Details

analyze1.1s (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample80.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	52×	body	1024	valid
11.0ms	46×	body	512	valid
10.0ms	129×	body	128	valid
9.0ms	9×	body	2048	valid
3.0ms	62×	body	128	nan
3.0ms	20×	body	256	valid
2.0ms	10×	body	512	nan
2.0ms	27×	body	128	overflowed
1.0ms	2×	body	1024	nan
0.0ms	3×	body	256	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify481.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (315.0ms)

Iter	Nodes	Cost
0	3705	20
1	3705	20

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 22.7b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.5b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_10545`
16×	`*-un-lft-identity_binary64_10524` `add-cube-cbrt_binary64_10556`
12×	`times-frac_binary64_10530`
11×	`pow1_binary64_10582`
9×	`add-log-exp_binary64_10560`
8×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
5×	`log-pow_binary64_10610`
4×	`log-div_binary64_10608` `associate-/l*_binary64_10471`
3×	`associate-l_binary64_10467` `flip3-+_binary64_10527` `log-prod_binary64_10607` `associate-/r_binary64_10470` `flip-+_binary64_10498` `associate-r*_binary64_10466`
2×	`div-sub_binary64_10529` `sum-log_binary64_10612`
1×	`sub-neg_binary64_10517` `pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `+-commutative_binary64_10456` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `frac-2neg_binary64_10535` `associate-+l+_binary64_10459` `div-exp_binary64_10572` `clear-num_binary64_10523` `unswap-sqr_binary64_10492` `rem-log-exp_binary64_10562` `cbrt-undiv_binary64_10555` `div-inv_binary64_10521` `diff-log_binary64_10613` `associate-+l-_binary64_10461`

Counts

4 → 79

Calls

4 calls:

10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
7.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

series620.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
135.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
53.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
38.0ms	(*.f64 y (exp.f64 z))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4941	1971
1	4941	1971

prune114.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 4.3b

Counts

92 → 6

Compiler

Compiled 2047 to 1091 computations (46.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
1.6b	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
3.3b	(-.f64 y (*.f64 y (exp.f64 z)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_10545`
19×	`*-un-lft-identity_binary64_10524`
16×	`add-cube-cbrt_binary64_10556`
12×	`times-frac_binary64_10530`
11×	`pow1_binary64_10582`
8×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
6×	`add-log-exp_binary64_10560` `log-prod_binary64_10607`
5×	`log-pow_binary64_10610`
4×	`log-div_binary64_10608` `associate-/l*_binary64_10471`
3×	`flip--_binary64_10499` `flip3--_binary64_10528` `associate-l_binary64_10467` `associate-/r_binary64_10470` `associate-r*_binary64_10466`
2×	`div-sub_binary64_10529` `difference-of-squares_binary64_10493`
1×	`sub-neg_binary64_10517` `pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `frac-2neg_binary64_10535` `distribute-lft-out--_binary64_10478` `div-exp_binary64_10572` `clear-num_binary64_10523` `unswap-sqr_binary64_10492` `rem-log-exp_binary64_10562` `cbrt-undiv_binary64_10555` `div-inv_binary64_10521` `diff-log_binary64_10613`

Counts

4 → 79

Calls

4 calls:

8.0ms	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
5.0ms	(*.f64 y (exp.f64 z))
5.0ms	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
3.0ms	(-.f64 y (*.f64 y (exp.f64 z)))

series612.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
124.0ms	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
56.0ms	(-.f64 y (*.f64 y (exp.f64 z)))
39.0ms	(*.f64 y (exp.f64 z))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4954	1941
1	4954	1941

prune96.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	91	6	97

Merged error: 4.3b

Counts

97 → 6

Compiler

Compiled 2029 to 987 computations (51.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(.f64 (log.f64 (+.f64 (-.f64 1 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
1.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.5b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_10545`
16×	`-un-lft-identity_binary64_10524` `associate-r*_binary64_10466`
15×	`add-exp-log_binary64_10559` `add-cube-cbrt_binary64_10556`
11×	`add-cbrt-cube_binary64_10557` `times-frac_binary64_10530`
10×	`pow1_binary64_10582`
9×	`add-log-exp_binary64_10560`
7×	`associate-l_binary64_10467`
5×	`prod-exp_binary64_10570`
4×	`unswap-sqr_binary64_10492`
3×	`cbrt-unprod_binary64_10554` `log-prod_binary64_10607`
2×	`pow-prod-down_binary64_10592` `*-commutative_binary64_10457` `log-div_binary64_10608` `div-exp_binary64_10572` `sum-log_binary64_10612` `flip3-+_binary64_10527` `log-pow_binary64_10610` `flip-+_binary64_10498`
1×	`sub-neg_binary64_10517` `+-commutative_binary64_10456` `associate-+l+_binary64_10459` `associate-*r/_binary64_10468` `un-div-inv_binary64_10522` `rem-log-exp_binary64_10562` `cbrt-undiv_binary64_10555` `rec-exp_binary64_10571` `div-inv_binary64_10521` `1-exp_binary64_10565` `diff-log_binary64_10613` `associate-+l-_binary64_10461`

Counts

4 → 83

Calls

4 calls:

9.0ms	(.f64 (log.f64 (+.f64 (-.f64 1 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
7.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

series819.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

591.0ms	(.f64 (log.f64 (+.f64 (-.f64 1 y) (.f64 y (exp.f64 z)))) (/.f64 1 t))
143.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
51.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
34.0ms	(*.f64 y (exp.f64 z))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4933	1840
1	4933	1840

prune105.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 4.3b

Counts

101 → 8

Compiler

Compiled 2167 to 1233 computations (43.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (.f64 1/2 (.f64 z z)))
0.1b	(.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (.f64 z z)))))) (/.f64 1 t))
3.2b	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))
3.4b	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_10545`
16×	`add-exp-log_binary64_10559` `-un-lft-identity_binary64_10524` `associate-r*_binary64_10466`
15×	`add-cube-cbrt_binary64_10556`
11×	`add-cbrt-cube_binary64_10557` `times-frac_binary64_10530`
10×	`pow1_binary64_10582`
7×	`associate-l_binary64_10467`
6×	`add-log-exp_binary64_10560`
5×	`prod-exp_binary64_10570`
4×	`unswap-sqr_binary64_10492`
3×	`cbrt-unprod_binary64_10554` `associate-*r/_binary64_10468` `flip3-+_binary64_10527` `log-prod_binary64_10607` `flip-+_binary64_10498`
2×	`pow-prod-down_binary64_10592` `*-commutative_binary64_10457` `log-div_binary64_10608` `div-exp_binary64_10572` `log-pow_binary64_10610`
1×	`+-commutative_binary64_10456` `un-div-inv_binary64_10522` `sum-log_binary64_10612` `rem-log-exp_binary64_10562` `distribute-lft-in_binary64_10475` `cbrt-undiv_binary64_10555` `rec-exp_binary64_10571` `div-inv_binary64_10521` `distribute-rgt-in_binary64_10476` `1-exp_binary64_10565`

Counts

4 → 84

Calls

4 calls:

9.0ms	(.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (.f64 z z)))))) (/.f64 1 t))
6.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
4.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

series591.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

293.0ms	(.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (.f64 z z)))))) (/.f64 1 t))
121.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))
104.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
72.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5093	2134

prune126.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	93	11	104

Merged error: 4.3b

Counts

104 → 11

Compiler

Compiled 2363 to 1465 computations (38% saved)

regimes662.0ms (7.1%)

Compiler: Compiled 6288 to 4999 computations (20.5% saved)

bsearch122.0ms (1.3%)

Steps

Iters	Range		Point
9	-8.055976461753815e-277	-7.223559131986847e-283	-1.566036451166551e-278
6	-9.620843699024903e-26	-9.464740721828996e-27	-4.583227701693125e-26

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	560	90
1	560	90

end0.0ms (0%)

sample3.3s (34.9%)

Algorithm

1×

intervals

Results

845.0ms	1815×	body	1024	valid
344.0ms	1339×	body	512	valid
312.0ms	317×	body	2048	valid
300.0ms	3716×	body	128	valid
125.0ms	813×	body	256	valid
80.0ms	1537×	body	128	nan
62.0ms	217×	body	1024	nan
55.0ms	279×	body	512	nan
51.0ms	892×	body	128	overflowed
19.0ms	162×	body	256	nan
1.0ms	15×	body	128	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 771 to 599 computations (22.3% saved)

Details

analyze1.1s (12.2%)

sample80.0ms (0.9%)

simplify481.0ms (5.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite36.0ms (0.4%)

series620.0ms (6.7%)

simplify73.0ms (0.8%)

prune114.0ms (1.2%)

localize10.0ms (0.1%)

rewrite29.0ms (0.3%)

series612.0ms (6.6%)

simplify75.0ms (0.8%)

prune96.0ms (1%)

localize16.0ms (0.2%)

rewrite37.0ms (0.4%)

series819.0ms (8.8%)

simplify78.0ms (0.8%)

prune105.0ms (1.1%)

localize16.0ms (0.2%)

rewrite30.0ms (0.3%)

series591.0ms (6.4%)

simplify66.0ms (0.7%)

prune126.0ms (1.4%)

regimes662.0ms (7.1%)

bsearch122.0ms (1.3%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample3.3s (34.9%)

Profiling