Details

sample166.0ms

Algorithm

intervals

Results

40.0ms	45×	body	1280	valid
34.0ms	41×	body	10240	exit
21.0ms	43×	body	640	valid
12.0ms	121×	body	80	valid
11.0ms	32×	body	320	valid
6.0ms	83×	body	80	nan
5.0ms	14×	body	640	nan
4.0ms	2×	body	2560	valid
3.0ms	14×	body	160	valid
1.0ms	7×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	1×	body	160	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 10 (612.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	35	12
3	53	12
4	77	12
5	106	12
6	138	12
7	176	12
8	232	12
9	295	12
10	459	10
11	498	10
12	500	10
done	500	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (log (fma (expm1 z) y 1.0)) t))
0.1b	(/ (log (fma (expm1 z) y 1.0)) t)
3.3b	(log (fma (expm1 z) y 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
49×	`times-frac`
48×	`prod-diff`
17×	`pow1`
14×	`log-pow`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `log-prod` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

3 → 115

Calls

3 calls:

29.0ms	(- x (/ (log (fma (expm1 z) y 1.0)) t))
14.0ms	(/ (log (fma (expm1 z) y 1.0)) t)
3.0ms	(log (fma (expm1 z) y 1.0))

series391.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (log (fma (expm1 z) y 1.0)) t))
208.0ms	(/ (log (fma (expm1 z) y 1.0)) t)
97.0ms	(log (fma (expm1 z) y 1.0))

simplify2.0s

Counts

124 → 124

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	252	4198
1	580	3760
2	1528	2551
done	5001	2111

prune480.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (log (fma (expm1 z) y 1.0)) (/ 1 t)))
0.1b	(* (log (fma (expm1 z) y 1.0)) (/ 1 t))
3.3b	(log (fma (expm1 z) y 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`add-exp-log` `associate-r`
11×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1`
5×	`add-log-exp`
4×	`associate-l` `prod-exp`
3×	`expm1-log1p-u` `log-prod` `fma-neg` `prod-diff` `log1p-expm1-u` `unswap-sqr`
2×	`div-exp` `log-pow` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `div-inv`

Counts

3 → 73

Calls

3 calls:

7.0ms	(- x (* (log (fma (expm1 z) y 1.0)) (/ 1 t)))
17.0ms	(* (log (fma (expm1 z) y 1.0)) (/ 1 t))
2.0ms	(log (fma (expm1 z) y 1.0))

series389.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- x (* (log (fma (expm1 z) y 1.0)) (/ 1 t)))
186.0ms	(* (log (fma (expm1 z) y 1.0)) (/ 1 t))
87.0ms	(log (fma (expm1 z) y 1.0))

simplify3.0s

Counts

82 → 82

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	189	1282
1	442	1075
2	1147	955
3	3218	936
done	5000	902

prune446.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- (/ (log (fma (expm1 z) y 1.0)) t)))
0.1b	(/ (log (fma (expm1 z) y 1.0)) t)
3.3b	(log (fma (expm1 z) y 1.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
7×	`add-log-exp`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`associate-/l*`
3×	`expm1-log1p-u` `log-prod` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`sum-log` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `unsub-neg` `neg-log` `clear-num` `flip-+` `div-inv`

Counts

3 → 69

Calls

3 calls:

43.0ms	(+ x (- (/ (log (fma (expm1 z) y 1.0)) t)))
15.0ms	(/ (log (fma (expm1 z) y 1.0)) t)
3.0ms	(log (fma (expm1 z) y 1.0))

series349.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ x (- (/ (log (fma (expm1 z) y 1.0)) t)))
174.0ms	(/ (log (fma (expm1 z) y 1.0)) t)
83.0ms	(log (fma (expm1 z) y 1.0))

simplify1.9s

Counts

78 → 78

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	162	1046
1	365	979
2	977	895
3	2662	890
done	5001	885

prune322.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (log (fma (expm1 z) y 1.0)) t))
3.3b	(log (fma (expm1 z) y 1.0))
3.3b	(log (fma (expm1 z) y 1.0))
3.3b	(log (fma (expm1 z) y 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`pow1`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (/ (log (fma (expm1 z) y 1.0)) t))
1.0ms	(log (fma (expm1 z) y 1.0))
1.0ms	(log (fma (expm1 z) y 1.0))
1.0ms	(log (fma (expm1 z) y 1.0))

series781.0ms

Counts

4 → 12

Calls

4 calls:

498.0ms	(cbrt (/ (log (fma (expm1 z) y 1.0)) t))
95.0ms	(log (fma (expm1 z) y 1.0))
101.0ms	(log (fma (expm1 z) y 1.0))
87.0ms	(log (fma (expm1 z) y 1.0))

simplify956.0ms

Counts

81 → 81

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	197	1445
1	458	1353
2	1337	1229
done	5000	1180

prune500.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.4b

Details

sample166.0ms

simplify1.2s

prune13.0ms

localize22.0ms

rewrite57.0ms

series391.0ms

simplify2.0s

prune480.0ms

localize13.0ms

rewrite27.0ms

series389.0ms

simplify3.0s

prune446.0ms

localize33.0ms

rewrite64.0ms

series349.0ms

simplify1.9s

prune322.0ms

localize30.0ms

rewrite9.0ms

series781.0ms

simplify956.0ms

prune500.0ms

regimes3.0ms