Details

analyze304.0ms (6.5%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	187×	body	128	valid
8.0ms	16×	body	1024	valid
7.0ms	28×	body	512	valid
4.0ms	24×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	7×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify196.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	625	20
1	625	20

prune2.0ms (0.1%)

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: 10.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
7.9b	(log.f64 (-.f64 1 y))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_10765`
24×	`log-prod_binary64_10829`
21×	`*-un-lft-identity_binary64_10743`
12×	`add-cube-cbrt_binary64_10778`
10×	`pow1_binary64_10804`
9×	`distribute-rgt-in_binary64_10693` `distribute-lft-in_binary64_10692`
8×	`associate-r_binary64_10683` `add-exp-log_binary64_10781`
7×	`add-cbrt-cube_binary64_10779`
6×	`associate-l_binary64_10684` `difference-of-squares_binary64_10712`
3×	`add-log-exp_binary64_10782` `log-pow_binary64_10832` `distribute-lft-out--_binary64_10695`
2×	`unswap-sqr_binary64_10711` `cbrt-unprod_binary64_10776` `*-commutative_binary64_10674` `prod-exp_binary64_10792` `log-div_binary64_10830` `pow-prod-down_binary64_10814`
1×	`flip--_binary64_10718` `flip3--_binary64_10747` `rem-log-exp_binary64_10784`

Counts

3 → 73

Calls

3 calls:

8.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
6.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series150.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
55.0ms	(*.f64 x (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4944	1036
1	4944	1036

prune221.0ms (4.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

Compiler

Compiled 3758 to 2596 computations (30.9% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
0.0b	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
0.3b	(*.f64 y 1/3)
0.3b	(*.f64 x (log.f64 y))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_10765`
14×	`add-cube-cbrt_binary64_10778` `*-un-lft-identity_binary64_10743`
13×	`associate-r_binary64_10683` `pow1_binary64_10804`
12×	`associate-l_binary64_10684` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
6×	`distribute-rgt-in_binary64_10693` `log-prod_binary64_10829` `distribute-lft-in_binary64_10692`
4×	`associate-r/_binary64_10685` `unswap-sqr_binary64_10711` `cbrt-unprod_binary64_10776` `-commutative_binary64_10674` `prod-exp_binary64_10792` `add-log-exp_binary64_10782` `pow-prod-down_binary64_10814`
2×	`sub-neg_binary64_10736` `cancel-sign-sub-inv_binary64_10709`
1×	`flip-+_binary64_10717` `flip--_binary64_10718` `flip3-+_binary64_10746` `flip3--_binary64_10747` `log-pow_binary64_10832`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
7.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series182.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
53.0ms	(*.f64 x (log.f64 y))
32.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
21.0ms	(*.f64 y 1/3)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4907	1206
1	4907	1206

prune150.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

Compiler

Compiled 3245 to 2030 computations (37.4% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_10765`
12×	`add-cube-cbrt_binary64_10778` `associate-+r+_binary64_10675` `cbrt-prod_binary64_10774` `log-prod_binary64_10829` `*-un-lft-identity_binary64_10743`
6×	`distribute-rgt-in_binary64_10693` `add-log-exp_binary64_10782` `distribute-lft-in_binary64_10692` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781` `pow1_binary64_10804`
3×	`associate-r_binary64_10683` `associate-l_binary64_10684`
2×	`pow1/3_binary64_10825`
1×	`unswap-sqr_binary64_10711` `flip-+_binary64_10717` `cbrt-unprod_binary64_10776` `distribute-lft-out_binary64_10694` `*-commutative_binary64_10674` `prod-exp_binary64_10792` `+-commutative_binary64_10673` `flip3-+_binary64_10746` `sum-log_binary64_10834` `pow-prod-down_binary64_10814`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series477.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt.f64 y)
158.0ms	(cbrt.f64 y)
138.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
21.0ms	(*.f64 y 1/3)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5007	655

prune165.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

Compiler

Compiled 3451 to 2133 computations (38.2% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_10765`
14×	`associate-+r+_binary64_10675` `log-prod_binary64_10829`
13×	`add-cube-cbrt_binary64_10778` `*-un-lft-identity_binary64_10743`
9×	`unpow-prod-down_binary64_10822`
7×	`distribute-rgt-in_binary64_10693` `distribute-lft-in_binary64_10692` `add-exp-log_binary64_10781` `pow1_binary64_10804`
6×	`add-log-exp_binary64_10782` `add-cbrt-cube_binary64_10779`
3×	`pow-unpow_binary64_10820` `associate-r_binary64_10683` `cbrt-prod_binary64_10774` `sqr-pow_binary64_10715` `associate-l_binary64_10684`
1×	`pow-to-exp_binary64_10812` `pow1/3_binary64_10825` `unswap-sqr_binary64_10711` `flip-+_binary64_10717` `cbrt-unprod_binary64_10776` `pow-pow_binary64_10815` `pow-exp_binary64_10811` `distribute-lft-out_binary64_10694` `*-commutative_binary64_10674` `unpow1/3_binary64_10810` `prod-exp_binary64_10792` `+-commutative_binary64_10673` `flip3-+_binary64_10746` `sum-log_binary64_10834` `pow-prod-down_binary64_10814`

Counts

4 → 73

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
4.0ms	(*.f64 y 1/3)
3.0ms	(pow.f64 y 1/3)
2.0ms	(cbrt.f64 y)

series512.0ms (11%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
166.0ms	(cbrt.f64 y)
137.0ms	(pow.f64 y 1/3)
22.0ms	(*.f64 y 1/3)

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4980	632
1	4980	632

prune144.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 3127 to 2021 computations (35.4% saved)

regimes85.0ms (1.8%)

Compiler: Compiled 816 to 656 computations (19.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46

end0.0ms (0%)

sample1.6s (34.2%)

Algorithm

1×

intervals

Results

403.0ms	5767×	body	128	valid
317.0ms	639×	body	1024	valid
230.0ms	907×	body	512	valid
99.0ms	664×	body	256	valid
19.0ms	269×	body	128	nan
16.0ms	23×	body	2048	valid
2.0ms	29×	body	128	invalid

Compiler

Compiled 277 to 222 computations (19.9% saved)

Details

analyze304.0ms (6.5%)

sample43.0ms (0.9%)

simplify196.0ms (4.2%)

prune2.0ms (0.1%)

localize11.0ms (0.2%)

rewrite25.0ms (0.5%)

series150.0ms (3.2%)

simplify61.0ms (1.3%)

prune221.0ms (4.7%)

localize17.0ms (0.4%)

rewrite32.0ms (0.7%)

series182.0ms (3.9%)

simplify68.0ms (1.5%)

prune150.0ms (3.2%)

localize20.0ms (0.4%)

rewrite22.0ms (0.5%)

series477.0ms (10.2%)

simplify75.0ms (1.6%)

prune165.0ms (3.5%)

localize27.0ms (0.6%)

rewrite27.0ms (0.6%)

series512.0ms (11%)

simplify51.0ms (1.1%)

prune144.0ms (3.1%)

regimes85.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (34.2%)

Profiling