Details

Time bar (total: 27.7s)

sample237.0ms

Algorithm
intervals
Results
112.0ms836×body80nan
18.0ms184×body80valid
14.0ms28×body640valid
10.0ms8×body1280valid
8.0ms25×body320valid
2.0ms11×body160valid

simplify8.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
014425
127400
257400
3130400
4304400
5620400
61322400
72850400
done5001400

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.2b
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
6.2b
(log (- 1.0 y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
15×log-prod
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l*
4×associate-*r* distribute-lft-out-- difference-of-squares
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×log-div flip3-- associate-*l/ log-pow flip--
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 63
Calls
3 calls:
35.0ms
(* (- z 1.0) (log (- 1.0 y)))
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
6.0ms
(log (- 1.0 y))

series335.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (- z 1.0) (log (- 1.0 y)))
186.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
82.0ms
(log (- 1.0 y))

simplify3.3s

Counts
72 → 72
Iterations

Useful iterations: done (3.3s)

IterNodesCost
016024159
138021770
2104121140
3362921055
done500021031

prune621.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))
0.2b
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity
24×prod-diff
20×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
11×pow1
7×log-pow
6×log-prod flip3-- associate-*r* associate--l+ flip--
5×associate-*l*
4×frac-times add-cbrt-cube add-exp-log
3×distribute-lft-out--
2×expm1-log1p-u sub-neg associate-*l/ associate-*r/ log1p-expm1-u add-log-exp difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 77
Calls
2 calls:
66.0ms
(* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))
0.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))

series262.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))
178.0ms
(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))

simplify3.0s

Counts
83 → 83
Iterations

Useful iterations: done (3.0s)

IterNodesCost
018755932
144350608
2165345816
done500345766

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))))
0.6b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
0.6b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
0.6b
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
1.0ms
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))

series10.0s

Counts
4 → 12
Calls
4 calls:
2.9s
(* (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))) (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y)))))))
2.3s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
2.4s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))
2.4s
(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))))))

simplify631.0ms

Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
021883073