Details

analyze1.1s (12.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	48
1	235	48
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample87.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	44×	body	1024	valid
21.0ms	173×	body	128	valid
11.0ms	32×	body	512	valid
3.0ms	21×	body	128	invalid
2.0ms	7×	body	256	valid
1.0ms	2×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune4.0ms (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

2.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_12376`
22×	`times-frac_binary64_12360`
21×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
19×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
13×	`associate-r_binary64_12294`
6×	`associate-/r*_binary64_12298` `cbrt-undiv_binary64_12388` `div-exp_binary64_12405`
5×	`pow1_binary64_12415`
4×	`cbrt-unprod_binary64_12387` `associate-/l*_binary64_12299` `prod-exp_binary64_12403`
3×	`div-inv_binary64_12351` `add-log-exp_binary64_12393` `associate-l_binary64_12295`
2×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `associate-*r/_binary64_12296` `unswap-sqr_binary64_12322`
1×	`pow-prod-down_binary64_12425` `associate-/l/_binary64_12301` `*-commutative_binary64_12285`

Counts

3 → 83

Calls

3 calls:

13.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
6.0ms	(/.f64 (sin.f64 y) y)

series551.0ms (6%)

Counts

3 → 27

Calls

3 calls:

324.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
171.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
56.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 428 to 374 computations (12.6% saved)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4949	1443
1	4949	1443

prune165.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	11	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	12	111

Error

0.0b

Counts

111 → 12

Compiler

Compiled 1546 to 465 computations (69.9% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.2b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_12392`
31×	`add-sqr-sqrt_binary64_12376` `add-cbrt-cube_binary64_12390`
28×	`times-frac_binary64_12360`
26×	`associate-r_binary64_12294` `*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
22×	`prod-exp_binary64_12403`
12×	`cbrt-unprod_binary64_12387` `div-exp_binary64_12405`
10×	`pow1_binary64_12415`
7×	`cbrt-undiv_binary64_12388`
4×	`pow-prod-down_binary64_12425` `associate-l_binary64_12295` `associate-*r/_binary64_12296`
3×	`associate-/r_binary64_12298` `associate-/l_binary64_12299` `div-inv_binary64_12351` `rec-exp_binary64_12404` `1-exp_binary64_12398` `add-log-exp_binary64_12393`
2×	`unswap-sqr_binary64_12322` `*-commutative_binary64_12285`
1×	`clear-num_binary64_12353` `frac-times_binary64_12364` `un-div-inv_binary64_12352` `frac-2neg_binary64_12365` `associate-*l/_binary64_12297`

Counts

3 → 105

Calls

3 calls:

21.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
18.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

series624.0ms (6.7%)

Counts

3 → 27

Calls

3 calls:

381.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
185.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
57.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 472 to 418 computations (11.4% saved)

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4971	1757
1	4971	1757

prune174.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	133	11	144

Error

0.0b

Counts

144 → 11

Compiler

Compiled 1949 to 696 computations (64.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
2.0b	(/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))) z)

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_12392`
19×	`add-cbrt-cube_binary64_12390`
10×	`cbrt-undiv_binary64_12388` `div-exp_binary64_12405`
9×	`cbrt-prod_binary64_12385` `*-un-lft-identity_binary64_12354` `add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
5×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403`
4×	`add-log-exp_binary64_12393` `pow1_binary64_12415`
3×	`associate-/r*_binary64_12298` `pow1/3_binary64_12436` `times-frac_binary64_12360`
1×	`clear-num_binary64_12353` `associate-/l_binary64_12299` `div-inv_binary64_12351` `frac-2neg_binary64_12365` `associate-/l/_binary64_12301` `associate-r/_binary64_12296`

Counts

4 → 61

Calls

4 calls:

27.0ms	(/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))) z)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series834.0ms (9%)

Counts

4 → 21

Calls

4 calls:

440.0ms	(/.f64 (.f64 x (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))) z)
147.0ms	(cbrt.f64 y)
128.0ms	(cbrt.f64 y)
118.0ms	(cbrt.f64 y)

Compiler

Compiled 532 to 430 computations (19.2% saved)

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5002	841

prune97.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Error

0.0b

Counts

93 → 11

Compiler

Compiled 1351 to 382 computations (71.7% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
2.0b	(/.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-exp-log_binary64_12392`
23×	`add-cbrt-cube_binary64_12390`
13×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403`
9×	`cbrt-prod_binary64_12385` `cbrt-undiv_binary64_12388` `*-un-lft-identity_binary64_12354` `div-exp_binary64_12405` `add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
4×	`add-log-exp_binary64_12393` `pow1_binary64_12415`
3×	`associate-/r*_binary64_12298` `pow1/3_binary64_12436` `times-frac_binary64_12360`
1×	`clear-num_binary64_12353` `associate-/l_binary64_12299` `div-inv_binary64_12351` `frac-2neg_binary64_12365` `associate-/l/_binary64_12301` `associate-l/_binary64_12297` `associate-*r/_binary64_12296`

Counts

4 → 65

Calls

4 calls:

23.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
5.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series739.0ms (8%)

Counts

4 → 21

Calls

4 calls:

366.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
131.0ms	(cbrt.f64 x)
123.0ms	(cbrt.f64 x)
119.0ms	(cbrt.f64 x)

Compiler

Compiled 532 to 430 computations (19.2% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5095	926

prune85.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	86	11	97

Error

0.0b

Counts

97 → 11

Compiler

Compiled 1301 to 277 computations (78.7% saved)

regimes764.0ms (8.3%)

Accuracy

Total 0.2b remaining (97.9%)

Threshold costs 0.2b (97.9%)

Compiler

Compiled 2354 to 1683 computations (28.5% saved)

bsearch121.0ms (1.3%)

Steps

Iters	Range		Point
10	3.482738549699414e-11	3.744968804863527	0.24830286432552534
9	-1.8149544974161557e+61	-1.8048441381532096e+56	-2.8226566525769976e+56

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	51
1	25	51

end0.0ms (0%)

sample3.1s (33.5%)

Algorithm

1×

intervals

Results

678.0ms	5423×	body	128	valid
631.0ms	1365×	body	1024	valid
279.0ms	816×	body	512	valid
102.0ms	393×	body	256	valid
72.0ms	555×	body	128	invalid
23.0ms	44×	body	512	invalid
9.0ms	18×	body	1024	invalid
9.0ms	36×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 394 to 276 computations (29.9% saved)

Details

analyze1.1s (12.2%)

sample87.0ms (0.9%)

simplify14.0ms (0.2%)

prune4.0ms (0%)

localize18.0ms (0.2%)

rewrite40.0ms (0.4%)

series551.0ms (6%)

simplify136.0ms (1.5%)

prune165.0ms (1.8%)

localize15.0ms (0.2%)

rewrite63.0ms (0.7%)

series624.0ms (6.7%)

simplify141.0ms (1.5%)

prune174.0ms (1.9%)

localize21.0ms (0.2%)

rewrite42.0ms (0.5%)

series834.0ms (9%)

simplify107.0ms (1.2%)

prune97.0ms (1.1%)

localize31.0ms (0.3%)

rewrite41.0ms (0.4%)

series739.0ms (8%)

simplify99.0ms (1.1%)

prune85.0ms (0.9%)

regimes764.0ms (8.3%)

bsearch121.0ms (1.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (33.5%)

Profiling