Details

analyze392.0ms (6.6%)

Algorithm

1×

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)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	46×	body	1024	valid
9.0ms	175×	body	128	valid
3.0ms	23×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	15×	body	128	invalid
1.0ms	3×	body	1024	invalid
0.0ms	3×	body	256	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

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

2.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_13399`
22×	`times-frac_binary64_13383`
21×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
19×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
13×	`associate-r_binary64_13317`
6×	`associate-/r*_binary64_13321` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
5×	`pow1_binary64_13438`
4×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `associate-/l*_binary64_13322`
3×	`div-inv_binary64_13374` `add-log-exp_binary64_13416` `associate-l_binary64_13318`
2×	`clear-num_binary64_13376` `unswap-sqr_binary64_13345` `associate-*r/_binary64_13319` `frac-2neg_binary64_13388`
1×	`associate-/l/_binary64_13324` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308`

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

series140.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
48.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
23.0ms	(/.f64 (sin.f64 y) y)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5174	1158

prune79.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Error

0.0b

Counts

93 → 9

Compiler

Compiled 1276 to 367 computations (71.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
2.7b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_13415`
31×	`add-cbrt-cube_binary64_13413`
22×	`prod-exp_binary64_13426`
21×	`add-sqr-sqrt_binary64_13399`
15×	`*-un-lft-identity_binary64_13377`
14×	`associate-r_binary64_13317` `add-cube-cbrt_binary64_13412` `times-frac_binary64_13383`
12×	`cbrt-unprod_binary64_13410` `div-exp_binary64_13428`
10×	`pow1_binary64_13438`
7×	`cbrt-undiv_binary64_13411` `associate-*r/_binary64_13319`
6×	`associate-l_binary64_13318`
4×	`pow-prod-down_binary64_13448`
3×	`un-div-inv_binary64_13375` `associate-/r*_binary64_13321` `rec-exp_binary64_13427` `unswap-sqr_binary64_13345` `1-exp_binary64_13421` `add-log-exp_binary64_13416`
2×	`associate-/l/_binary64_13324` `div-inv_binary64_13374` `*-commutative_binary64_13308`
1×	`clear-num_binary64_13376` `frac-2neg_binary64_13388` `associate-/l*_binary64_13322`

Counts

3 → 89

Calls

3 calls:

10.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
9.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
8.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series133.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

66.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
47.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
20.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4959	1103
1	4959	1103

prune61.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	98	9	107

Error

0.0b

Counts

107 → 9

Compiler

Compiled 1281 to 437 computations (65.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
0.6b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.7b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_13383`
54×	`add-exp-log_binary64_13415`
44×	`add-sqr-sqrt_binary64_13399`
39×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
34×	`add-cbrt-cube_binary64_13413`
26×	`div-exp_binary64_13428`
14×	`cbrt-undiv_binary64_13411`
13×	`associate-r_binary64_13317`
12×	`associate-/r*_binary64_13321`
10×	`prod-exp_binary64_13426`
9×	`associate-/l*_binary64_13322`
8×	`div-inv_binary64_13374`
7×	`pow1_binary64_13438`
6×	`cbrt-unprod_binary64_13410` `associate-*r/_binary64_13319` `associate-/r/_binary64_13323`
4×	`rec-exp_binary64_13427` `1-exp_binary64_13421` `add-log-exp_binary64_13416`
3×	`clear-num_binary64_13376` `associate-l_binary64_13318` `frac-2neg_binary64_13388`
2×	`unswap-sqr_binary64_13345`
1×	`pow-flip_binary64_13451` `inv-pow_binary64_13462` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308`

Counts

4 → 147

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(/.f64 (sin.f64 y) y)

series233.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
66.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
46.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms	(/.f64 (sin.f64 y) y)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5051	2320

prune113.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	159	9	168

Error

0.0b

Counts

168 → 9

Compiler

Compiled 2381 to 753 computations (68.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.4b	(/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))
1.6b	(/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y)))

rewrite263.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

2321×	`times-frac_binary64_13383`
948×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
396×	`cbrt-prod_binary64_13408`
337×	`associate-/r*_binary64_13321`
74×	`div-inv_binary64_13374`
45×	`add-exp-log_binary64_13415`
31×	`add-cbrt-cube_binary64_13413`
26×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
14×	`associate-/r/_binary64_13323`
4×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow1_binary64_13438` `add-log-exp_binary64_13416` `associate-/l*_binary64_13322`
2×	`clear-num_binary64_13376` `pow1/3_binary64_13459` `frac-2neg_binary64_13388`

Counts

4 → 910

Calls

4 calls:

57.0ms	(/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))
22.0ms	(/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series425.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))
108.0ms	(/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y)))
93.0ms	(cbrt.f64 z)
81.0ms	(cbrt.f64 z)

simplify387.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

922 → 922

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4955	31382
1	4955	31382

prune1.0s (17%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	921	1	922
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	922	9	931

Error

Counts

931 → 9

Compiler

Compiled 27951 to 6378 computations (77.2% saved)

regimes561.0ms (9.5%)

Accuracy

Total 0.2b remaining (99.2%)

Threshold costs 0.2b (99.2%)

Compiler

Compiled 4104 to 2691 computations (34.4% saved)

bsearch50.0ms (0.8%)

Steps

Iters	Range		Point
9	3.5066841177462086e-74	1.1263951830738371e-66	1.840100066799729e-70
8	-1.6976204064286944e+46	-3.9213981352154437e+43	-3.383625414473822e+45

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	51
1	25	51

end0.0ms (0%)

sample1.6s (26.3%)

Algorithm

1×

intervals

Results

291.0ms	5487×	body	128	valid
271.0ms	1314×	body	1024	valid
118.0ms	781×	body	512	valid
46.0ms	414×	body	256	valid
27.0ms	510×	body	128	invalid
7.0ms	51×	body	512	invalid
6.0ms	30×	body	1024	invalid
3.0ms	32×	body	256	invalid
1.0ms	4×	body	2048	valid

Compiler

Compiled 657 to 429 computations (34.7% saved)

Details

analyze392.0ms (6.6%)

sample34.0ms (0.6%)

simplify101.0ms (1.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite25.0ms (0.4%)

series140.0ms (2.4%)

simplify69.0ms (1.2%)

prune79.0ms (1.3%)

localize8.0ms (0.1%)

rewrite34.0ms (0.6%)

series133.0ms (2.2%)

simplify95.0ms (1.6%)

prune61.0ms (1%)

localize8.0ms (0.1%)

rewrite38.0ms (0.6%)

series233.0ms (3.9%)

simplify90.0ms (1.5%)

prune113.0ms (1.9%)

localize11.0ms (0.2%)

rewrite263.0ms (4.4%)

series425.0ms (7.2%)

simplify387.0ms (6.5%)

prune1.0s (17%)

regimes561.0ms (9.5%)

bsearch50.0ms (0.8%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (26.3%)

Profiling