Details

Time bar (total: 6.5s)

sample77.0ms

Algorithm
intervals
Results
28.0ms99×body1280valid
16.0ms86×body640valid
6.0ms386×pre80true
5.0ms42×body320valid
4.0ms136×body80valid
2.0ms23×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04112
16112
27112
done7112

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b
(- (exp x) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
18.0ms
(- (exp x) 1.0)

series26.0ms

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

simplify3.0s

Counts
31 → 31
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0669074
11497499
23115777
38585728
422055218
done50015193

prune103.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (fma 1/6 x 1/2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×fma-udef
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
6.0ms
(* x (fma 1/6 x 1/2))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* x (fma 1/6 x 1/2))

simplify2.8s

Counts
25 → 25
Iterations

Useful iterations: 3 (427.0ms)

IterNodesCost
0434554
1923855
22383855
312713655
done50393655

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (fma 1/6 x 1/2))
5.7b
(log (exp (* x (fma 1/6 x 1/2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 log-prod *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log fma-udef
3×associate-*r* associate-*l* log-pow add-log-exp
2×distribute-rgt-in expm1-log1p-u distribute-lft-in exp-sum log1p-expm1-u
1×exp-prod exp-to-pow rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
12.0ms
(* x (fma 1/6 x 1/2))
5.0ms
(log (exp (* x (fma 1/6 x 1/2))))

series174.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* x (fma 1/6 x 1/2))
79.0ms
(log (exp (* x (fma 1/6 x 1/2))))

simplify68.0ms

Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07011227
11267490