Details

analyze160.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9
0	1	1
1	1	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)

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	94×	body	1024	valid
4.0ms	43×	body	512	valid
2.0ms	98×	body	128	valid
1.0ms	16×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

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

Error

40.0b

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)
2.3b	(-.f64 (exp.f64 x) 1)

rewrite115.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

39.7b

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-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`cancel-sign-sub-inv_binary64_1408` `associate-/r*_binary64_1386`
2×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l/_binary64_1389`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 754 to 428 computations (43.2% saved)

series94.0ms (2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

52.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
24.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune58.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 660 to 384 computations (41.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite152.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481`
4×	`associate-*r/_binary64_1384`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1414 to 1092 computations (22.8% saved)

series209.0ms (4.4%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

68.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
53.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
47.0ms	(+.f64 1/6 (*.f64 x 1/24))
23.0ms	(*.f64 x 1/24)

Compiler

Compiled 519 to 444 computations (14.5% saved)

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune129.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 1313 to 1021 computations (22.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 1/24 x) 1/6)
0.2b	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
0.3b	(*.f64 1/24 x)
2.3b	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))

rewrite343.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480`
8×	`log-prod_binary64_1528` `pow1_binary64_1503` `add-cbrt-cube_binary64_1478`
6×	`add-log-exp_binary64_1481` `associate-l_binary64_1383` `associate-r_binary64_1382`
3×	`unpow-prod-down_binary64_1521` `rem-log-exp_binary64_1483`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `-commutative_binary64_1373` `flip3-+_binary64_1445` `associate-r/_binary64_1384` `flip-+_binary64_1416`
1×	`log-pow_binary64_1531` `unpow-prod-up_binary64_1520` `sqr-pow_binary64_1414` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 70

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
4.0ms	(+.f64 (*.f64 1/24 x) 1/6)
4.0ms	(*.f64 1/24 x)
3.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))

Compiler

Compiled 1511 to 1130 computations (25.2% saved)

series525.0ms (11.1%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

358.0ms	(log.f64 (pow.f64 (exp.f64 x) (+.f64 (.f64 x (+.f64 (.f64 1/24 x) 1/6)) 1/2)))
75.0ms	(.f64 x (+.f64 (.f64 1/24 x) 1/6))
46.0ms	(+.f64 (*.f64 1/24 x) 1/6)
28.0ms	(*.f64 1/24 x)

Compiler

Compiled 604 to 518 computations (14.2% saved)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4761	1085
1	4761	1085

prune120.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

0.0b

Counts

93 → 3

Compiler

Compiled 1297 to 977 computations (24.7% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
2.3b	(-.f64 (exp.f64 x) 1)

rewrite260.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

186×	`times-frac_binary64_1448`
156×	`add-sqr-sqrt_binary64_1464`
139×	`*-un-lft-identity_binary64_1442`
88×	`add-cube-cbrt_binary64_1477`
34×	`difference-of-squares_binary64_1411` `associate-/r*_binary64_1386`
17×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
16×	`add-exp-log_binary64_1480`
11×	`associate-/r/_binary64_1388`
10×	`add-cbrt-cube_binary64_1478`
8×	`div-exp_binary64_1493`
6×	`flip3--_binary64_1446` `flip--_binary64_1417` `div-inv_binary64_1439` `associate-/l*_binary64_1387`
5×	`add-log-exp_binary64_1481`
4×	`pow1_binary64_1503` `cbrt-undiv_binary64_1476`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `inv-pow_binary64_1527` `pow-flip_binary64_1516`

Counts

3 → 195

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
6.0ms	(/.f64 x (-.f64 (exp.f64 x) 1))
6.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 3051 to 1947 computations (36.2% saved)

series175.0ms (3.7%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

78.0ms	(/.f64 x (-.f64 (exp.f64 x) 1))
52.0ms	(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
25.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 378 to 319 computations (15.6% saved)

simplify115.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4926	4012
1	4926	4012

prune148.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	212	4	216

Error

Counts

216 → 4

Compiler

Compiled 1930 to 1187 computations (38.5% saved)

regimes687.0ms (14.6%)

Accuracy

Total 0.3b remaining (98%)

Threshold costs 0.3b (98%)

Compiler

Compiled 5162 to 4098 computations (20.6% saved)

bsearch29.0ms (0.6%)

Steps

Iters	Range		Point
9	-0.029289827678329543	-8.860430055495895e-08	-0.01890841024590273

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	46
1	80	46

end2.0ms (0%)

Compiler: Compiled 31 to 26 computations (16.1% saved)

sample1.1s (23.1%)

Algorithm

1×

intervals

Results

432.0ms	2709×	body	1024	valid
113.0ms	1329×	body	512	valid
77.0ms	3066×	body	128	valid
49.0ms	285×	body	2048	valid
33.0ms	611×	body	256	valid

Compiler

Compiled 126 to 105 computations (16.7% saved)

Details

analyze160.0ms (3.4%)

sample32.0ms (0.7%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite115.0ms (2.4%)

series94.0ms (2%)

simplify61.0ms (1.3%)

prune58.0ms (1.2%)

localize9.0ms (0.2%)

rewrite152.0ms (3.2%)

series209.0ms (4.4%)

simplify84.0ms (1.8%)

prune129.0ms (2.7%)

localize12.0ms (0.2%)

rewrite343.0ms (7.3%)

series525.0ms (11.1%)

simplify76.0ms (1.6%)

prune120.0ms (2.6%)

localize5.0ms (0.1%)

rewrite260.0ms (5.5%)

series175.0ms (3.7%)

simplify115.0ms (2.4%)

prune148.0ms (3.1%)

regimes687.0ms (14.6%)

bsearch29.0ms (0.6%)

simplify3.0ms (0.1%)

end2.0ms (0%)

sample1.1s (23.1%)

Profiling