Details

analyze4.0ms (0.1%)

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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify161.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_85`
10×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
5×	`pow1_binary64_140`
4×	`associate-/r*_binary64_23` `log-pow_binary64_168`
3×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `associate-/l*_binary64_24`
1×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `div-inv_binary64_76` `add-log-exp_binary64_118` `clear-num_binary64_78` `frac-2neg_binary64_90`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series55.0ms (2%)

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify112.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5096	518

prune102.0ms (3.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	8	35

Merged error: 0.0b

Counts

35 → 8

Compiler

Compiled 1461 to 1046 computations (28.4% 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))))

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_101`
85×	`times-frac_binary64_85`
52×	`*-un-lft-identity_binary64_79`
51×	`sqrt-prod_binary64_95`
46×	`add-cube-cbrt_binary64_114`
26×	`add-exp-log_binary64_117`
25×	`associate-l_binary64_20` `associate-r_binary64_19`
16×	`add-cbrt-cube_binary64_115`
15×	`unswap-sqr_binary64_47`
14×	`pow1_binary64_140`
10×	`log-pow_binary64_168`
9×	`div-exp_binary64_130`
8×	`prod-exp_binary64_128`
7×	`associate-/r*_binary64_23`
5×	`cbrt-undiv_binary64_113`
4×	`cbrt-unprod_binary64_112`
3×	`div-inv_binary64_76` `associate-/l*_binary64_24`
2×	`1-exp_binary64_123` `rec-exp_binary64_129` `add-log-exp_binary64_118`
1×	`frac-times_binary64_89` `associate-l/_binary64_22` `associate-r/_binary64_21` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `clear-num_binary64_78` `frac-2neg_binary64_90`

Counts

2 → 132

Calls

2 calls:

23.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
4.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series148.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
59.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify95.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5132	2592

prune268.0ms (9.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

Compiler

Compiled 4419 to 3318 computations (24.9% saved)

localize9.0ms (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)))))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_117`
46×	`times-frac_binary64_85`
43×	`add-sqr-sqrt_binary64_101`
40×	`prod-exp_binary64_128`
33×	`*-un-lft-identity_binary64_79`
31×	`add-cube-cbrt_binary64_114`
28×	`associate-l_binary64_20` `add-cbrt-cube_binary64_115`
26×	`sqrt-prod_binary64_95` `associate-r_binary64_19`
20×	`div-exp_binary64_130`
15×	`pow1_binary64_140`
12×	`cbrt-unprod_binary64_112`
10×	`1-exp_binary64_123` `rec-exp_binary64_129`
6×	`cbrt-undiv_binary64_113` `log-pow_binary64_168`
5×	`associate-*r/_binary64_21` `unswap-sqr_binary64_47`
4×	`pow-prod-down_binary64_150`
3×	`un-div-inv_binary64_77`
2×	`div-inv_binary64_76` `frac-times_binary64_89` `*-commutative_binary64_10` `add-log-exp_binary64_118`
1×	`associate-*l/_binary64_22`

Counts

2 → 117

Calls

2 calls:

17.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
15.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series149.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
53.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify127.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4735	1642
1	4735	1642

prune148.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0b

Counts

132 → 6

Compiler

Compiled 2285 to 1815 computations (20.6% 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))

rewrite53.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_95`
48×	`add-sqr-sqrt_binary64_101`
46×	`times-frac_binary64_85`
35×	`*-un-lft-identity_binary64_79`
34×	`add-exp-log_binary64_117`
33×	`add-cube-cbrt_binary64_114`
31×	`associate-l_binary64_20`
30×	`unpow-prod-down_binary64_158` `associate-r_binary64_19`
19×	`prod-exp_binary64_128`
10×	`pow1_binary64_140`
9×	`add-cbrt-cube_binary64_115`
8×	`pow-exp_binary64_147`
7×	`unswap-sqr_binary64_47`
6×	`log-pow_binary64_168`
4×	`div-exp_binary64_130` `cbrt-unprod_binary64_112`
2×	`pow-to-exp_binary64_148` `sqr-pow_binary64_51` `1-exp_binary64_123` `div-inv_binary64_76` `rec-exp_binary64_129` `*-commutative_binary64_10` `add-log-exp_binary64_118`
1×	`associate-*l/_binary64_22` `pow-prod-down_binary64_150` `sqrt-div_binary64_96`

Counts

2 → 102

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))

series242.0ms (8.8%)

Counts

2 → 6

Calls

2 calls:

176.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
67.0ms	(.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)))

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5536	2642

prune197.0ms (7.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

Compiler

Compiled 3086 to 2680 computations (13.2% saved)

regimes51.0ms (1.9%)

Compiler: Compiled 326 to 330 computations (-1.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample621.0ms (22.6%)

Algorithm

1×

intervals

Results

318.0ms

8000×

body

128

valid

Compiler

Compiled 101 to 103 computations (-2% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.6%)

simplify161.0ms (5.8%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite6.0ms (0.2%)

series55.0ms (2%)

simplify112.0ms (4.1%)

prune102.0ms (3.7%)

localize9.0ms (0.3%)

rewrite43.0ms (1.6%)

series148.0ms (5.4%)

simplify95.0ms (3.4%)

prune268.0ms (9.8%)

localize9.0ms (0.3%)

rewrite45.0ms (1.6%)

series149.0ms (5.4%)

simplify127.0ms (4.6%)

prune148.0ms (5.4%)

localize13.0ms (0.5%)

rewrite53.0ms (1.9%)

series242.0ms (8.8%)

simplify59.0ms (2.2%)

prune197.0ms (7.2%)

regimes51.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample621.0ms (22.6%)

Profiling