-exp difference-of-squares
1×flip3-- frac-2neg sub0-neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out unswap-sqr
Counts
2 → 50
Calls
2 calls:
35.0ms
(* (+ x 1.0) x)
22.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series128.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (+ x 1.0) x)
67.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
0108700
1282629
2984531
done5001531

prune149.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
151×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
36×associate-/l*
31×distribute-lft-out
21×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 190
Calls
2 calls:
15.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
43.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

series115.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
71.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

simplify1.8s

Counts
196 → 196
Iterations

Useful iterations: 2 (520.0ms)

IterNodesCost
02883381
16823177
219933071
done50003071

prune506.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)) (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)))
12.2b
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
12.2b
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
12.2b
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))

rewrite518.0ms

Algorithm
rewrite-expression-head
Rules
1302×times-frac
852×*-un-lft-identity
754×cbrt-prod
548×add-sqr-sqrt
492×add-cube-cbrt
162×distribute-lft-out
133×swap-sqr
97×associate-*r* associate-*l*
96×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
42×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 → 673
Calls
4 calls:
365.0ms
(* (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)) (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)))
16.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
24.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
13.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))

series834.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)) (cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)))
175.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
225.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))
195.0ms
(cbrt (/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x))

simplify3.2s

Counts
685 → 685
Iterations

Useful iterations: done (3.2s)

IterNodesCost
077620436
1136819232
2413819057
done500018796

prune3.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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
0710
11310
21510
done1510

end0.0ms

sample1.4s

Algorithm
intervals
Results
751.0ms1924×body640valid
240.0ms4262×body80valid
185.0ms1203×body320valid
49.0ms613×body160valid