Details

analyze143.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample34.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	66×	body	1024	valid
4.0ms	129×	body	128	valid
4.0ms	32×	body	512	valid
2.0ms	7×	body	2048	valid
2.0ms	22×	body	256	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
351×	`associate-/l*_binary64`
345×	`exp-prod_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	33	15
4	57	15
5	109	15
6	227	15
7	585	15
8	1455	15
9	2454	15
10	4306	15
11	4537	15
12	4924	15
13	4813	15

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

31.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	31.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite130.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

Rules

27×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1159 to 1054 computations (9.1% saved)

series45.0ms (1%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

14.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
12.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 452 to 394 computations (12.8% saved)

simplify121.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

409×	`cancel-sign-sub-inv_binary64`
362×	`times-frac_binary64`
344×	`sub-neg_binary64`
221×	`*-commutative_binary64`
199×	`unswap-sqr_binary64`

Counts

84 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1565
1	288	1492
2	627	1472
3	1484	1469
4	3254	1469
5	4518	1469
6	4860	1469

prune57.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Error

0.0b

Counts

73 → 2

Alt Table

Status	Error	Program
	31.5b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
▶	29.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

Compiler

Compiled 1009 to 899 computations (10.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
0.3b	(*.f64 17/315 (pow.f64 x 7))
20.3b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

rewrite153.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
19×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`

Counts

4 → 106

Calls

4 calls:

11.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 17/315 (pow.f64 x 7))
5.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 2948 to 2360 computations (19.9% saved)

series53.0ms (1.1%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

14.0ms	(*.f64 17/315 (pow.f64 x 7))
14.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
10.0ms	(*.f64 2/15 (pow.f64 x 5))
9.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 581 to 470 computations (19.1% saved)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

746×	`distribute-rgt-in_binary64`
714×	`distribute-lft-in_binary64`
279×	`cancel-sign-sub-inv_binary64`
189×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
188×	`associate-l_binary64`

Counts

123 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	2341
1	584	2236
2	1934	2181
3	5536	2181

prune52.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

0.0b

Counts

74 → 2

Alt Table

Status	Error	Program
▶	31.5b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
✓	29.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

Compiler

Compiled 1268 to 1007 computations (20.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
4.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite161.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`cbrt-prod_binary64`
20×	`add-cube-cbrt_binary64` `difference-of-squares_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`

Counts

4 → 130

Calls

4 calls:

15.0ms	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3)
13.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 2370 to 2195 computations (7.4% saved)

series78.0ms (1.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

20.0ms	(pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3)
15.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
15.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
11.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 694 to 604 computations (13% saved)

simplify144.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-l_binary64`
525×	`associate-r_binary64`
321×	`distribute-rgt-in_binary64`
301×	`distribute-lft-in_binary64`
286×	`exp-prod_binary64`

Counts

154 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	3850
1	387	3639
2	1029	3596
3	4213	3596
4	5066	3596

prune52.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Error

0.0b

Counts

113 → 3

Alt Table

Status	Error	Program
✓	31.5b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
▶	31.5b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2)))) 1) 2)) (cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
✓	29.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

Compiler

Compiled 1066 to 963 computations (9.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 2))
0.1b	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1))
4.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
4.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite161.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

53×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`times-frac_binary64`
10×	`unpow-prod-down_binary64`

Counts

4 → 85

Calls

4 calls:

12.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1))
12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
12.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 2))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

Compiler

Compiled 2719 to 2515 computations (7.5% saved)

series317.0ms (6.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

209.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
35.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 2))
33.0ms	(cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1))
17.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

Compiler

Compiled 1480 to 1328 computations (10.3% saved)

simplify191.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

513×	`distribute-rgt-in_binary64`
464×	`log-prod_binary64`
397×	`cancel-sign-sub-inv_binary64`
364×	`associate-r_binary64`
355×	`associate-l_binary64`

Counts

109 → 83

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2763
1	337	2697
2	803	2669
3	2592	2638
4	3987	2634
5	4552	2634
6	4984	2634
7	4958	2634

prune63.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Error

0.0b

Counts

86 → 3

Alt Table

Status	Error	Program
	31.5b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1) 3))
	31.5b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 x -2)))) 1) 2)) (cbrt.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
	29.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

Compiler

Compiled 1591 to 1431 computations (10.1% saved)

regimes1.3s (28.5%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 12195 to 11091 computations (9.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64` `+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	105
1	53	105
2	61	105
3	83	105
4	92	105
5	98	105
6	100	105
7	96	105

end2.0ms (0%)

Compiler: Compiled 71 to 62 computations (12.7% saved)

sample1.1s (24.6%)

Algorithm

1×

intervals

Results

402.0ms	2021×	body	1024	valid
147.0ms	4284×	body	128	valid
113.0ms	993×	body	512	valid
52.0ms	207×	body	2048	valid
37.0ms	495×	body	256	valid

Compiler

Compiled 149 to 132 computations (11.4% saved)

Details

analyze143.0ms (3.1%)

sample34.0ms (0.7%)

simplify98.0ms (2.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite130.0ms (2.8%)

series45.0ms (1%)

simplify121.0ms (2.6%)

prune57.0ms (1.2%)

localize12.0ms (0.3%)

rewrite153.0ms (3.3%)

series53.0ms (1.1%)

simplify82.0ms (1.8%)

prune52.0ms (1.1%)

localize9.0ms (0.2%)

rewrite161.0ms (3.5%)

series78.0ms (1.7%)

simplify144.0ms (3.1%)

prune52.0ms (1.1%)

localize12.0ms (0.2%)

rewrite161.0ms (3.5%)

series317.0ms (6.8%)

simplify191.0ms (4.1%)

prune63.0ms (1.3%)

regimes1.3s (28.5%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample1.1s (24.6%)

Profiling