Details

analyze403.0ms (9.4%)

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)

sample35.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	171×	body	128	valid
9.0ms	37×	body	1024	valid
4.0ms	28×	body	512	valid
2.0ms	20×	body	256	valid
1.0ms	10×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify167.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune2.0ms (0.1%)

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

Merged error: 2.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (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)

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_15237`
22×	`times-frac_binary64_15221`
21×	`*-un-lft-identity_binary64_15215` `add-cube-cbrt_binary64_15250`
19×	`add-cbrt-cube_binary64_15251` `add-exp-log_binary64_15253`
13×	`associate-r_binary64_15155`
6×	`cbrt-undiv_binary64_15249` `associate-/r*_binary64_15159` `div-exp_binary64_15266`
5×	`pow1_binary64_15276`
4×	`associate-/l*_binary64_15160` `cbrt-unprod_binary64_15248` `prod-exp_binary64_15264`
3×	`associate-l_binary64_15156` `div-inv_binary64_15212` `add-log-exp_binary64_15254`
2×	`unswap-sqr_binary64_15183` `frac-2neg_binary64_15226` `associate-*r/_binary64_15157` `clear-num_binary64_15214`
1×	`associate-/l/_binary64_15162` `pow-prod-down_binary64_15286` `*-commutative_binary64_15146`

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)

series265.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
89.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
35.0ms	(/.f64 (sin.f64 y) y)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4944	1161
1	4944	1161

prune271.0ms (6.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

Compiler

Compiled 4258 to 2355 computations (44.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))
2.0b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite68.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64_15221`
106×	`add-sqr-sqrt_binary64_15237`
94×	`*-un-lft-identity_binary64_15215`
92×	`add-cube-cbrt_binary64_15250`
64×	`add-exp-log_binary64_15253`
44×	`associate-r_binary64_15155`
34×	`add-cbrt-cube_binary64_15251`
30×	`div-exp_binary64_15266`
19×	`associate-/r*_binary64_15159`
14×	`prod-exp_binary64_15264` `cbrt-undiv_binary64_15249`
11×	`div-inv_binary64_15212`
7×	`associate-/l*_binary64_15160` `pow1_binary64_15276`
6×	`1-exp_binary64_15259` `cbrt-unprod_binary64_15248` `rec-exp_binary64_15265`
5×	`unswap-sqr_binary64_15183`
4×	`add-log-exp_binary64_15254`
3×	`associate-l_binary64_15156` `frac-2neg_binary64_15226` `clear-num_binary64_15214`
2×	`associate-/r/_binary64_15161` `associate-*r/_binary64_15157` `associate-/l/_binary64_15162` `un-div-inv_binary64_15213`
1×	`inv-pow_binary64_15300` `pow-flip_binary64_15289` `pow-prod-down_binary64_15286` `*-commutative_binary64_15146`

Counts

4 → 207

Calls

4 calls:

18.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
13.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series305.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
86.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
54.0ms	(/.f64 y (sin.f64 y))
37.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5123	3132

prune178.0ms (4.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	219	9	228

Merged error: 0.0b

Counts

228 → 9

Compiler

Compiled 3612 to 1285 computations (64.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
2.0b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_15253`
31×	`add-cbrt-cube_binary64_15251`
22×	`prod-exp_binary64_15264`
21×	`add-sqr-sqrt_binary64_15237`
15×	`*-un-lft-identity_binary64_15215`
14×	`associate-r_binary64_15155` `times-frac_binary64_15221` `add-cube-cbrt_binary64_15250`
12×	`cbrt-unprod_binary64_15248` `div-exp_binary64_15266`
10×	`pow1_binary64_15276`
7×	`associate-*r/_binary64_15157` `cbrt-undiv_binary64_15249`
6×	`associate-l_binary64_15156`
4×	`pow-prod-down_binary64_15286`
3×	`1-exp_binary64_15259` `unswap-sqr_binary64_15183` `un-div-inv_binary64_15213` `rec-exp_binary64_15265` `add-log-exp_binary64_15254` `associate-/r*_binary64_15159`
2×	`div-inv_binary64_15212` `associate-/l/_binary64_15162` `*-commutative_binary64_15146`
1×	`associate-/l*_binary64_15160` `frac-2neg_binary64_15226` `clear-num_binary64_15214`

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)))

series264.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

136.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
89.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
39.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	1103
1	4953	1103

prune64.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

Compiler

Compiled 1240 to 417 computations (66.4% saved)

localize8.0ms (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)
2.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_15253`
31×	`add-cbrt-cube_binary64_15251` `add-sqr-sqrt_binary64_15237`
28×	`times-frac_binary64_15221`
26×	`associate-r_binary64_15155` `*-un-lft-identity_binary64_15215` `add-cube-cbrt_binary64_15250`
22×	`prod-exp_binary64_15264`
12×	`cbrt-unprod_binary64_15248` `div-exp_binary64_15266`
10×	`pow1_binary64_15276`
7×	`cbrt-undiv_binary64_15249`
4×	`associate-l_binary64_15156` `associate-*r/_binary64_15157` `pow-prod-down_binary64_15286`
3×	`associate-/l_binary64_15160` `1-exp_binary64_15259` `div-inv_binary64_15212` `rec-exp_binary64_15265` `add-log-exp_binary64_15254` `associate-/r_binary64_15159`
2×	`unswap-sqr_binary64_15183` `*-commutative_binary64_15146`
1×	`associate-*l/_binary64_15158` `frac-2neg_binary64_15226` `clear-num_binary64_15214` `un-div-inv_binary64_15213` `frac-times_binary64_15225`

Counts

3 → 105

Calls

3 calls:

12.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series256.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
89.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
36.0ms	(/.f64 (sin.f64 y) y)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5004	1475

prune146.0ms (3.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	114	9	123

Merged error: 0b

Counts

123 → 9

Compiler

Compiled 2444 to 1208 computations (50.6% saved)

regimes115.0ms (2.7%)

Compiler: Compiled 576 to 498 computations (13.5% saved)

bsearch43.0ms (1%)

Steps

Iters	Range		Point
7	2.0475132591406347e-19	6.813267735184235e-18	4.5434271798398006e-18
8	-9.300573287546309e-41	-1.0636603657156893e-43	-9.153932362511965e-41

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	48
1	24	48

end0.0ms (0%)

sample1.3s (29.9%)

Algorithm

1×

intervals

Results

343.0ms	1366×	body	1024	valid
299.0ms	5440×	body	128	valid
128.0ms	805×	body	512	valid
42.0ms	387×	body	256	valid
36.0ms	526×	body	128	invalid
10.0ms	60×	body	512	invalid
6.0ms	24×	body	1024	invalid
6.0ms	52×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 166 to 125 computations (24.7% saved)

Details

analyze403.0ms (9.4%)

sample35.0ms (0.8%)

simplify167.0ms (3.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series265.0ms (6.1%)

simplify78.0ms (1.8%)

prune271.0ms (6.3%)

localize8.0ms (0.2%)

rewrite68.0ms (1.6%)

series305.0ms (7.1%)

simplify84.0ms (1.9%)

prune178.0ms (4.1%)

localize8.0ms (0.2%)

rewrite35.0ms (0.8%)

series264.0ms (6.1%)

simplify69.0ms (1.6%)

prune64.0ms (1.5%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series256.0ms (5.9%)

simplify82.0ms (1.9%)

prune146.0ms (3.4%)

regimes115.0ms (2.7%)

bsearch43.0ms (1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (29.9%)

Profiling