Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	91×	body	1024	valid
4.0ms	41×	body	512	valid
3.0ms	98×	body	128	valid
1.0ms	22×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify180.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	166	9
1	166	9

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: 39.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
2.8b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/l*_binary64_1387`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480`
3×	`associate-/r*_binary64_1386` `cancel-sign-sub-inv_binary64_1408`
2×	`associate-/l/_binary64_1389` `flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-sub_binary64_1447` `div-exp_binary64_1493`

Counts

2 → 64

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series67.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms	(-.f64 (exp.f64 x) 1)

simplify106.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4874	1016
1	4874	1016

prune58.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Merged error: 0.0b

Counts

71 → 2

Compiler

Compiled 872 to 474 computations (45.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1464`
6×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
2×	`associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `add-log-exp_binary64_1481` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
1×	`distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series102.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

79.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
22.0ms	(*.f64 x 1/6)

simplify85.0ms (3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4794	440
1	4794	440

prune40.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

Compiler

Compiled 635 to 497 computations (21.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.3b	(*.f64 x 1/6)
3.3b	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1464`
8×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
5×	`log-prod_binary64_1528`
4×	`add-log-exp_binary64_1481`
3×	`log-pow_binary64_1531`
2×	`associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491` `exp-sum_binary64_1488` `unswap-sqr_binary64_1410`
1×	`rem-log-exp_binary64_1483` `exp-prod_binary64_1494` `flip3-+_binary64_1445` `flip-+_binary64_1416` `exp-to-pow_binary64_1504`

Counts

3 → 56

Calls

3 calls:

8.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
4.0ms	(*.f64 x 1/6)
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

series281.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

188.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))
72.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
20.0ms	(*.f64 x 1/6)

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5146	683

prune59.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Merged error: 0.0b

Counts

67 → 2

Compiler

Compiled 970 to 777 computations (19.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 (exp.f64 x) 1))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
2.8b	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1442`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`add-sqr-sqrt_binary64_1464`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`pow1_binary64_1503`
4×	`associate-r/_binary64_1384` `associate-r_binary64_1382` `times-frac_binary64_1448` `associate-/l_binary64_1387`
3×	`associate-l_binary64_1383` `flip3-+_binary64_1445` `flip-+_binary64_1416` `difference-of-squares_binary64_1411`
2×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `flip3--_binary64_1446` `distribute-lft-out_binary64_1393` `flip--_binary64_1417` `prod-exp_binary64_1491` `div-exp_binary64_1493`
1×	`associate-/r_binary64_1386` `cancel-sign-sub-inv_binary64_1408` `sum-log_binary64_1533` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `div-sub_binary64_1447` `unswap-sqr_binary64_1410`

Counts

4 → 76

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
8.0ms	(*.f64 x (+.f64 (exp.f64 x) 1))
7.0ms	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))
5.0ms	(+.f64 (exp.f64 x) 1)

series245.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
40.0ms	(*.f64 x (+.f64 (exp.f64 x) 1))
33.0ms	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))
10.0ms	(+.f64 (exp.f64 x) 1)

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5926	1137

prune79.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

Compiler

Compiled 1609 to 929 computations (42.3% saved)

regimes63.0ms (2.2%)

Compiler: Compiled 510 to 376 computations (26.3% saved)

bsearch19.0ms (0.7%)

Steps

Iters	Range		Point
9	-0.0003825938118643574	-2.917898159756652e-09	-0.00015326377826995708

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	48
1	39	48

end0.0ms (0%)

sample1.2s (42%)

Algorithm

1×

intervals

Results

468.0ms	2718×	body	1024	valid
126.0ms	1309×	body	512	valid
83.0ms	3039×	body	128	valid
53.0ms	276×	body	2048	valid
42.0ms	658×	body	256	valid

Compiler

Compiled 308 to 227 computations (26.3% saved)

Details

analyze4.0ms (0.1%)

sample29.0ms (1%)

simplify180.0ms (6.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite18.0ms (0.6%)

series67.0ms (2.3%)

simplify106.0ms (3.7%)

prune58.0ms (2%)

localize7.0ms (0.3%)

rewrite13.0ms (0.4%)

series102.0ms (3.5%)

simplify85.0ms (3%)

prune40.0ms (1.4%)

localize8.0ms (0.3%)

rewrite18.0ms (0.6%)

series281.0ms (9.8%)

simplify69.0ms (2.4%)

prune59.0ms (2.1%)

localize9.0ms (0.3%)

rewrite42.0ms (1.5%)

series245.0ms (8.5%)

simplify58.0ms (2%)

prune79.0ms (2.8%)

regimes63.0ms (2.2%)

bsearch19.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (42%)

Profiling