Details

analyze2.5s (13.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	209
1	4999	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample95.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
9.0ms	114×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify852.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (841.0ms)

Iter	Nodes	Cost
0	4162	19
1	4162	19

prune5.0ms (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

8.0b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(.f64 (.f64 z 9) t)
7.5b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`pow1_binary64_18553`
6×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
5×	`add-log-exp_binary64_18531`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
3×	`times-frac_binary64_18498` `associate-/l_binary64_18437` `associate-r*_binary64_18432` `pow-prod-down_binary64_18563`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `flip--_binary64_18467` `flip3--_binary64_18496` `cbrt-undiv_binary64_18526`
1×	`diff-log_binary64_18584` `associate-l_binary64_18433` `frac-2neg_binary64_18503` `sub-neg_binary64_18485` `-commutative_binary64_18423` `clear-num_binary64_18491` `cancel-sign-sub-inv_binary64_18458` `div-inv_binary64_18489` `div-sub_binary64_18497` `associate-/r_binary64_18436`

Counts

3 → 54

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
10.0ms	(.f64 (.f64 z 9) t)
8.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

series1.3s (7%)

Counts

3 → 57

Calls

3 calls:

813.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
361.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
100.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1090 to 1114 computations (-2.2% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5092	1631

prune202.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	10	112

Error

4.7b

Counts

112 → 10

Compiler

Compiled 1840 to 1077 computations (41.5% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(.f64 (.f64 z 9) t)
7.4b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 2))

rewrite58.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_18514`
30×	`add-exp-log_binary64_18530`
25×	`times-frac_binary64_18498`
20×	`add-cbrt-cube_binary64_18528` `*-un-lft-identity_binary64_18492`
18×	`add-cube-cbrt_binary64_18527`
16×	`associate-r_binary64_18432`
14×	`associate-l_binary64_18433`
11×	`prod-exp_binary64_18541`
10×	`pow1_binary64_18553`
8×	`div-exp_binary64_18543`
7×	`cbrt-unprod_binary64_18525`
6×	`unswap-sqr_binary64_18460`
5×	`add-log-exp_binary64_18531`
4×	`cbrt-undiv_binary64_18526` `pow-prod-down_binary64_18563`
2×	`rec-exp_binary64_18542` `*-commutative_binary64_18423` `div-inv_binary64_18489` `1-exp_binary64_18536`
1×	`associate-r/_binary64_18434` `diff-log_binary64_18584` `flip--_binary64_18467` `sub-neg_binary64_18485` `flip3--_binary64_18496` `frac-times_binary64_18502` `cancel-sign-sub-inv_binary64_18458` `associate-l/_binary64_18435`

Counts

3 → 86

Calls

3 calls:

26.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 2))
10.0ms	(.f64 (.f64 z 9) t)
8.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

series1.3s (6.8%)

Counts

3 → 57

Calls

3 calls:

799.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 2))
352.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
99.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1186 to 1210 computations (-2% saved)

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4962	2446
1	4962	2446

prune268.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	141	12	153

Error

4.7b

Counts

153 → 12

Compiler

Compiled 2726 to 1677 computations (38.5% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))
0.2b	(.f64 z (.f64 9 t))
7.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`pow1_binary64_18553`
6×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
5×	`add-log-exp_binary64_18531`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
3×	`times-frac_binary64_18498` `associate-l_binary64_18433` `associate-/l*_binary64_18437` `pow-prod-down_binary64_18563`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `flip--_binary64_18467` `flip3--_binary64_18496` `cbrt-undiv_binary64_18526`
1×	`diff-log_binary64_18584` `frac-2neg_binary64_18503` `sub-neg_binary64_18485` `-commutative_binary64_18423` `clear-num_binary64_18491` `cancel-sign-sub-inv_binary64_18458` `div-inv_binary64_18489` `associate-r_binary64_18432` `div-sub_binary64_18497` `associate-/r_binary64_18436`

Counts

3 → 54

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))
9.0ms	(.f64 z (.f64 9 t))
8.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))

series1.2s (6.7%)

Counts

3 → 57

Calls

3 calls:

762.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2))
361.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 9 t)))
97.0ms	(.f64 z (.f64 9 t))

Compiler

Compiled 1090 to 1114 computations (-2.2% saved)

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4974	1629
1	4974	1629

prune166.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	111	12	123

Error

4.7b

Counts

123 → 12

Compiler

Compiled 1862 to 1077 computations (42.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(.f64 (.f64 z 9) t)
0.8b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
7.3b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))

rewrite146.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_18498`
232×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
57×	`associate-/r*_binary64_18436`
35×	`add-exp-log_binary64_18530`
23×	`add-cbrt-cube_binary64_18528`
22×	`div-inv_binary64_18489`
18×	`div-exp_binary64_18543`
10×	`pow1_binary64_18553`
9×	`cbrt-undiv_binary64_18526`
6×	`associate-/l*_binary64_18437` `associate-/r/_binary64_18438` `add-log-exp_binary64_18531`
3×	`rec-exp_binary64_18542` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-r_binary64_18432` `pow-prod-down_binary64_18563` `1-exp_binary64_18536`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`pow-flip_binary64_18566` `diff-log_binary64_18584` `flip--_binary64_18467` `associate-l_binary64_18433` `sub-neg_binary64_18485` `*-commutative_binary64_18423` `flip3--_binary64_18496` `inv-pow_binary64_18577` `cancel-sign-sub-inv_binary64_18458`

Counts

4 → 304

Calls

4 calls:

28.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
14.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
10.0ms	(.f64 (.f64 z 9) t)
8.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

series1.8s (9.7%)

Counts

4 → 84

Calls

4 calls:

741.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
584.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
346.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
101.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 2236 to 2152 computations (3.8% saved)

simplify350.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4970	12282
1	4970	12282

prune1.0s (5.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	3	6	9
Picked	0	1	1
Done	1	1	2
Total	389	11	400

Error

4.7b

Counts

400 → 11

Compiler

Compiled 9918 to 5789 computations (41.6% saved)

regimes2.2s (11.8%)

Accuracy

Total 0.7b remaining (16.6%)

Threshold costs 0.7b (16.6%)

Compiler

Compiled 10379 to 9221 computations (11.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 5 to 8 computations (-60% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	114	67
1	114	67

Compiler

Compiled 180 to 136 computations (24.4% saved)

end0.0ms (0%)

sample4.4s (24.3%)

Algorithm

1×

intervals

Results

701.0ms	8000×	body	128	valid
630.0ms	3245×	body	128	invalid

Compiler

Compiled 850 to 744 computations (12.5% saved)

Details

analyze2.5s (13.4%)

sample95.0ms (0.5%)

simplify852.0ms (4.7%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite41.0ms (0.2%)

series1.3s (7%)

simplify110.0ms (0.6%)

prune202.0ms (1.1%)

localize29.0ms (0.2%)

rewrite58.0ms (0.3%)

series1.3s (6.8%)

simplify134.0ms (0.7%)

prune268.0ms (1.5%)

localize20.0ms (0.1%)

rewrite38.0ms (0.2%)

series1.2s (6.7%)

simplify105.0ms (0.6%)

prune166.0ms (0.9%)

localize22.0ms (0.1%)

rewrite146.0ms (0.8%)

series1.8s (9.7%)

simplify350.0ms (1.9%)

prune1.0s (5.5%)

regimes2.2s (11.8%)

bsearch3.0ms (0%)

simplify59.0ms (0.3%)

end0.0ms (0%)

sample4.4s (24.3%)

Profiling