Details

analyze447.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify343.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (337.0ms)

Iter	Nodes	Cost
0	5830	21

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite134.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_22265`
11×	`*-un-lft-identity_binary64_22243`
9×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
8×	`add-cube-cbrt_binary64_22278`
7×	`associate-r_binary64_22183`
6×	`cancel-sign-sub-inv_binary64_22209`
4×	`pow1_binary64_22304` `associate-*r/_binary64_22185` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
3×	`times-frac_binary64_22249` `associate-/r_binary64_22187` `associate-l*_binary64_22184`
2×	`prod-exp_binary64_22292` `div-exp_binary64_22294` `add-log-exp_binary64_22282` `cbrt-undiv_binary64_22277` `cbrt-unprod_binary64_22276` `flip3--_binary64_22247` `associate-/l/_binary64_22190` `flip--_binary64_22218` `associate-/r/_binary64_22189` `sub-neg_binary64_22236` `difference-of-squares_binary64_22212`
1×	`frac-2neg_binary64_22254` `clear-num_binary64_22242` `div-inv_binary64_22240` `flip3-+_binary64_22246` `flip-+_binary64_22217` `associate-/l_binary64_22188` `pow-prod-down_binary64_22314` `unswap-sqr_binary64_22211` `difference-of-sqr-1_binary64_22213` `distribute-lft-out--_binary64_22195` `-commutative_binary64_22174`

Counts

2 → 57

Calls

2 calls:

21.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
8.0ms	(*.f64 6 (-.f64 x 1))

Compiler

Compiled 1303 to 975 computations (25.2% saved)

series83.0ms (1.4%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

40.0ms	(*.f64 6 (-.f64 x 1))
33.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

Compiler

Compiled 237 to 199 computations (16% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5180	922

prune98.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Error

Counts

67 → 5

Compiler

Compiled 1306 to 967 computations (26% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite217.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`add-sqr-sqrt_binary64_22265`
47×	`*-un-lft-identity_binary64_22243`
43×	`times-frac_binary64_22249`
27×	`associate-r_binary64_22183`
26×	`add-cube-cbrt_binary64_22278`
14×	`difference-of-squares_binary64_22212`
9×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
7×	`difference-of-sqr-1_binary64_22213` `distribute-lft-out--_binary64_22195` `associate-/l*_binary64_22188`
4×	`pow1_binary64_22304` `associate-/r/_binary64_22189`
3×	`associate-/r_binary64_22187` `associate-l*_binary64_22184`
2×	`div-exp_binary64_22294` `add-log-exp_binary64_22282` `cbrt-undiv_binary64_22277` `div-inv_binary64_22240` `associate-/l/_binary64_22190` `flip3-+_binary64_22246` `flip-+_binary64_22217` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276` `unswap-sqr_binary64_22211`
1×	`frac-2neg_binary64_22254` `div-sub_binary64_22248` `clear-num_binary64_22242` `flip3--_binary64_22247` `flip--_binary64_22218` `pow-prod-down_binary64_22314` `associate-r/_binary64_22185` `-commutative_binary64_22174`

Counts

2 → 94

Calls

2 calls:

21.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
16.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 2620 to 1904 computations (27.3% saved)

series45.0ms (0.8%)

Error

Counts

2 → 6

Calls

2 calls:

23.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
19.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))

Compiler

Compiled 104 to 105 computations (-1% saved)

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5853	2574

prune140.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Error

Counts

105 → 4

Compiler

Compiled 2473 to 1797 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0b	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))

rewrite385.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

186×	`times-frac_binary64_22249`
150×	`add-sqr-sqrt_binary64_22265`
134×	`*-un-lft-identity_binary64_22243`
86×	`add-cube-cbrt_binary64_22278`
34×	`associate-/r*_binary64_22187`
32×	`difference-of-squares_binary64_22212`
16×	`difference-of-sqr-1_binary64_22213` `distribute-lft-out--_binary64_22195`
11×	`associate-/r/_binary64_22189`
9×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
6×	`div-inv_binary64_22240` `associate-/l*_binary64_22188`
5×	`flip3--_binary64_22247` `flip--_binary64_22218`
4×	`div-exp_binary64_22294` `cbrt-undiv_binary64_22277`
2×	`pow1_binary64_22304` `add-log-exp_binary64_22282` `frac-2neg_binary64_22254` `clear-num_binary64_22242` `associate-/l/_binary64_22190`
1×	`flip3-+_binary64_22246` `flip-+_binary64_22217`

Counts

2 → 173

Calls

2 calls:

15.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))

Compiler

Compiled 5306 to 3939 computations (25.8% saved)

series51.0ms (0.9%)

Error

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
18.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))

Compiler

Compiled 105 to 106 computations (-1% saved)

simplify133.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5114	6458

prune302.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	179	4	183

Error

Counts

183 → 4

Compiler

Compiled 4973 to 3646 computations (26.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
0.1b	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)

rewrite675.0ms (11.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

110×	`*-un-lft-identity_binary64_22243`
90×	`cbrt-prod_binary64_22274`
86×	`times-frac_binary64_22249`
81×	`add-sqr-sqrt_binary64_22265`
66×	`add-cube-cbrt_binary64_22278`
56×	`unpow-prod-down_binary64_22322` `cube-prod_binary64_22271`
45×	`associate-r_binary64_22183`
22×	`distribute-lft-out_binary64_22194`
14×	`associate-/r/_binary64_22189`
11×	`add-exp-log_binary64_22281`
10×	`add-cbrt-cube_binary64_22279`
8×	`flip3-+_binary64_22246` `flip-+_binary64_22217`
7×	`div-inv_binary64_22240` `pow1_binary64_22304` `unswap-sqr_binary64_22211`
4×	`add-log-exp_binary64_22282` `sqr-pow_binary64_22215` `associate-/l*_binary64_22188`
3×	`pow-unpow_binary64_22320` `unpow3_binary64_22309` `cube-mult_binary64_22273` `cube-div_binary64_22272` `associate-/r_binary64_22187` `associate-l*_binary64_22184`
2×	`div-exp_binary64_22294` `pow-exp_binary64_22311` `rem-cube-cbrt_binary64_22266` `cbrt-undiv_binary64_22277` `cbrt-div_binary64_22275` `associate-/l/_binary64_22190`
1×	`pow-pow_binary64_22315` `pow-to-exp_binary64_22312` `pow1/3_binary64_22325` `rem-cbrt-cube_binary64_22267` `frac-2neg_binary64_22254` `clear-num_binary64_22242` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276` `associate-r/_binary64_22185` `-commutative_binary64_22174`

Counts

4 → 210

Calls

4 calls:

41.0ms	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
22.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
14.0ms	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)
10.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 6993 to 5417 computations (22.5% saved)

series101.0ms (1.8%)

Error

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 6 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))) 3)))
23.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3))
22.0ms	(pow.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))) 3)
18.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 286 to 287 computations (-0.3% saved)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5110	5967

prune410.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	222	4	226

Error

Counts

226 → 4

Compiler

Compiled 5723 to 4397 computations (23.2% saved)

regimes199.0ms (3.5%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 1859 to 1521 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample1.6s (28.1%)

Algorithm

1×

intervals

Results

410.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 860 to 705 computations (18% saved)

Details

analyze447.0ms (7.8%)

sample24.0ms (0.4%)

simplify343.0ms (6%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite134.0ms (2.3%)

series83.0ms (1.4%)

simplify75.0ms (1.3%)

prune98.0ms (1.7%)

localize8.0ms (0.1%)

rewrite217.0ms (3.8%)

series45.0ms (0.8%)

simplify102.0ms (1.8%)

prune140.0ms (2.5%)

localize9.0ms (0.1%)

rewrite385.0ms (6.7%)

series51.0ms (0.9%)

simplify133.0ms (2.3%)

prune302.0ms (5.3%)

localize11.0ms (0.2%)

rewrite675.0ms (11.8%)

series101.0ms (1.8%)

simplify103.0ms (1.8%)

prune410.0ms (7.2%)

regimes199.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (28.1%)

Profiling