Details

Time bar (total: 6.0s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify15.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
25.0ms
(/ 1.0 (- x 1.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ 1.0 (- x 1.0))

simplify1.1s

Counts
40 → 40

prune118.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.3b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt times-frac
22×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 77
Calls
2 calls:
27.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
113.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
62.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify1.1s

Counts
83 → 83

prune327.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.2s

end0.0ms

sample700.0ms

Algorithm
intervals
Results
484.0ms8000×body80valid