Details

analyze316.0ms (8.1%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample43.0ms (1.1%)

Algorithm

1×

intervals

Results

22.0ms	104×	body	8192	exit
8.0ms	214×	body	128	valid
3.0ms	23×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify267.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4824	18
1	4824	18

prune5.0ms (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: 11.9b

Counts

2 → 2

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
4.6b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3175`
48×	`add-sqr-sqrt_binary64_3197`
38×	`times-frac_binary64_3181`
23×	`add-cube-cbrt_binary64_3210`
10×	`difference-of-squares_binary64_3144`
9×	`associate-/l*_binary64_3120`
8×	`distribute-lft-out_binary64_3126`
7×	`add-cbrt-cube_binary64_3211` `associate-/r*_binary64_3119`
6×	`add-exp-log_binary64_3213`
5×	`distribute-lft-out--_binary64_3127` `add-log-exp_binary64_3214`
3×	`pow1_binary64_3236`
2×	`div-sub_binary64_3180` `clear-num_binary64_3174` `flip-+_binary64_3149` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `flip3-+_binary64_3178` `cbrt-undiv_binary64_3209` `associate-/l/_binary64_3122` `associate-/r/_binary64_3121` `div-exp_binary64_3226`
1×	`flip--_binary64_3150` `flip3--_binary64_3179` `associate-+r-_binary64_3109` `+-commutative_binary64_3105` `sum-log_binary64_3266`

Counts

3 → 91

Calls

3 calls:

20.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
15.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series237.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

102.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
75.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
60.0ms	(/.f64 x (exp.f64 wj))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5183	2095

prune375.0ms (9.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0.1b

Counts

102 → 4

Compiler

Compiled 7698 to 4220 computations (45.2% saved)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.1b

Counts

4 → 4

Compiler

Compiled 71 to 45 computations (36.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (exp.f64 (neg.f64 wj)))
0.0b	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
4.6b	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_3175`
16×	`add-sqr-sqrt_binary64_3197`
14×	`add-cube-cbrt_binary64_3210`
12×	`times-frac_binary64_3181`
7×	`add-cbrt-cube_binary64_3211`
6×	`add-exp-log_binary64_3213`
5×	`distribute-lft-out_binary64_3126` `pow1_binary64_3236` `add-log-exp_binary64_3214`
4×	`associate-/r*_binary64_3119`
3×	`associate-/l_binary64_3120` `associate-l_binary64_3116` `associate-r*_binary64_3115`
2×	`exp-neg_binary64_3222` `associate-*r/_binary64_3117` `div-sub_binary64_3180` `flip-+_binary64_3149` `flip3-+_binary64_3178` `associate-/l/_binary64_3122` `associate-/r/_binary64_3121`
1×	`flip--_binary64_3150` `neg-sub0_binary64_3170` `prod-exp_binary64_3224` `flip3--_binary64_3179` `*-commutative_binary64_3106` `pow-prod-down_binary64_3246` `clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `exp-diff_binary64_3223` `cbrt-unprod_binary64_3208` `associate-+r-_binary64_3109` `+-commutative_binary64_3105` `cbrt-undiv_binary64_3209` `unswap-sqr_binary64_3143` `un-div-inv_binary64_3173` `div-exp_binary64_3226` `sum-log_binary64_3266`

Counts

3 → 70

Calls

3 calls:

17.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))
16.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
8.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))

series211.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

83.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
69.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))
58.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4972	1462
1	4972	1462

prune71.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	80	3	83

Merged error: 0.1b

Counts

83 → 3

Compiler

Compiled 1645 to 706 computations (57.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 wj 1))
0.0b	(*.f64 x (exp.f64 (neg.f64 wj)))
0.0b	(.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1)))
4.6b	(+.f64 wj (.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1))))

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_3175`
33×	`add-sqr-sqrt_binary64_3197`
26×	`times-frac_binary64_3181`
24×	`add-cube-cbrt_binary64_3210`
21×	`associate-r_binary64_3115`
18×	`add-exp-log_binary64_3213`
13×	`add-cbrt-cube_binary64_3211`
9×	`pow1_binary64_3236`
7×	`distribute-lft-out_binary64_3126`
6×	`associate-l_binary64_3116` `add-log-exp_binary64_3214`
5×	`prod-exp_binary64_3224`
4×	`associate-/r*_binary64_3119` `unswap-sqr_binary64_3143` `associate-/r/_binary64_3121` `div-exp_binary64_3226`
3×	`associate-r/_binary64_3117` `flip-+_binary64_3149` `associate-/l_binary64_3120` `cbrt-unprod_binary64_3208` `flip3-+_binary64_3178`
2×	`exp-neg_binary64_3222` `flip--_binary64_3150` `frac-times_binary64_3185` `flip3--_binary64_3179` `-commutative_binary64_3106` `pow-prod-down_binary64_3246` `div-inv_binary64_3172` `1-exp_binary64_3219` `cbrt-undiv_binary64_3209` `associate-l/_binary64_3118` `un-div-inv_binary64_3173` `rec-exp_binary64_3225`
1×	`neg-sub0_binary64_3170` `clear-num_binary64_3174` `frac-2neg_binary64_3186` `exp-diff_binary64_3223` `+-commutative_binary64_3105` `pow-flip_binary64_3249` `inv-pow_binary64_3260` `sum-log_binary64_3266`

Counts

4 → 114

Calls

4 calls:

20.0ms	(.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1)))
8.0ms	(/.f64 1 (+.f64 wj 1))
8.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))
4.0ms	(+.f64 wj (.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1))))

series222.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1)))
71.0ms	(+.f64 wj (.f64 (-.f64 (.f64 x (exp.f64 (neg.f64 wj))) wj) (/.f64 1 (+.f64 wj 1))))
48.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))
19.0ms	(/.f64 1 (+.f64 wj 1))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5523	1931

prune111.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0.1b

Counts

129 → 3

Compiler

Compiled 2481 to 1195 computations (51.8% saved)

regimes21.0ms (0.5%)

Compiler: Compiled 140 to 94 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.6s (41.5%)

Algorithm

1×

intervals

Results

862.0ms	3842×	body	8192	exit
253.0ms	6565×	body	128	valid
84.0ms	694×	body	512	valid
56.0ms	724×	body	256	valid
3.0ms	70×	body	128	invalid
3.0ms	17×	body	1024	valid
0.0ms	12×	body	128	overflowed

Compiler

Compiled 111 to 72 computations (35.1% saved)

Details

analyze316.0ms (8.1%)

sample43.0ms (1.1%)

simplify267.0ms (6.9%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite48.0ms (1.2%)

series237.0ms (6.1%)

simplify56.0ms (1.4%)

prune375.0ms (9.6%)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite47.0ms (1.2%)

series211.0ms (5.4%)

simplify69.0ms (1.8%)

prune71.0ms (1.8%)

localize10.0ms (0.3%)

rewrite51.0ms (1.3%)

series222.0ms (5.7%)

simplify79.0ms (2%)

prune111.0ms (2.8%)

regimes21.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (41.5%)

Profiling