Details

analyze204.0ms (4.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify164.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	198	12
1	198	12

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 x (log.f64 y))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate--l+_binary64_16`
18×	`log-prod_binary64_160`
15×	`add-sqr-sqrt_binary64_98`
13×	`*-un-lft-identity_binary64_77`
11×	`add-cube-cbrt_binary64_109`
10×	`add-log-exp_binary64_113`
9×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
6×	`pow1_binary64_135`
5×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
4×	`diff-log_binary64_166` `associate-r_binary64_19`
3×	`associate-l_binary64_20` `sub-neg_binary64_70`
2×	`flip--_binary64_52` `flip3--_binary64_81`
1×	`associate--l-_binary64_17` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `distribute-lft-out--_binary64_31` `unswap-sqr_binary64_45` `difference-of-squares_binary64_46` `prod-exp_binary64_123` `*-commutative_binary64_10` `log-pow_binary64_163`

Counts

3 → 64

Calls

3 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)

series198.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
58.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
56.0ms	(*.f64 x (log.f64 y))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5102	917

prune62.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

Compiler

Compiled 1037 to 283 computations (72.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 y))
0.0b	(log.f64 (sqrt.f64 y))
0.2b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.2b	(*.f64 x (log.f64 (sqrt.f64 y)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_160`
24×	`add-sqr-sqrt_binary64_98`
20×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
18×	`sqrt-prod_binary64_92`
16×	`pow1_binary64_135`
12×	`distribute-lft-in_binary64_28` `log-pow_binary64_163` `distribute-rgt-in_binary64_29` `associate-r_binary64_19`
10×	`add-exp-log_binary64_112`
8×	`add-cbrt-cube_binary64_110`
6×	`associate-l_binary64_20`
4×	`add-log-exp_binary64_113` `sqrt-pow1_binary64_94` `pow1/2_binary64_154`
2×	`rem-log-exp_binary64_115` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `unswap-sqr_binary64_45` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 100

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
2.0ms	(log.f64 (sqrt.f64 y))
2.0ms	(log.f64 (sqrt.f64 y))

series183.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
62.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
28.0ms	(log.f64 (sqrt.f64 y))
25.0ms	(log.f64 (sqrt.f64 y))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4922	1500
1	4922	1500

prune98.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0b

Counts

117 → 7

Compiler

Compiled 2431 to 691 computations (71.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_160` `cbrt-prod_binary64_105` `associate-+r+_binary64_11`
11×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
6×	`add-log-exp_binary64_113` `distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
3×	`associate-l_binary64_20` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
2×	`pow1/3_binary64_156`
1×	`flip-+_binary64_51` `flip3-+_binary64_80` `+-commutative_binary64_9` `-commutative_binary64_10` `distribute-lft-out_binary64_30` `sum-log_binary64_165` `associate-r*_binary64_19`

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))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series708.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

265.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
165.0ms	(cbrt.f64 y)
153.0ms	(cbrt.f64 y)
125.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4881	752
1	4881	752

prune74.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 0b

Counts

83 → 6

Compiler

Compiled 1497 to 649 computations (56.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.6b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_105`
23×	`add-sqr-sqrt_binary64_98`
20×	`pow1_binary64_135`
17×	`*-un-lft-identity_binary64_77`
15×	`add-cube-cbrt_binary64_109`
9×	`log-pow_binary64_163` `swap-sqr_binary64_44` `pow1/3_binary64_156`
7×	`associate-l_binary64_20` `associate-r_binary64_19`
6×	`add-exp-log_binary64_112`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 81

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
2.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

series1.1s (25.2%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
276.0ms	(cbrt.f64 (log.f64 y))
270.0ms	(cbrt.f64 (log.f64 y))
260.0ms	(cbrt.f64 (log.f64 y))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4901	830
1	4901	830

prune81.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	6	99

Merged error: 0b

Counts

99 → 6

Compiler

Compiled 1820 to 549 computations (69.8% saved)

regimes141.0ms (3.3%)

Compiler: Compiled 1186 to 816 computations (31.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms (0%)

sample871.0ms (20.2%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
2.0ms	38×	body	128	invalid
1.0ms	32×	body	128	nan

Compiler

Compiled 308 to 214 computations (30.5% saved)

Details

analyze204.0ms (4.7%)

sample19.0ms (0.4%)

simplify164.0ms (3.8%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series198.0ms (4.6%)

simplify70.0ms (1.6%)

prune62.0ms (1.4%)

localize10.0ms (0.2%)

rewrite25.0ms (0.6%)

series183.0ms (4.2%)

simplify63.0ms (1.5%)

prune98.0ms (2.3%)

localize12.0ms (0.3%)

rewrite23.0ms (0.5%)

series708.0ms (16.4%)

simplify75.0ms (1.7%)

prune74.0ms (1.7%)

localize11.0ms (0.3%)

rewrite19.0ms (0.4%)

series1.1s (25.2%)

simplify84.0ms (1.9%)

prune81.0ms (1.9%)

regimes141.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample871.0ms (20.2%)

Profiling