Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample79.0ms (1.7%)

Algorithm

1×

intervals

Results

46.0ms	129×	body	1024	valid
14.0ms	76×	body	512	valid
7.0ms	26×	body	256	valid
5.0ms	9×	body	2048	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify214.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (207.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	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: 58.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series81.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
25.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5395	1892

prune201.0ms (4.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

Compiler

Compiled 3065 to 2466 computations (19.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 eps 3) -2/3)
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series111.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(*.f64 2/5 (pow.f64 eps 5))
50.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5190	594

prune67.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0.0b

Counts

65 → 3

Compiler

Compiled 1236 to 857 computations (30.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))
5.6b	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
5.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))

rewrite71.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

125×	`*-un-lft-identity_binary64`
79×	`add-sqr-sqrt_binary64`
72×	`times-frac_binary64`
68×	`log-prod_binary64`
40×	`add-cube-cbrt_binary64`
30×	`associate-+l+_binary64`
26×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
13×	`distribute-lft-out--_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`flip3-+_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `log-div_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-+r+_binary64`
3×	`rem-log-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `associate-+r-_binary64` `div-exp_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `associate-+l-_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 159

Calls

4 calls:

22.0ms	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
12.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))
11.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))

series233.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
47.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))
40.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))
33.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5188	4391

prune285.0ms (6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	4	174

Merged error: 0.0b

Counts

174 → 4

Compiler

Compiled 5168 to 3565 computations (31% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3)
0.0b	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3))
5.6b	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
5.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64`
34×	`log-prod_binary64` `add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
23×	`pow1_binary64` `distribute-lft-out_binary64`
22×	`add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`log-pow_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-exp-log_binary64`
8×	`difference-of-squares_binary64`
5×	`add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `cube-div_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `rem-log-exp_binary64` `log-div_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 120

Calls

4 calls:

11.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3))
6.0ms	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3)

series310.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3)
109.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) 3))
47.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))
28.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))

simplify96.0ms (2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4975	4294
1	4975	4294

prune220.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

Compiler

Compiled 4173 to 2923 computations (30% saved)

regimes26.0ms (0.5%)

Compiler: Compiled 216 to 178 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	22
1	66	22

end0.0ms (0%)

sample2.4s (50.7%)

Algorithm

1×

intervals

Results

1.4s	4025×	body	1024	valid
381.0ms	2002×	body	512	valid
205.0ms	390×	body	2048	valid
108.0ms	983×	body	256	valid
30.0ms	600×	body	128	valid

Compiler

Compiled 139 to 116 computations (16.5% saved)

Details

analyze4.0ms (0.1%)

sample79.0ms (1.7%)

simplify214.0ms (4.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite28.0ms (0.6%)

series81.0ms (1.7%)

simplify70.0ms (1.5%)

prune201.0ms (4.2%)

localize11.0ms (0.2%)

rewrite17.0ms (0.4%)

series111.0ms (2.3%)

simplify55.0ms (1.2%)

prune67.0ms (1.4%)

localize14.0ms (0.3%)

rewrite71.0ms (1.5%)

series233.0ms (4.9%)

simplify85.0ms (1.8%)

prune285.0ms (6%)

localize14.0ms (0.3%)

rewrite45.0ms (0.9%)

series310.0ms (6.5%)

simplify96.0ms (2%)

prune220.0ms (4.6%)

regimes26.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (50.7%)

Profiling