Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify24.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

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: 0.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16`

Counts

1 → 32

Calls

1 calls:

4.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

series75.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

75.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

simplify196.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	5099	529

prune34.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	4	36

Merged error: 0.1b

Counts

36 → 4

Compiler

Compiled 453 to 266 computations (41.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite39.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
85×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
51×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
25×	`associate-r_binary64` `associate-l_binary64`
16×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`pow1_binary64`
10×	`log-pow_binary64`
9×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 134

Calls

2 calls:

24.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
5.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series152.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
55.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify158.0ms (6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5038	2616

prune160.0ms (6.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	137	7	144

Merged error: 0.0b

Counts

144 → 7

Compiler

Compiled 2635 to 1886 computations (28.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite40.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`prod-exp_binary64`
33×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
28×	`add-cbrt-cube_binary64` `associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
20×	`div-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
10×	`1-exp_binary64` `rec-exp_binary64`
6×	`cbrt-undiv_binary64` `log-pow_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`un-div-inv_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `insert-posit16` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

2 → 119

Calls

2 calls:

21.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
13.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series144.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

87.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
57.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify218.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4733	1666
1	4733	1666

prune127.0ms (4.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

Compiler

Compiled 2007 to 1572 computations (21.7% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.8b	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.8b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite47.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
33×	`add-cube-cbrt_binary64`
31×	`associate-l_binary64`
30×	`associate-r_binary64` `unpow-prod-down_binary64`
19×	`prod-exp_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`log-pow_binary64`
4×	`cbrt-unprod_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `1-exp_binary64` `sqr-pow_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-div_binary64` `associate-*l/_binary64`

Counts

2 → 104

Calls

2 calls:

24.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
16.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series253.0ms (9.7%)

Counts

2 → 6

Calls

2 calls:

195.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
58.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify97.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5540	2692

prune180.0ms (6.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	1	2
Picked	0	1	1
Done	2	0	2
Total	111	4	115

Merged error: 0b

Counts

115 → 4

Compiler

Compiled 2767 to 2369 computations (14.4% saved)

regimes36.0ms (1.4%)

Compiler: Compiled 190 to 194 computations (-2.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	18	29

end0.0ms (0%)

sample575.0ms (21.9%)

Algorithm

1×

intervals

Results

292.0ms

8000×

body

valid

Compiler

Compiled 85 to 87 computations (-2.4% saved)

Details

analyze4.0ms (0.2%)

sample15.0ms (0.6%)

simplify24.0ms (0.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series75.0ms (2.9%)

simplify196.0ms (7.5%)

prune34.0ms (1.3%)

localize9.0ms (0.3%)

rewrite39.0ms (1.5%)

series152.0ms (5.8%)

simplify158.0ms (6%)

prune160.0ms (6.1%)

localize8.0ms (0.3%)

rewrite40.0ms (1.5%)

series144.0ms (5.5%)

simplify218.0ms (8.3%)

prune127.0ms (4.8%)

localize13.0ms (0.5%)

rewrite47.0ms (1.8%)

series253.0ms (9.7%)

simplify97.0ms (3.7%)

prune180.0ms (6.9%)

regimes36.0ms (1.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample575.0ms (21.9%)

Profiling