Details

Time bar (total: 7.4s)

sample18.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms135×body80valid
2.0ms35×body320valid
1.0ms20×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

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))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
52.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.3s

Counts
320 → 320
Iterations

Useful iterations: done (1.2s)

IterNodesCost
038712162
187210606
225987734
done50007698

prune386.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

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))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ 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 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
25.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms
(- x (+ x 1.0))

series102.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (+ x 1.0) x)
42.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify984.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
01451352
14171032
22197752
done5000752

prune137.0ms

Pruning

4 alts after pruning (4 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))
0.1b
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×distribute-lft-out associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×flip3-+ distribute-frac-neg associate-*l/ distribute-rgt-neg-out flip-+ associate-/l/
Counts
2 → 62
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1.0 (+ x 1.0))
34.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify640.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0130827
1342769
21693670
done5000670

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
20.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(cbrt (+ x 1.0))
85.0ms
(cbrt (+ x 1.0))
85.0ms
(cbrt (+ x 1.0))
102.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify2.3s

Counts
115 → 115
Iterations

Useful iterations: 3 (577.0ms)

IterNodesCost
01431535
13261397
211101323
342341174
done50001174

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
31810
done1810

end0.0ms

sample403.0ms

Algorithm
intervals
Results
145.0ms1911×body640valid
83.0ms4226×body80valid
68.0ms1264×body320valid
22.0ms600×body160valid