Details

analyze556.0ms (17.9%)

Algorithm

1×

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	68×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune5.0ms (0.2%)

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: 12.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.2b

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series9.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5104	280

prune35.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

Compiler

Compiled 316 to 109 computations (65.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(*.f64 a2 (/.f64 a1 b1))
5.9b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `times-frac_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series14.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
5.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify98.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5088	668

prune47.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

Compiler

Compiled 753 to 233 computations (69.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.5b	(/.f64 (/.f64 a1 b1) b2)
6.0b	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`times-frac_binary64`
89×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
9×	`div-inv_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 135

Calls

2 calls:

14.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
6.0ms	(/.f64 (/.f64 a1 b1) b2)

series14.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
5.0ms	(/.f64 (/.f64 a1 b1) b2)

simplify114.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4997	2193
1	4997	2193

prune76.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Merged error: 0.0b

Counts

149 → 7

Compiler

Compiled 2165 to 478 computations (77.9% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b1)
0.6b	(cbrt.f64 b1)
0.6b	(/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
3.0b	(.f64 a2 (/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`add-exp-log_binary64`
46×	`add-cbrt-cube_binary64`
37×	`cbrt-unprod_binary64` `prod-exp_binary64`
36×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
6×	`pow1_binary64` `cbrt-prod_binary64`
5×	`associate-/l*_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

17.0ms	(.f64 a2 (/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
16.0ms	(/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
1.0ms	(cbrt.f64 b1)
1.0ms	(cbrt.f64 b1)

series129.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 a2 (/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
44.0ms	(/.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
14.0ms	(cbrt.f64 b1)
14.0ms	(cbrt.f64 b1)

simplify127.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5216	2327

prune65.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Merged error: 0.0b

Counts

130 → 7

Compiler

Compiled 3568 to 672 computations (81.2% saved)

regimes234.0ms (7.5%)

Compiler: Compiled 364 to 332 computations (8.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	46
1	19	46

end0.0ms (0%)

sample1.3s (42.9%)

Algorithm

1×

intervals

Results

420.0ms	8000×	body	80	valid
50.0ms	1840×	body	80	invalid

Compiler

Compiled 113 to 93 computations (17.7% saved)

Details

analyze556.0ms (17.9%)

sample22.0ms (0.7%)

simplify13.0ms (0.4%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite7.0ms (0.2%)

series9.0ms (0.3%)

simplify90.0ms (2.9%)

prune35.0ms (1.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series14.0ms (0.4%)

simplify98.0ms (3.1%)

prune47.0ms (1.5%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series14.0ms (0.4%)

simplify114.0ms (3.7%)

prune76.0ms (2.5%)

localize18.0ms (0.6%)

rewrite40.0ms (1.3%)

series129.0ms (4.1%)

simplify127.0ms (4.1%)

prune65.0ms (2.1%)

regimes234.0ms (7.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (42.9%)

Profiling