Details

analyze122.0ms (2.4%)

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify198.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5574	16

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

7.9b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

7.3b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
0.0b	(+.f64 (/.f64 x y) 1)
0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
7.3b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_24289`
10×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
9×	`add-sqr-sqrt_binary64_24311`
7×	`add-cube-cbrt_binary64_24324`
5×	`add-log-exp_binary64_24328` `pow1_binary64_24350`
4×	`flip3-+_binary64_24292` `times-frac_binary64_24295` `associate-r_binary64_24229` `distribute-lft-out_binary64_24240` `associate-r/_binary64_24231` `flip-+_binary64_24263` `associate-/r_binary64_24233`
3×	`associate-l_binary64_24230`
2×	`associate-/r/_binary64_24235` `cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `cbrt-unprod_binary64_24322` `associate-/l/_binary64_24236` `prod-exp_binary64_24338`
1×	`clear-num_binary64_24288` `sum-log_binary64_24380` `-commutative_binary64_24220` `div-inv_binary64_24286` `unswap-sqr_binary64_24257` `associate-/l_binary64_24234` `distribute-rgt-in_binary64_24239` `pow-prod-down_binary64_24360` `+-commutative_binary64_24219` `frac-2neg_binary64_24300` `distribute-lft-in_binary64_24238`

Counts

3 → 62

Calls

6 calls:

15.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
7.0ms	(+.f64 (/.f64 x y) 1)
0.0ms	(+.f64 (/.f64 x y) 1)
0.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

series267.0ms (5.2%)

Counts

3 → 42

Calls

3 calls:

127.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
84.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
55.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 655 to 541 computations (17.4% saved)

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5034	1393

prune107.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Error

0.0b

Counts

105 → 5

Compiler

Compiled 1542 to 881 computations (42.9% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.0b	(+.f64 (/.f64 x y) 1)
0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64_24289`
146×	`times-frac_binary64_24295`
72×	`add-cube-cbrt_binary64_24324` `add-sqr-sqrt_binary64_24311`
43×	`distribute-lft-out_binary64_24240`
26×	`associate-/r*_binary64_24233`
11×	`associate-/r/_binary64_24235`
10×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
7×	`flip3-+_binary64_24292` `associate-/l*_binary64_24234` `flip-+_binary64_24263`
6×	`div-inv_binary64_24286`
5×	`add-log-exp_binary64_24328`
4×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340`
3×	`pow1_binary64_24350`
2×	`clear-num_binary64_24288` `associate-/l/_binary64_24236` `frac-2neg_binary64_24300`
1×	`sum-log_binary64_24380` `+-commutative_binary64_24219`

Counts

3 → 158

Calls

6 calls:

15.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
8.0ms	(+.f64 (/.f64 x y) 1)
0.0ms	(+.f64 (/.f64 x y) 1)
0.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))

series291.0ms (5.6%)

Counts

3 → 51

Calls

3 calls:

124.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
113.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
53.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1051 to 819 computations (22.1% saved)

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4969	4974
1	4969	4974

prune221.0ms (4.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	208	6	214

Error

0.0b

Counts

214 → 6

Compiler

Compiled 4212 to 2358 computations (44% saved)

localize28.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y)))))
0.0b	(+.f64 1 (/.f64 x y))
0.0b	(+.f64 1 (/.f64 x y))
0.0b	(+.f64 1 (/.f64 x y))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_24320`
23×	`add-sqr-sqrt_binary64_24311`
15×	`add-cube-cbrt_binary64_24324` `*-un-lft-identity_binary64_24289`
11×	`pow1_binary64_24350`
9×	`pow1/3_binary64_24371`
6×	`associate-r_binary64_24229` `swap-sqr_binary64_24256` `associate-l_binary64_24230` `add-exp-log_binary64_24327`
4×	`add-log-exp_binary64_24328` `unswap-sqr_binary64_24257` `add-cbrt-cube_binary64_24325`
2×	`pow-sqr_binary64_24262` `pow-prod-up_binary64_24359` `pow-prod-down_binary64_24360`
1×	`pow2_binary64_24370` `cbrt-unprod_binary64_24322` `*-commutative_binary64_24220` `prod-exp_binary64_24338` `pow-plus_binary64_24352`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(+.f64 1 (/.f64 x y))

series348.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
87.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)

Compiler

Compiled 1114 to 814 computations (26.9% saved)

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune166.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 4027 to 2391 computations (40.6% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.3b	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))
0.2b	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
0.0b	(+.f64 (/.f64 x y) 1)
0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
0.2b	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
7.3b	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))

rewrite60.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`times-frac_binary64_24295`
43×	`*-un-lft-identity_binary64_24289`
32×	`add-exp-log_binary64_24327`
29×	`add-sqr-sqrt_binary64_24311`
27×	`add-cube-cbrt_binary64_24324`
20×	`add-cbrt-cube_binary64_24325`
14×	`div-exp_binary64_24340`
12×	`associate-*r/_binary64_24231`
11×	`associate-/r/_binary64_24235` `associate-/r*_binary64_24233`
8×	`flip3-+_binary64_24292` `distribute-lft-out_binary64_24240` `flip-+_binary64_24263`
7×	`cbrt-undiv_binary64_24323` `associate-/l*_binary64_24234` `pow1_binary64_24350`
6×	`add-log-exp_binary64_24328` `div-inv_binary64_24286`
5×	`prod-exp_binary64_24338`
4×	`associate-r_binary64_24229`
3×	`cbrt-unprod_binary64_24322` `1-exp_binary64_24333` `rec-exp_binary64_24339` `associate-l_binary64_24230`
2×	`clear-num_binary64_24288` `associate-/l/_binary64_24236` `frac-2neg_binary64_24300`
1×	`sum-log_binary64_24380` `*-commutative_binary64_24220` `unswap-sqr_binary64_24257` `distribute-rgt-in_binary64_24239` `pow-prod-down_binary64_24360` `+-commutative_binary64_24219` `pow-flip_binary64_24363` `inv-pow_binary64_24374` `distribute-lft-in_binary64_24238`

Counts

4 → 130

Calls

8 calls:

18.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
13.0ms	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))
10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
7.0ms	(+.f64 (/.f64 x y) 1)
0.0ms	(+.f64 (/.f64 x y) 1)

series397.0ms (7.7%)

Counts

4 → 63

Calls

4 calls:

132.0ms	(/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1)))
126.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 (/.f64 x y) 1))))
88.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
51.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1353 to 1113 computations (17.7% saved)

simplify101.0ms (2%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5038	3659

prune177.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	0	3	3
Picked	1	0	1
Done	1	1	2
Total	193	6	199

Error

Counts

199 → 6

Compiler

Compiled 3451 to 2051 computations (40.6% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	207	857
1	207	857

regimes121.0ms (2.3%)

Compiler: Compiled 1152 to 846 computations (26.6% saved)

bsearch0.0ms (0%)

regimes60.0ms (1.2%)

Compiler: Compiled 176 to 164 computations (6.8% saved)

bsearch28.0ms (0.5%)

Steps

Iters	Range		Point
8	954620873126964.6	2.924130430065434e+17	18038856771156356.0
8	-19314144057939028.0	-3193150635446.4253	-7952346188264682.0

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes99.0ms (1.9%)

Compiler: Compiled 132 to 130 computations (1.5% saved)

bsearch29.0ms (0.6%)

Steps

Iters	Range		Point
7	0.05711394243750176	8.950311543385162	1.014357054030111
8	-839.8201928052569	-0.043506488717864646	-0.991934794965992

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes115.0ms (2.2%)

Compiler: Compiled 96 to 102 computations (-6.3% saved)

bsearch65.0ms (1.3%)

Steps

Iters	Range		Point
9	641.3013279227254	1283602790.0785544	158386.34533262133
8	1.3397458934246438e-81	1.9431259425242488e-77	1.4399126304675303e-80
6	-1.8530612388721886e-60	-4.07335251728372e-61	-1.0295610893626198e-60
8	-839.8201928052569	-0.043506488717864646	-597.6030678285383

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes123.0ms (2.4%)

Compiler: Compiled 78 to 86 computations (-10.3% saved)

bsearch79.0ms (1.5%)

Steps

Iters	Range		Point
5	3.796879022901546e+38	8.991696153041465e+38	3.9891505567841346e+38
9	641.3013279227254	1283602790.0785544	20869172.314364895
8	1.3397458934246438e-81	1.9431259425242488e-77	5.939446886285342e-81
6	-1.8530612388721886e-60	-4.07335251728372e-61	-1.6199191312617614e-60
9	-0.043506488717864646	-1.1037937100656982e-08	-0.04016317804899341
9	-2.2484007357584147e+48	-6.155699423957917e+40	-2.4403932394529697e+41

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes79.0ms (1.5%)

Compiler: Compiled 42 to 60 computations (-42.9% saved)

bsearch24.0ms (0.5%)

Steps

Iters	Range		Point
5	3.796879022901546e+38	8.991696153041465e+38	4.117331579372527e+38
9	-2.2484007357584147e+48	-6.155699423957917e+40	-6.262569945783233e+40

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes87.0ms (1.7%)

Compiler: Compiled 18 to 36 computations (-100% saved)

bsearch55.0ms (1.1%)

Steps

Iters	Range		Point
5	3.796879022901546e+38	8.991696153041465e+38	4.373693624549313e+38
4	8.950311543385162	14.07861670485372	9.110571079681053
8	-839.8201928052569	-0.043506488717864646	-0.991934794965992
8	-3.189684271643043e+28	-6.815277075992828e+24	-1.332808735854901e+26
9	-2.2484007357584147e+48	-6.155699423957917e+40	-4.366235517293269e+43

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes31.0ms (0.6%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch17.0ms (0.3%)

Steps

Iters	Range		Point
4	8.950311543385162	14.07861670485372	9.110571079681053
8	-839.8201928052569	-0.043506488717864646	-0.991934794965992

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch10.0ms (0.2%)

Compiler: Compiled 266 to 174 computations (34.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	118	359
1	118	359

end0.0ms (0%)

sample1.2s (23.1%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
8.0ms	261×	body	128	invalid

Compiler

Compiled 847 to 609 computations (28.1% saved)

Pareto

0.3440967611431967

Details

analyze122.0ms (2.4%)

sample21.0ms (0.4%)

simplify198.0ms (3.8%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite40.0ms (0.8%)

series267.0ms (5.2%)

simplify94.0ms (1.8%)

prune107.0ms (2.1%)

localize7.0ms (0.1%)

rewrite54.0ms (1%)

series291.0ms (5.6%)

simplify100.0ms (1.9%)

prune221.0ms (4.3%)

localize28.0ms (0.5%)

rewrite19.0ms (0.4%)

series348.0ms (6.7%)

simplify77.0ms (1.5%)

prune166.0ms (3.2%)

localize9.0ms (0.2%)

rewrite60.0ms (1.2%)

series397.0ms (7.7%)

simplify101.0ms (2%)

prune177.0ms (3.4%)

simplify13.0ms (0.2%)

regimes121.0ms (2.3%)

bsearch0.0ms (0%)

regimes60.0ms (1.2%)

bsearch28.0ms (0.5%)

regimes99.0ms (1.9%)

bsearch29.0ms (0.6%)

regimes115.0ms (2.2%)

bsearch65.0ms (1.3%)

regimes123.0ms (2.4%)

bsearch79.0ms (1.5%)

regimes79.0ms (1.5%)

bsearch24.0ms (0.5%)

regimes87.0ms (1.7%)

bsearch55.0ms (1.1%)

regimes31.0ms (0.6%)

bsearch17.0ms (0.3%)

regimes18.0ms (0.3%)

bsearch10.0ms (0.2%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (23.1%)

Profiling