Details

analyze363.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample66.0ms (1.3%)

Algorithm

1×

intervals

Results

29.0ms	81×	body	1024	valid
14.0ms	43×	body	2048	valid
8.0ms	37×	body	512	valid
3.0ms	74×	body	128	valid
2.0ms	20×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

prune3.0ms (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

Error

52.2b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.9b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
2.3b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
14.2b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite74.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

51.7b

Rules

9×	`*-un-lft-identity_binary64_6216`
6×	`add-sqr-sqrt_binary64_6238`
5×	`pow1_binary64_6277` `add-log-exp_binary64_6255` `add-cube-cbrt_binary64_6251`
4×	`add-exp-log_binary64_6254` `log-prod_binary64_6302`
3×	`add-cbrt-cube_binary64_6252` `flip3-+_binary64_6219` `flip-+_binary64_6190` `sqrt-prod_binary64_6232`
2×	`sqrt-div_binary64_6233` `log-div_binary64_6303` `distribute-lft-out_binary64_6167`
1×	`pow1/2_binary64_6296` `sqrt-pow1_binary64_6234` `rem-sqrt-square_binary64_6229` `log-pow_binary64_6305` `rem-log-exp_binary64_6257` `sum-log_binary64_6307` `+-commutative_binary64_6146`

Counts

3 → 42

Calls

3 calls:

6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 766 to 464 computations (39.4% saved)

series210.0ms (4%)

Error

0.0b

Counts

3 → 31

Calls

3 calls:

84.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
48.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
41.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 853 to 727 computations (14.8% saved)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4875	1109
1	4875	1109

prune72.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Error

Counts

74 → 4

Compiler

Compiled 1015 to 668 computations (34.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
0.2b	(*.f64 (pow.f64 x 3) 1/6)

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_6238`
12×	`associate-l_binary64_6157`
7×	`add-exp-log_binary64_6254`
6×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unpow-prod-down_binary64_6295` `unswap-sqr_binary64_6184` `cube-prod_binary64_6244`
3×	`prod-exp_binary64_6265` `associate-r_binary64_6156`
2×	`pow1_binary64_6277` `sqr-pow_binary64_6188`
1×	`pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `cbrt-unprod_binary64_6249` `unpow3_binary64_6282` `cube-mult_binary64_6246` `*-commutative_binary64_6147` `diff-log_binary64_6308` `flip3--_binary64_6220` `sub-neg_binary64_6209` `flip--_binary64_6191` `cancel-sign-sub-inv_binary64_6182`

Counts

2 → 43

Calls

2 calls:

6.0ms	(*.f64 (pow.f64 x 3) 1/6)
3.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))

Compiler

Compiled 594 to 447 computations (24.7% saved)

series107.0ms (2%)

Error

Counts

2 → 9

Calls

2 calls:

68.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
35.0ms	(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4926	553
1	4926	553

prune41.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Error

Counts

56 → 4

Compiler

Compiled 626 to 455 computations (27.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
0.6b	(/.f64 1/8 (pow.f64 x 3))
11.7b	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

rewrite192.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`*-un-lft-identity_binary64_6216`
40×	`times-frac_binary64_6222`
29×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
12×	`unpow-prod-down_binary64_6295` `cube-prod_binary64_6244` `associate-/r*_binary64_6160`
9×	`add-exp-log_binary64_6254`
5×	`log-prod_binary64_6302` `add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252`
4×	`pow1_binary64_6277` `distribute-lft-out_binary64_6167` `unpow3_binary64_6282` `cube-mult_binary64_6246` `sqr-pow_binary64_6188`
3×	`log-div_binary64_6303` `div-exp_binary64_6267` `associate-/l*_binary64_6161`
2×	`frac-add_binary64_6224` `flip3-+_binary64_6219` `flip-+_binary64_6190`
1×	`log-pow_binary64_6305` `rem-log-exp_binary64_6257` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `cbrt-undiv_binary64_6250` `frac-2neg_binary64_6227` `clear-num_binary64_6215` `div-inv_binary64_6213` `sum-log_binary64_6307` `+-commutative_binary64_6146`

Counts

3 → 96

Calls

3 calls:

34.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
32.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
6.0ms	(/.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 1792 to 1435 computations (19.9% saved)

series150.0ms (2.8%)

Error

Counts

3 → 13

Calls

3 calls:

71.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
35.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
34.0ms	(/.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 367 to 331 computations (9.8% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5191	1577

prune106.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 1679 to 1295 computations (22.9% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_6216`
10×	`add-log-exp_binary64_6255`
7×	`distribute-lft-out_binary64_6167`
5×	`log-prod_binary64_6302`
4×	`sum-log_binary64_6307` `pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
3×	`add-cbrt-cube_binary64_6252` `flip3-+_binary64_6219` `flip-+_binary64_6190`
2×	`+-commutative_binary64_6146` `log-div_binary64_6303`
1×	`associate-+r+_binary64_6148` `log-pow_binary64_6305` `rem-log-exp_binary64_6257`

Counts

3 → 43

Calls

3 calls:

8.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
8.0ms	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
6.0ms	(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 683 to 458 computations (32.9% saved)

series168.0ms (3.2%)

Error

Counts

3 → 19

Calls

3 calls:

61.0ms	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
55.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
41.0ms	(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 471 to 397 computations (15.7% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4848	790
1	4848	790

prune45.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	62	4	66

Error

Counts

66 → 4

Compiler

Compiled 718 to 445 computations (38% saved)

regimes269.0ms (5.1%)

Accuracy

Total 0.3b remaining (86%)

Threshold costs 0.3b (86%)

Compiler

Compiled 2069 to 1493 computations (27.8% saved)

bsearch38.0ms (0.7%)

Steps

Iters	Range		Point
8	0.4394422907689657	116.36512062923875	0.9535054963945596
9	-61470.43757293931	-8.54282312806627e-05	-1.0727318750535235

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	55
1	109	55

end0.0ms (0%)

sample2.9s (54.9%)

Algorithm

1×

intervals

Results

901.0ms	2479×	body	1024	valid
389.0ms	1239×	body	2048	valid
248.0ms	1200×	body	512	valid
109.0ms	2412×	body	128	valid
74.0ms	628×	body	256	valid
19.0ms	42×	body	4096	valid

Compiler

Compiled 655 to 477 computations (27.2% saved)

Details

analyze363.0ms (6.9%)

sample66.0ms (1.3%)

simplify7.0ms (0.1%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite74.0ms (1.4%)

series210.0ms (4%)

simplify71.0ms (1.3%)

prune72.0ms (1.4%)

localize5.0ms (0.1%)

rewrite50.0ms (1%)

series107.0ms (2%)

simplify104.0ms (2%)

prune41.0ms (0.8%)

localize7.0ms (0.1%)

rewrite192.0ms (3.6%)

series150.0ms (2.8%)

simplify65.0ms (1.2%)

prune106.0ms (2%)

localize5.0ms (0.1%)

rewrite61.0ms (1.2%)

series168.0ms (3.2%)

simplify85.0ms (1.6%)

prune45.0ms (0.9%)

regimes269.0ms (5.1%)

bsearch38.0ms (0.7%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (54.9%)

Profiling