Details

Time bar (total: 8.7s)

sample25.0ms

Algorithm
intervals
Results
14.0ms338×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2157
done157

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x x) 2.0)
0.0b
(- (* (* x x) 2.0) 1.0)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
18.0ms
(* (* x x) 2.0)
28.0ms
(- (* (* x x) 2.0) 1.0)

series140.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (* x x) 2.0)
99.0ms
(- (* (* x x) 2.0) 1.0)

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
060335
1140317
2414275
31099275
42312275
done5000275

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
26.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
19.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
18.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
219.0ms
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
337.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
332.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
318.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
401.0ms
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

simplify3.0s

Counts
99 → 99
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01822553
14242324
212592209
345201899
done50001819

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms