Details

analyze702.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4946	38
1	4946	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	256×	pre	128	true
17.0ms	256×	body	128	valid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify180.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite84.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 82

Calls

3 calls:

37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
14.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series744.0ms (8.3%)

Counts

3 → 42

Calls

3 calls:

283.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
256.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
205.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 777 to 639 computations (17.8% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5081	2296

prune274.0ms (3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	5	125

Error

Counts

125 → 5

Compiler

Compiled 2350 to 1571 computations (33.1% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
0.2b	(*.f64 m (/.f64 m v))
10.8b	(/.f64 (pow.f64 m 3) v)

rewrite96.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
18×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-r_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `sum-log_binary64`
4×	`diff-log_binary64` `sqr-pow_binary64` `div-exp_binary64` `frac-sub_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 135

Calls

4 calls:

26.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
15.0ms	(/.f64 (pow.f64 m 3) v)
15.0ms	(*.f64 m (/.f64 m v))
12.0ms	(+.f64 m (/.f64 m v))

series809.0ms (9%)

Counts

4 → 35

Calls

4 calls:

372.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v)))))
179.0ms	(/.f64 (pow.f64 m 3) v)
140.0ms	(*.f64 m (/.f64 m v))
118.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1169 to 864 computations (26.1% saved)

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5438	2576

prune330.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	170	5	175

Error

Counts

175 → 5

Compiler

Compiled 4503 to 2017 computations (55.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
0.0b	(/.f64 v (-.f64 1 m))
0.0b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
0.1b	(/.f64 m (/.f64 v (-.f64 1 m)))

rewrite236.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`add-sqr-sqrt_binary64` `times-frac_binary64`
146×	`*-un-lft-identity_binary64`
85×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
19×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
9×	`cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`sub-neg_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 226

Calls

4 calls:

85.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
70.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
21.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
12.0ms	(/.f64 v (-.f64 1 m))

series875.0ms (9.7%)

Counts

4 → 57

Calls

4 calls:

274.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
255.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
197.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
149.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1091 to 885 computations (18.9% saved)

simplify202.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4968	5653
1	4968	5653

prune592.0ms (6.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	283	5	288

Error

Counts

288 → 5

Compiler

Compiled 5916 to 3654 computations (38.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))
0.1b	(cbrt.f64 (-.f64 1 m))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
7.0ms	(cbrt.f64 (-.f64 1 m))
7.0ms	(cbrt.f64 (-.f64 1 m))
7.0ms	(cbrt.f64 (-.f64 1 m))

series350.0ms (3.9%)

Counts

4 → 30

Calls

4 calls:

140.0ms	(*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))
76.0ms	(cbrt.f64 (-.f64 1 m))
68.0ms	(cbrt.f64 (-.f64 1 m))
66.0ms	(cbrt.f64 (-.f64 1 m))

Compiler

Compiled 1109 to 948 computations (14.5% saved)

simplify182.0ms (2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4977	1869
1	4977	1869

prune386.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Error

Counts

142 → 5

Compiler

Compiled 3914 to 2938 computations (24.9% saved)

regimes296.0ms (3.3%)

Accuracy

Total 0.1b remaining (96.6%)

Threshold costs 0.1b (96.6%)

Compiler

Compiled 1596 to 1284 computations (19.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms (0%)

sample2.2s (24.8%)

Algorithm

1×

intervals

Results

563.0ms	8000×	body	128	valid
320.0ms	8050×	pre	128	true
4.0ms	50×	body	128	invalid

Compiler

Compiled 558 to 449 computations (19.5% saved)

Details

analyze702.0ms (7.8%)

sample57.0ms (0.6%)

simplify180.0ms (2%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

rewrite84.0ms (0.9%)

series744.0ms (8.3%)

simplify91.0ms (1%)

prune274.0ms (3%)

localize26.0ms (0.3%)

rewrite96.0ms (1.1%)

series809.0ms (9%)

simplify124.0ms (1.4%)

prune330.0ms (3.7%)

localize15.0ms (0.2%)

rewrite236.0ms (2.6%)

series875.0ms (9.7%)

simplify202.0ms (2.2%)

prune592.0ms (6.6%)

localize23.0ms (0.3%)

rewrite71.0ms (0.8%)

series350.0ms (3.9%)

simplify182.0ms (2%)

prune386.0ms (4.3%)

regimes296.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (24.8%)

Profiling