Details

analyze1.5s (19%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample133.0ms (1.7%)

Algorithm

1×

intervals

Results

88.0ms	127×	body	1024	valid
17.0ms	56×	body	512	valid
7.0ms	8×	body	2048	valid
6.0ms	40×	body	256	valid
5.0ms	256×	pre	128	true
2.0ms	25×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify172.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

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: 59.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.0b	(log.f64 (-.f64 1 x))
7.0b	(log.f64 (+.f64 1 x))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_751`
18×	`add-sqr-sqrt_binary64_772`
16×	`times-frac_binary64_757`
15×	`add-cube-cbrt_binary64_783` `pow1_binary64_809`
12×	`log-pow_binary64_837`
10×	`log-prod_binary64_834`
7×	`add-exp-log_binary64_786`
6×	`log-div_binary64_835`
5×	`add-cbrt-cube_binary64_784`
4×	`associate-/r_binary64_697` `associate-/l_binary64_698`
3×	`add-log-exp_binary64_787`
2×	`rem-log-exp_binary64_789` `div-sub_binary64_756` `flip--_binary64_726` `flip3--_binary64_755` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `div-inv_binary64_748` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip-+_binary64_725` `div-exp_binary64_799`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series180.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
25.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5579	1554

prune99.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

Compiler

Compiled 1407 to 1086 computations (22.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781` `add-sqr-sqrt_binary64_772`
2×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
1×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series36.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

36.0ms

(*.f64 (*.f64 x x) 1/2)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4882	181
1	4882	181

prune19.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

Compiler

Compiled 315 to 220 computations (30.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (log.f64 (+.f64 1 x)) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))
7.0b	(log.f64 (-.f64 1 x))
7.0b	(log.f64 (+.f64 1 x))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_751`
15×	`add-sqr-sqrt_binary64_772`
14×	`cbrt-prod_binary64_779`
12×	`add-cube-cbrt_binary64_783`
11×	`pow1_binary64_809`
10×	`log-prod_binary64_834`
8×	`unpow-prod-down_binary64_827` `cube-prod_binary64_776`
7×	`add-exp-log_binary64_786`
6×	`log-pow_binary64_837`
5×	`add-cbrt-cube_binary64_784`
4×	`log-div_binary64_835` `add-log-exp_binary64_787`
3×	`pow-unpow_binary64_825`
2×	`cube-mult_binary64_778` `rem-log-exp_binary64_789` `sqr-pow_binary64_723` `unpow3_binary64_814` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `rem-cbrt-cube_binary64_774` `pow1/3_binary64_830` `pow-to-exp_binary64_817` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `pow-exp_binary64_816` `flip--_binary64_726` `rem-cube-cbrt_binary64_773` `pow-pow_binary64_820` `flip3--_binary64_755` `flip-+_binary64_725`

Counts

4 → 80

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(pow.f64 (log.f64 (+.f64 1 x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))

series150.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow.f64 (log.f64 (+.f64 1 x)) 3)
24.0ms	(log.f64 (-.f64 1 x))
24.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))
23.0ms	(log.f64 (+.f64 1 x))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5282	1325

prune101.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

Compiler

Compiled 1689 to 1365 computations (19.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) 1)
0.0b	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
3.1b	(log.f64 (-.f64 1 (*.f64 x x)))
7.0b	(log.f64 (+.f64 1 x))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_772`
23×	`*-un-lft-identity_binary64_751`
19×	`times-frac_binary64_757`
16×	`add-cube-cbrt_binary64_783` `pow1_binary64_809`
12×	`log-pow_binary64_837`
9×	`log-prod_binary64_834`
8×	`log-div_binary64_835` `add-exp-log_binary64_786`
6×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `difference-of-squares_binary64_720`
4×	`div-sub_binary64_756` `associate-/r_binary64_697` `flip--_binary64_726` `associate-/l_binary64_698` `flip3--_binary64_755`
2×	`rem-log-exp_binary64_789` `difference-of-sqr-1_binary64_721` `associate--l-_binary64_691`
1×	`distribute-lft-out--_binary64_705` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `div-inv_binary64_748` `diff-log_binary64_840` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `sub-neg_binary64_744` `flip-+_binary64_725` `div-exp_binary64_799`

Counts

4 → 89

Calls

4 calls:

11.0ms	(-.f64 (/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) 1)
6.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series421.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(-.f64 (/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x))) 1)
165.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
62.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
24.0ms	(log.f64 (+.f64 1 x))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4934	2833
1	4934	2833

prune120.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	102	5	107

Merged error: 0b

Counts

107 → 5

Compiler

Compiled 2454 to 1730 computations (29.5% saved)

regimes16.0ms (0.2%)

Compiler: Compiled 74 to 62 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.5s (57.4%)

Algorithm

1×

intervals

Results

2.8s	4047×	body	1024	valid
651.0ms	1982×	body	512	valid
369.0ms	393×	body	2048	valid
163.0ms	994×	body	256	valid
157.0ms	8000×	pre	128	true
42.0ms	584×	body	128	valid

Compiler

Compiled 113 to 94 computations (16.8% saved)

Details

analyze1.5s (19%)

sample133.0ms (1.7%)

simplify172.0ms (2.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite19.0ms (0.2%)

series180.0ms (2.3%)

simplify67.0ms (0.9%)

prune99.0ms (1.3%)

localize5.0ms (0.1%)

rewrite7.0ms (0.1%)

series36.0ms (0.5%)

simplify82.0ms (1%)

prune19.0ms (0.2%)

localize9.0ms (0.1%)

rewrite21.0ms (0.3%)

series150.0ms (1.9%)

simplify68.0ms (0.9%)

prune101.0ms (1.3%)

localize10.0ms (0.1%)

rewrite33.0ms (0.4%)

series421.0ms (5.3%)

simplify83.0ms (1.1%)

prune120.0ms (1.5%)

regimes16.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (57.4%)

Profiling