Details

sample243.0ms

Algorithm

intervals

Results

127.0ms	821×	body	80	nan
20.0ms	191×	body	80	valid
17.0ms	15×	body	1280	valid
14.0ms	25×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify15.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	17
1	27	16
2	57	16
3	130	16
4	281	16
5	649	16
6	1372	16
7	2484	16
8	3329	16
9	3557	16
10	3561	16
done	3561	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
5.6b	(log (- 1.0 y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`log-prod`
9×	`prod-diff`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `fma-udef`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

53.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
15.0ms	(log (- 1.0 y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- z 1.0) (log (- 1.0 y)))
227.0ms	(- (fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y)))) t)
154.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
72.0ms	(log (- 1.0 y))

simplify3.3s

Counts

104 → 104

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	214	1881
1	483	1718
2	1308	1515
3	4017	1384
done	5000	1382

prune559.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.1b	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
80×	`times-frac`
74×	`associate-r`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
56×	`unpow-prod-down`
33×	`prod-diff`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`unswap-sqr`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`pow1`
11×	`prod-exp` `add-cbrt-cube`
9×	`div-exp`
8×	`associate-l`
7×	`flip3--` `associate--l+` `log-pow` `flip--`
6×	`pow-to-exp` `log-prod` `pow-exp` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `fma-neg` `associate-*r/` `cbrt-unprod` `difference-of-squares`
2×	`pow-prod-down` `associate-l/` `-commutative` `fma-udef`
1×	`cbrt-undiv` `diff-log` `div-inv`

Counts

4 → 218

Calls

4 calls:

61.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
13.0ms	(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
64.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
269.0ms	(- (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
81.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
173.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify2.2s

Counts

230 → 230

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	445	6887
1	964	5493
2	2718	4541
done	5000	3896

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

57.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
7.0ms	(cbrt (- z 1.0))
8.0ms	(cbrt (- z 1.0))
8.0ms	(cbrt (- z 1.0))

series662.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
156.0ms	(cbrt (- z 1.0))
146.0ms	(cbrt (- z 1.0))
194.0ms	(cbrt (- z 1.0))

simplify1.8s

Counts

121 → 121

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	171	1613
1	386	1452
2	1024	1384
3	2780	1286
done	5000	1278

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.1b	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.6b	(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.7b	(pow (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
78×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
44×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
25×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`cbrt-prod` `div-exp` `add-cbrt-cube`
7×	`pow1` `pow-to-exp` `pow-exp`
6×	`cube-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`pow-pow` `pow1/3` `cbrt-unprod`
1×	`cbrt-undiv` `cube-mult` `unpow3` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 167

Calls

4 calls:

69.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
1.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
2.0ms	(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
21.0ms	(pow (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

series5.0s

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
206.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
2.9s	(cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.8s	(pow (cbrt (fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

simplify1.7s

Counts

179 → 179

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	394	4251
1	985	3786
2	2764	3160
done	5000	3129

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

Details

sample243.0ms

simplify15.2s

prune13.0ms

localize25.0ms

rewrite80.0ms

series525.0ms

simplify3.3s

prune559.0ms

localize41.0ms

rewrite161.0ms

series623.0ms

simplify2.2s

prune1.4s

localize49.0ms

rewrite89.0ms

series662.0ms

simplify1.8s

prune1.1s

localize45.0ms

rewrite107.0ms

series5.0s

simplify1.7s

prune1.3s

regimes8.0ms