Details

sample180.0ms

Algorithm

intervals

Results

74.0ms	1314×	body	80	nan
25.0ms	398×	body	80	valid
6.0ms	15×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	1280	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	10
5	5001	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.6b	(log (- 1.0 z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

96×	`prod-diff`
91×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
37×	`log-prod`
35×	`pow1`
34×	`associate-+l+`
32×	`associate--l+`
27×	`log-pow`
12×	`associate-r/` `associate-r*`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 230

Calls

4 calls:

21.0ms	(* a (- (log (- 1.0 z)) b))
15.0ms	(* y (- (log z) t))
20.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series388.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* a (- (log (- 1.0 z)) b))
73.0ms	(* y (- (log z) t))
194.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
44.0ms	(log (- 1.0 z))

simplify109.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	959	2405
1	3910	1813
2	5001	1810

prune697.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a b (* 1.0 (* a z)))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

60×	`prod-diff`
53×	`add-sqr-sqrt` `*-un-lft-identity`
47×	`add-cube-cbrt`
34×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
24×	`pow1`
18×	`log-pow`
15×	`log-prod` `associate--l+`
7×	`add-log-exp`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
5×	`sub-neg`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate-l`
2×	`flip3--` `associate-*r/` `flip--` `fma-udef` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

0.0ms	(fma a b (* 1.0 (* a z)))
5.0ms	(- (log z) t)
15.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma a b (* 1.0 (* a z)))
58.0ms	(- (log z) t)
76.0ms	(* y (- (log z) t))
167.0ms	(+ (* y (- (log z) t)) (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	430	1486
1	1610	1078
2	5001	1065

prune556.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
0.2b	(pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3)
31.5b	(cbrt (pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
12×	`cbrt-prod` `prod-diff`
10×	`pow1`
6×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`pow-unpow` `log-prod` `associate--l+`
2×	`cube-mult` `unpow3` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow1/3` `diff-log` `pow-exp` `flip--` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

4.0ms	(- (log z) t)
0.0ms	(fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
1.0ms	(pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3)
1.0ms	(cbrt (pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3))

series7.4s

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (log z) t)
164.0ms	(fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z))))))
7.0s	(pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3)
152.0ms	(cbrt (pow (fma (- (log z) t) y (fma a (log 1.0) (- (fma a b (* 1.0 (* a z)))))) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	336	1145
1	1253	982
2	5002	970

prune395.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	40081×	body	80	nan
788.0ms	12257×	body	80	valid
133.0ms	379×	body	640	valid
94.0ms	429×	body	320	valid
59.0ms	81×	body	1280	valid
34.0ms	253×	body	160	valid