Details

analyze265.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Symmetry

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	239×	body	128	valid
2.0ms	9×	body	512	valid
2.0ms	4×	body	1024	valid
0.0ms	4×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify129.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`*-un-lft-identity_binary64_3488`
4×	`log-prod_binary64_3574` `add-log-exp_binary64_3527`
3×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526`
2×	`flip3-+_binary64_3491` `log-div_binary64_3575` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `add-cbrt-cube_binary64_3524`
1×	`log-pow_binary64_3577` `rem-log-exp_binary64_3529` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

2 → 27

Calls

2 calls:

7.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 421 to 241 computations (42.8% saved)

series81.0ms (1.7%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

54.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
17.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 312 to 240 computations (23.1% saved)

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4963	433
1	4963	433

prune35.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Error

0.2b

Counts

40 → 3

Compiler

Compiled 530 to 311 computations (41.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
0.5b	(log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3)))

rewrite135.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

28×	`cbrt-prod_binary64_3519` `*-un-lft-identity_binary64_3488`
17×	`log-prod_binary64_3574`
14×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
12×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
7×	`distribute-lft-out_binary64_3439`
6×	`pow1_binary64_3549` `cube-div_binary64_3517` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
5×	`add-cbrt-cube_binary64_3524`
4×	`flip3-+_binary64_3491` `cbrt-div_binary64_3520` `flip-+_binary64_3462`
3×	`unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460` `pow-unpow_binary64_3565`
2×	`pow1/3_binary64_3570` `log-pow_binary64_3577` `log-div_binary64_3575`
1×	`rem-log-exp_binary64_3529` `pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `rem-cube-cbrt_binary64_3511` `sum-log_binary64_3579` `+-commutative_binary64_3418` `rem-cbrt-cube_binary64_3512`

Counts

4 → 93

Calls

4 calls:

7.0ms	(log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
6.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
5.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1889 to 1253 computations (33.7% saved)

series148.0ms (3.1%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

57.0ms	(log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3)))
40.0ms	(pow.f64 (+.f64 (exp.f64 x) 1) 3)
18.0ms	(+.f64 (exp.f64 x) 1)
15.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 692 to 544 computations (21.4% saved)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5041	1437

prune98.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

0.2b

Counts

120 → 3

Compiler

Compiled 1773 to 1090 computations (38.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

5×	`add-log-exp_binary64_3527`
2×	`diff-log_binary64_3580`
1×	`sum-log_binary64_3579` `pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3--_binary64_3492` `*-un-lft-identity_binary64_3488` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454` `associate--l+_binary64_3425`

Counts

1 → 14

Calls

1 calls:

6.0ms

(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))

Compiler

Compiled 275 to 181 computations (34.2% saved)

series182.0ms (3.9%)

Error

0.2b

Counts

1 → 12

Calls

1 calls:

171.0ms

(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))

Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4882	360
1	4882	360

prune26.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	4	29

Error

0.2b

Counts

29 → 4

Compiler

Compiled 317 to 231 computations (27.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
1.1b	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
1.1b	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
1.1b	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))

rewrite333.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

60×	`cbrt-div_binary64_3520`
30×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
28×	`frac-times_binary64_3498`
23×	`pow1_binary64_3549`
14×	`associate-*l/_binary64_3431`
13×	`cbrt-prod_binary64_3519`
12×	`pow1/3_binary64_3570`
11×	`add-sqr-sqrt_binary64_3510`
9×	`add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow-prod-up_binary64_3558`
8×	`associate-*r/_binary64_3430`
6×	`pow-plus_binary64_3551` `associate-r_binary64_3428`
5×	`add-cbrt-cube_binary64_3524` `pow-prod-down_binary64_3559`
4×	`add-log-exp_binary64_3527`
3×	`pow-sqr_binary64_3461` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
2×	`pow2_binary64_3569` `unswap-sqr_binary64_3456`
1×	`pow3_binary64_3571` `rem-3cbrt-lft_binary64_3513` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
3.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
3.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
3.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 4890 to 3932 computations (19.6% saved)

series983.0ms (20.9%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

249.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
239.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
233.0ms	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
181.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))

Compiler

Compiled 5199 to 4297 computations (17.3% saved)

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5399	5051

prune348.0ms (7.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	149	4	153

Error

0.2b

Counts

153 → 4

Compiler

Compiled 5440 to 4300 computations (21% saved)

regimes166.0ms (3.5%)

Accuracy

Total 0.3b remaining (64.7%)

Threshold costs 0.3b (64.7%)

Compiler

Compiled 1578 to 1369 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

Removed

()

end0.0ms (0%)

sample1.4s (29.1%)

Algorithm

1×

intervals

Results

355.0ms	7363×	body	128	valid
84.0ms	220×	body	1024	valid
54.0ms	247×	body	512	valid
21.0ms	168×	body	256	valid
3.0ms	53×	body	128	invalid
2.0ms	2×	body	2048	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 557 to 481 computations (13.6% saved)

Details

analyze265.0ms (5.6%)

sample25.0ms (0.5%)

simplify129.0ms (2.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite37.0ms (0.8%)

series81.0ms (1.7%)

simplify49.0ms (1%)

prune35.0ms (0.8%)

localize10.0ms (0.2%)

rewrite135.0ms (2.9%)

series148.0ms (3.1%)

simplify55.0ms (1.2%)

prune98.0ms (2.1%)

localize8.0ms (0.2%)

rewrite21.0ms (0.4%)

series182.0ms (3.9%)

simplify98.0ms (2.1%)

prune26.0ms (0.5%)

localize10.0ms (0.2%)

rewrite333.0ms (7.1%)

series983.0ms (20.9%)

simplify87.0ms (1.8%)

prune348.0ms (7.4%)

regimes166.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (29.1%)

Profiling