Details

Time bar (total: 15.1s)

sample56.0ms

Algorithm
intervals
Results
18.0ms74×body1280valid
13.0ms78×body10240exit
9.0ms56×body640valid
3.0ms91×body80valid
2.0ms22×body320valid
1.0ms13×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
287
done87

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
4.4b
(- (exp x) 1.0)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
59.0ms
(/ (exp x) (- (exp x) 1.0))
21.0ms
(- (exp x) 1.0)

series86.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (exp x) (- (exp x) 1.0))
32.0ms
(- (exp x) 1.0)

simplify3.1s

Counts
57 → 57
Iterations

Useful iterations: 4 (943.0ms)

IterNodesCost
091640
1181614
2410579
3804577
42199576
done5000576

prune223.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
0.1b
(* (pow x 2) (+ (* 1/6 x) 1/2))
0.4b
(* 1/6 x)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log associate-*l*
9×times-frac add-cbrt-cube
6×associate-*r*
5×pow1 unswap-sqr
4×unpow-prod-down prod-exp
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in div-exp pow-prod-down pow-exp clear-num div-inv
Counts
3 → 78
Calls
3 calls:
56.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
56.0ms
(* (pow x 2) (+ (* 1/6 x) 1/2))
7.0ms
(* 1/6 x)

series185.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
99.0ms
(* (pow x 2) (+ (* 1/6 x) 1/2))
28.0ms
(* 1/6 x)

simplify1.6s

Counts
87 → 87
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
01601282
14021204
212571109
done50001109

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.4b
(* 1/12 x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
31.0ms
(+ (* 1/12 x) (/ 1 x))
14.0ms
(* 1/12 x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* 1/12 x) (/ 1 x))
26.0ms
(* 1/12 x)

simplify2.6s

Counts
35 → 35
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
051269
1133247
2315225
3659225
41942225
done5000225

prune95.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
4.4b
(- 1 (/ 1.0 (exp x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ 1.0 (exp x))
60.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
32.0ms
(- 1 (/ 1.0 (exp x)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ 1.0 (exp x))
76.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
38.0ms
(- 1 (/ 1.0 (exp x)))

simplify6.1s

Counts
106 → 106
Iterations

Useful iterations: 4 (4.2s)

IterNodesCost
01621303
13101155
25801099
312821094
441611092
done50011092

prune279.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes1.0ms