Details

Time bar (total: 12.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune1.0ms

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 3.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
36.0ms
(- x (/ 1.0 3.0))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- x (/ 1.0 3.0))

simplify3.4s

Counts
62 → 62
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01541713
13591497
2912998
33140729
done5000402

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(log1p (- x (/ 1.0 3.0)))
2.0b
(expm1 (log1p (- x (/ 1.0 3.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
40×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
28×times-frac
5×add-log-exp
4×expm1-log1p-u
3×pow1 add-exp-log fma-neg add-cbrt-cube log1p-expm1-u div-inv
2×difference-of-squares
1×sub-neg log1p-udef expm1-log1p flip3-- diff-log log1p-expm1 flip-- distribute-lft-out-- expm1-udef
Counts
3 → 81
Calls
3 calls:
29.0ms
(- x (/ 1.0 3.0))
1.0ms
(log1p (- x (/ 1.0 3.0)))
1.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

series366.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ 1.0 3.0))
84.0ms
(log1p (- x (/ 1.0 3.0)))
257.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

simplify3.7s

Counts
90 → 90
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02302053
15331799
213581256
34242961
done5000959

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (cbrt 3.0) 3)
1.0b
(pow (cbrt 3.0) 3)
1.0b
(pow (cbrt 3.0) 3)
2.0b
(expm1 (log1p (+ (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod unpow-prod-down cube-prod
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cube-mult pow-to-exp pow1/3 unpow3 pow-exp rem-cube-cbrt sqr-pow
1×expm1-log1p expm1-udef
Counts
4 → 107
Calls
4 calls:
7.0ms
(pow (cbrt 3.0) 3)
5.0ms
(pow (cbrt 3.0) 3)
4.0ms
(pow (cbrt 3.0) 3)
0.0ms
(expm1 (log1p (+ (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))))))

series358.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(pow (cbrt 3.0) 3)
0.0ms
(pow (cbrt 3.0) 3)
0.0ms
(pow (cbrt 3.0) 3)
358.0ms
(expm1 (log1p (+ (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))))))

simplify3.9s

Counts
113 → 113
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01011204
1238590
2525506
31254474
43326464
done5000464

prune307.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms