Details

Time bar (total: 18.7s)

sample161.0ms

Algorithm
intervals
Results
39.0ms816×body80nan
16.0ms256×body80valid

simplify74.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
297
done97

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
6×log-prod
4×div-inv add-log-exp difference-of-squares
3×pow1 add-exp-log
2×expm1-log1p-u log-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
33.0ms
(log (- (/ 1.0 x) 1.0))
51.0ms
(- (/ 1.0 x) 1.0)

series150.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(log (- (/ 1.0 x) 1.0))
76.0ms
(- (/ 1.0 x) 1.0)

simplify2.7s

Counts
94 → 94
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01571601
13181202
2681993
32426816
done5001720

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
0.1b
(sqrt (/ 1.0 x))
0.1b
(sqrt (/ 1.0 x))
0.5b
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
437×sqrt-prod
304×add-sqr-sqrt
288×prod-diff
280×*-un-lft-identity
268×add-cube-cbrt
195×times-frac
98×distribute-rgt-in distribute-lft-in
21×div-inv
16×fma-neg
12×difference-of-squares
11×associate-*r*
8×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u frac-times rem-sqrt-square flip3-- flip-- log1p-expm1-u distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×sqrt-pow1 pow1/2 sqrt-div associate-*r/ associate-*l/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 422
Calls
4 calls:
67.0ms
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
8.0ms
(sqrt (/ 1.0 x))
8.0ms
(sqrt (/ 1.0 x))
259.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
92.0ms
(sqrt (/ 1.0 x))
78.0ms
(sqrt (/ 1.0 x))
301.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

simplify2.7s

Counts
434 → 434
Iterations

Useful iterations: done (2.6s)

IterNodesCost
045315579
1121311664
234309380
done50009367

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.3b
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×*-un-lft-identity
53×add-cube-cbrt
42×times-frac
39×prod-diff
30×cbrt-prod
27×log-prod
18×associate-+l+
13×fma-neg
12×difference-of-squares
9×distribute-rgt-in associate-+r+ distribute-lft-in
7×add-log-exp
6×cbrt-div distribute-lft-out--
5×pow1
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u div-inv
2×associate-+r- log-div distribute-rgt-out pow1/3
1×+-commutative sub-neg fma-def distribute-lft1-in flip3-+ diff-log sum-log log-pow flip-+
Counts
4 → 151
Calls
4 calls:
25.0ms
(- (/ 1.0 x) 1.0)
70.0ms
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
11.0ms
(cbrt (- (/ 1.0 x) 1.0))
15.0ms
(cbrt (- (/ 1.0 x) 1.0))

series846.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (/ 1.0 x) 1.0)
371.0ms
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
195.0ms
(cbrt (- (/ 1.0 x) 1.0))
211.0ms
(cbrt (- (/ 1.0 x) 1.0))

simplify1.5s

Counts
163 → 163
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02702974
16252355
215332027
done50001834

prune687.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
0.5b
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×cbrt-prod
15×*-un-lft-identity
9×add-cube-cbrt unpow-prod-down
8×cbrt-div
6×difference-of-squares
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow flip3-- times-frac flip-- distribute-lft-out--
2×pow-pow associate-*r/ unpow2
1×pow-to-exp pow3 pow-exp rem-cbrt-cube sqr-pow
Counts
4 → 77
Calls
4 calls:
11.0ms
(cbrt (- (/ 1.0 x) 1.0))
11.0ms
(cbrt (- (/ 1.0 x) 1.0))
53.0ms
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
45.0ms
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

series856.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (- (/ 1.0 x) 1.0))
155.0ms
(cbrt (- (/ 1.0 x) 1.0))
224.0ms
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
256.0ms
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

simplify3.0s

Counts
89 → 89
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01861596
14591362
212251239
343201159
done50001158

prune466.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11217
done1217

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s23585×body80nan
527.0ms8000×body80valid