Details

sample399.0ms

Algorithm

intervals

Results

146.0ms	1336×	body	80	nan
105.0ms	386×	body	80	valid
12.0ms	16×	body	640	valid
6.0ms	14×	body	320	valid
4.0ms	2×	body	1280	valid
3.0ms	11×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	17	497
1	31	472
2	62	472
3	135	472
4	347	472
5	1044	472
done	5000	472

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
4.8b	(log (- 1.0 z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

20.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
28.0ms	(* a (- (log (- 1.0 z)) b))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series844.0ms

Counts

4 → 12

Calls

4 calls:

391.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
89.0ms	(* a (- (log (- 1.0 z)) b))
293.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
70.0ms	(log (- 1.0 z))

simplify4.2s

Counts

124 → 124

Iterations

Useful iterations: 3 (2.9s)

Iter	Nodes	Cost
0	264	51298
1	613	46602
2	1510	41415
3	4993	41075
done	5000	41075

prune839.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate--l+`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
8×	`pow1`
7×	`add-log-exp`
6×	`log-prod` `add-cbrt-cube`
5×	`add-exp-log`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`exp-prod` `sub-neg` `associate-r` `fma-udef`
2×	`exp-sum` `log-pow`
1×	`flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`

Counts

4 → 80

Calls

4 calls:

2.0ms	(exp (fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b))))
25.0ms	(- (* a (- (log 1.0) (* 1.0 z))) (* a b))
19.0ms	(* (exp (fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b)))) x)
0.0ms	(fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b)))

series767.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(exp (fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b))))
100.0ms	(- (* a (- (log 1.0) (* 1.0 z))) (* a b))
296.0ms	(* (exp (fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b)))) x)
175.0ms	(fma y (- (log z) t) (- (* a (- (log 1.0) (* 1.0 z))) (* a b)))

simplify159.0ms

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	142	40061