Details

analyze502.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	275
1	4923	275
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample49.0ms (0.8%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
12.0ms	149×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify153.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5309	25

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

0.2b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_12354`
19×	`log-prod_binary64_12440`
16×	`add-sqr-sqrt_binary64_12376`
12×	`add-cube-cbrt_binary64_12389`
10×	`add-log-exp_binary64_12393` `pow1_binary64_12415`
9×	`associate-+r+_binary64_12286` `associate-+l+_binary64_12287`
6×	`associate-*l/_binary64_12297` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
5×	`flip--_binary64_12329` `distribute-lft-out_binary64_12305` `log-pow_binary64_12443` `associate-l_binary64_12295` `sum-log_binary64_12445` `flip3--_binary64_12358` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
4×	`associate-r_binary64_12294` `frac-add_binary64_12362`
3×	`cancel-sign-sub-inv_binary64_12320` `associate-+l-_binary64_12289` `flip-+_binary64_12328` `flip3-+_binary64_12357`
2×	`diff-log_binary64_12446` `log-div_binary64_12441` `+-commutative_binary64_12284`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347` `*-commutative_binary64_12285` `associate--l+_binary64_12291`

Counts

3 → 82

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series291.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

193.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
55.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
43.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5447	1999

prune329.0ms (5.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

0.0b

Counts

92 → 10

Compiler

Compiled 2431 to 1021 computations (58% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_12354`
25×	`log-prod_binary64_12440`
20×	`add-sqr-sqrt_binary64_12376`
16×	`add-cube-cbrt_binary64_12389`
13×	`distribute-lft-out_binary64_12305` `add-log-exp_binary64_12393` `pow1_binary64_12415`
12×	`associate--l+_binary64_12291`
11×	`associate-+r+_binary64_12286`
9×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
7×	`log-pow_binary64_12443` `associate-+l+_binary64_12287` `sum-log_binary64_12445`
6×	`cancel-sign-sub-inv_binary64_12320` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
5×	`associate-l_binary64_12295`
4×	`associate-r_binary64_12294`
3×	`diff-log_binary64_12446` `flip-+_binary64_12328` `associate-+r-_binary64_12288` `flip3-+_binary64_12357`
2×	`flip--_binary64_12329` `log-div_binary64_12441` `associate-*l/_binary64_12297` `associate-+l-_binary64_12289` `flip3--_binary64_12358` `sub-neg_binary64_12347` `+-commutative_binary64_12284`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`

Counts

4 → 104

Calls

4 calls:

15.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
10.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
8.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)

series327.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
75.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
36.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
33.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5168	2313

prune127.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	117	9	126

Error

0.0b

Counts

126 → 9

Compiler

Compiled 2815 to 1369 computations (51.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.4b	(+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y)))))
0.4b	(+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))

rewrite65.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64_12354`
29×	`log-prod_binary64_12440`
24×	`distribute-lft-out_binary64_12305` `pow1_binary64_12415`
20×	`add-sqr-sqrt_binary64_12376`
18×	`log-pow_binary64_12443`
16×	`add-cube-cbrt_binary64_12389`
15×	`add-log-exp_binary64_12393` `associate-+l+_binary64_12287`
14×	`associate-+r+_binary64_12286`
11×	`sum-log_binary64_12445`
8×	`sqrt-prod_binary64_12370`
6×	`sqrt-div_binary64_12371` `log-div_binary64_12441` `associate-*l/_binary64_12297` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `flip-+_binary64_12328` `associate-+r-_binary64_12288` `add-cbrt-cube_binary64_12390` `flip3-+_binary64_12357` `add-exp-log_binary64_12392`
5×	`flip--_binary64_12329` `associate-l_binary64_12295` `flip3--_binary64_12358`
4×	`associate-r_binary64_12294` `frac-add_binary64_12362`
3×	`diff-log_binary64_12446` `cancel-sign-sub-inv_binary64_12320` `associate-+l-_binary64_12289` `+-commutative_binary64_12284`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347` `*-commutative_binary64_12285` `associate--l+_binary64_12291`

Counts

4 → 120

Calls

4 calls:

22.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
14.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y)))))
9.0ms	(+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series440.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
93.0ms	(+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y))))
76.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 x y))) (+.f64 (log.f64 z) (log.f64 (sqrt.f64 (+.f64 x y)))))
36.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4966	3196
1	4966	3196

prune156.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	132	9	141

Error

0.0b

Counts

141 → 9

Compiler

Compiled 4106 to 1601 computations (61% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`log-prod_binary64_12440`
30×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
28×	`associate-+l+_binary64_12287`
26×	`*-un-lft-identity_binary64_12354`
24×	`cbrt-prod_binary64_12385`
20×	`add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
15×	`associate-+r+_binary64_12286`
8×	`associate-*l/_binary64_12297` `pow1_binary64_12415`
6×	`distribute-lft-out_binary64_12305` `add-log-exp_binary64_12393`
4×	`flip--_binary64_12329` `log-pow_binary64_12443` `flip3--_binary64_12358` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392` `frac-add_binary64_12362`
3×	`flip-+_binary64_12328` `flip3-+_binary64_12357`
2×	`pow1/3_binary64_12436` `log-div_binary64_12441` `sum-log_binary64_12445` `associate-+l-_binary64_12289` `+-commutative_binary64_12284`

Counts

4 → 98

Calls

4 calls:

16.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series347.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
86.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
46.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	6117	1664

prune139.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	110	9	119

Error

Counts

119 → 9

Compiler

Compiled 3427 to 1464 computations (57.3% saved)

regimes813.0ms (12.8%)

Accuracy

Total 0.3b remaining (96.6%)

Threshold costs 0.3b (96.6%)

Compiler

Compiled 9221 to 7630 computations (17.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

Compiler

Compiled 32 to 30 computations (6.3% saved)

end0.0ms (0%)

sample2.2s (34.5%)

Algorithm

1×

intervals

Results

636.0ms	8000×	body	128	valid
295.0ms	4275×	body	128	nan
3.0ms	35×	body	128	invalid

Compiler

Compiled 880 to 731 computations (16.9% saved)

Details

analyze502.0ms (7.9%)

sample49.0ms (0.8%)

simplify153.0ms (2.4%)

prune3.0ms (0.1%)

localize15.0ms (0.2%)

rewrite35.0ms (0.6%)

series291.0ms (4.6%)

simplify49.0ms (0.8%)

prune329.0ms (5.2%)

localize16.0ms (0.3%)

rewrite50.0ms (0.8%)

series327.0ms (5.1%)

simplify51.0ms (0.8%)

prune127.0ms (2%)

localize21.0ms (0.3%)

rewrite65.0ms (1%)

series440.0ms (6.9%)

simplify82.0ms (1.3%)

prune156.0ms (2.4%)

localize20.0ms (0.3%)

rewrite38.0ms (0.6%)

series347.0ms (5.4%)

simplify51.0ms (0.8%)

prune139.0ms (2.2%)

regimes813.0ms (12.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.2s (34.5%)

Profiling