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)

sample76.0ms (1.9%)

Algorithm

1×

intervals

Results

42.0ms	122×	body	1024	valid
13.0ms	65×	body	512	valid
9.0ms	17×	body	2048	valid
4.0ms	37×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify361.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	12

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: 59.1b

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)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_751`
52×	`add-sqr-sqrt_binary64_772`
48×	`times-frac_binary64_757`
30×	`log-prod_binary64_834`
25×	`add-cube-cbrt_binary64_783`
18×	`difference-of-squares_binary64_720`
13×	`distribute-lft-out_binary64_704`
9×	`distribute-lft-out--_binary64_705`
7×	`add-exp-log_binary64_786`
6×	`associate-/l*_binary64_698`
4×	`associate-/r*_binary64_697` `add-cbrt-cube_binary64_784` `associate-/r/_binary64_699`
3×	`pow1_binary64_809`
2×	`rem-log-exp_binary64_789` `flip3-+_binary64_754` `associate-/l/_binary64_700` `add-log-exp_binary64_787` `div-inv_binary64_748` `flip-+_binary64_725` `div-exp_binary64_799`
1×	`log-div_binary64_835` `div-sub_binary64_756` `flip--_binary64_726` `log-pow_binary64_837` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip3--_binary64_755`

Counts

2 → 92

Calls

2 calls:

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

series79.0ms (2%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
24.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5224	1892

prune106.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0b

Counts

99 → 2

Compiler

Compiled 1527 to 1175 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_772`
19×	`associate-l_binary64_694`
13×	`add-exp-log_binary64_786`
10×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
8×	`unpow-prod-down_binary64_827`
7×	`unswap-sqr_binary64_719` `add-cbrt-cube_binary64_784`
6×	`prod-exp_binary64_797` `associate-r_binary64_693`
5×	`add-log-exp_binary64_787`
4×	`sqr-pow_binary64_723` `cube-prod_binary64_776`
3×	`pow1_binary64_809`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`
1×	`cube-mult_binary64_778` `+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `unpow3_binary64_814` `flip-+_binary64_725`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 eps 3) -2/3)
5.0ms	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)

series301.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

183.0ms	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
67.0ms	(*.f64 (pow.f64 eps 5) -2/5)
50.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	890
1	4941	890

prune86.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 1511 to 1207 computations (20.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_751`
20×	`log-prod_binary64_834`
15×	`add-sqr-sqrt_binary64_772`
9×	`pow1_binary64_809`
8×	`log-div_binary64_835`
7×	`add-cube-cbrt_binary64_783`
6×	`distribute-lft-out--_binary64_705` `associate--l+_binary64_690` `log-pow_binary64_837`
5×	`add-exp-log_binary64_786` `difference-of-squares_binary64_720`
4×	`associate--r+_binary64_689`
3×	`add-log-exp_binary64_787` `flip--_binary64_726` `add-cbrt-cube_binary64_784` `flip3--_binary64_755`
2×	`distribute-lft-out_binary64_704` `rem-log-exp_binary64_789` `flip3-+_binary64_754` `associate--l-_binary64_691` `associate--r-_binary64_692` `flip-+_binary64_725`
1×	`diff-log_binary64_840` `sub-neg_binary64_744`

Counts

3 → 62

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
4.0ms	(log.f64 (-.f64 1 eps))
3.0ms	(log.f64 (+.f64 1 eps))

series131.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
24.0ms	(log.f64 (-.f64 1 eps))
23.0ms	(log.f64 (+.f64 1 eps))

simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4863	1067
1	4863	1067

prune62.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

Compiler

Compiled 1075 to 840 computations (21.9% saved)

regimes8.0ms (0.2%)

Compiler: Compiled 26 to 23 computations (11.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample2.4s (60.8%)

Algorithm

1×

intervals

Results

1.4s	3989×	body	1024	valid
398.0ms	2060×	body	512	valid
208.0ms	393×	body	2048	valid
108.0ms	983×	body	256	valid
29.0ms	575×	body	128	valid

Compiler

Compiled 63 to 56 computations (11.1% saved)

Details

analyze4.0ms (0.1%)

sample76.0ms (1.9%)

simplify361.0ms (9.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite26.0ms (0.7%)

series79.0ms (2%)

simplify72.0ms (1.8%)

prune106.0ms (2.7%)

localize9.0ms (0.2%)

rewrite23.0ms (0.6%)

series301.0ms (7.6%)

simplify70.0ms (1.8%)

prune86.0ms (2.2%)

localize7.0ms (0.2%)

rewrite23.0ms (0.6%)

series131.0ms (3.3%)

simplify98.0ms (2.5%)

prune62.0ms (1.6%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (60.8%)

Profiling