Details

analyze942.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	70
1	228	70
0	4	4
1	4	4

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

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

10.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.0b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
4×	`prod-exp_binary64_6265` `div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `cbrt-unprod_binary64_6249`
1×	`pow1_binary64_6277` `add-log-exp_binary64_6255` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `frac-2neg_binary64_6227` `times-frac_binary64_6222` `-un-lft-identity_binary64_6216` `clear-num_binary64_6215` `div-inv_binary64_6213` `associate-/l_binary64_6161` `associate-/r*_binary64_6160`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series194.0ms (2.4%)

Error

10.2b

Counts

1 → 12

Calls

1 calls:

189.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5076	370

prune27.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Error

0.1b

Counts

34 → 7

Compiler

Compiled 362 to 100 computations (72.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(/.f64 1 (*.f64 b1 b2))
9.6b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-exp-log_binary64_6254`
30×	`prod-exp_binary64_6265`
28×	`add-cbrt-cube_binary64_6252`
12×	`div-exp_binary64_6267` `cbrt-unprod_binary64_6249`
10×	`pow1_binary64_6277`
7×	`associate-r_binary64_6156`
6×	`1-exp_binary64_6260` `rec-exp_binary64_6266` `add-cube-cbrt_binary64_6251` `cbrt-undiv_binary64_6250` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216` `times-frac_binary64_6222`
4×	`pow-prod-down_binary64_6287`
3×	`associate-/l*_binary64_6161`
2×	`add-log-exp_binary64_6255` `div-inv_binary64_6213` `pow-flip_binary64_6290`
1×	`un-div-inv_binary64_6214` `associate-r/_binary64_6158` `associate-l_binary64_6157` `-commutative_binary64_6147` `inv-pow_binary64_6301` `frac-2neg_binary64_6227` `clear-num_binary64_6215` `associate-/r*_binary64_6160`

Counts

2 → 68

Calls

2 calls:

9.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
4.0ms	(/.f64 1 (*.f64 b1 b2))

Compiler

Compiled 1018 to 432 computations (57.6% saved)

series254.0ms (3.2%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

195.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
51.0ms	(/.f64 1 (*.f64 b1 b2))

Compiler

Compiled 414 to 301 computations (27.3% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4991	834
1	4991	834

prune55.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Error

0.0b

Counts

93 → 9

Compiler

Compiled 973 to 312 computations (67.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.0b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
11.0b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
11.0b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
11.0b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
15×	`cbrt-prod_binary64_6247`
7×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216`
4×	`pow1_binary64_6277` `add-log-exp_binary64_6255` `times-frac_binary64_6222` `div-inv_binary64_6213` `prod-exp_binary64_6265` `div-exp_binary64_6267` `cbrt-undiv_binary64_6250` `cbrt-unprod_binary64_6249`
3×	`pow1/3_binary64_6298` `cbrt-div_binary64_6248`
1×	`frac-2neg_binary64_6227` `clear-num_binary64_6215` `associate-/l_binary64_6161` `associate-/r_binary64_6160`

Counts

4 → 63

Calls

4 calls:

5.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
4.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
4.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
4.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))

Compiler

Compiled 2079 to 246 computations (88.2% saved)

series1.9s (23.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

546.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
544.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
536.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))
188.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 4428 to 1958 computations (55.8% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5000	1648

prune93.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	110	10	120

Error

0.0b

Counts

120 → 10

Compiler

Compiled 3391 to 416 computations (87.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (/.f64 1 (.f64 b1 b2))) (cbrt.f64 (/.f64 1 (*.f64 b1 b2)))))
11.1b	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
11.1b	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
11.1b	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))

rewrite123.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`cbrt-prod_binary64_6247`
16×	`pow1_binary64_6277` `add-exp-log_binary64_6254`
12×	`add-cbrt-cube_binary64_6252`
10×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216`
9×	`times-frac_binary64_6222`
8×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
7×	`cbrt-div_binary64_6248`
4×	`add-log-exp_binary64_6255` `associate-*r/_binary64_6158`
3×	`pow1/3_binary64_6298` `div-inv_binary64_6213`
1×	`frac-times_binary64_6226` `associate-l/_binary64_6159` `associate-l_binary64_6157` `associate-r_binary64_6156` `-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

15.0ms	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (/.f64 1 (.f64 b1 b2))) (cbrt.f64 (/.f64 1 (*.f64 b1 b2)))))
4.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
4.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
3.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))

Compiler

Compiled 2266 to 1232 computations (45.6% saved)

series1.4s (17.3%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

735.0ms	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (/.f64 1 (.f64 b1 b2))) (cbrt.f64 (/.f64 1 (*.f64 b1 b2)))))
207.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
204.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))
201.0ms	(cbrt.f64 (/.f64 1 (*.f64 b1 b2)))

Compiler

Compiled 2538 to 2022 computations (20.3% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4993	1354
1	4993	1354

prune115.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	103	10	113

Error

0.0b

Counts

113 → 10

Compiler

Compiled 2572 to 1375 computations (46.5% saved)

regimes797.0ms (10%)

Accuracy

Total 2.6b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 4468 to 3194 computations (28.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	95
1	43	95

Compiler

Compiled 256 to 112 computations (56.3% saved)

end0.0ms (0%)

sample1.5s (19.1%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	128	valid
54.0ms	1784×	body	128	invalid

Compiler

Compiled 584 to 410 computations (29.8% saved)

Details

analyze942.0ms (11.8%)

sample34.0ms (0.4%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite33.0ms (0.4%)

series194.0ms (2.4%)

simplify77.0ms (1%)

prune27.0ms (0.3%)

localize6.0ms (0.1%)

rewrite72.0ms (0.9%)

series254.0ms (3.2%)

simplify72.0ms (0.9%)

prune55.0ms (0.7%)

localize9.0ms (0.1%)

rewrite75.0ms (0.9%)

series1.9s (23.3%)

simplify58.0ms (0.7%)

prune93.0ms (1.2%)

localize10.0ms (0.1%)

rewrite123.0ms (1.5%)

series1.4s (17.3%)

simplify111.0ms (1.4%)

prune115.0ms (1.4%)

regimes797.0ms (10%)

bsearch2.0ms (0%)

simplify41.0ms (0.5%)

end0.0ms (0%)

sample1.5s (19.1%)

Profiling