Details

analyze406.0ms (10.6%)

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)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
6.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

series116.0ms (3%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
32.0ms	(*.f64 m (-.f64 1 m))
26.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
16.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5061	2142

prune157.0ms (4.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0b

Counts

126 → 8

Compiler

Compiled 2570 to 1768 computations (31.2% saved)

localize7.0ms (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))
0.1b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))

rewrite110.0ms (2.9%)

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:

38.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
33.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series92.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 v (-.f64 1 m))
23.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
23.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
15.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify97.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5001	5059

prune271.0ms (7.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	238	8	246

Merged error: 0b

Counts

246 → 8

Compiler

Compiled 5390 to 3363 computations (37.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

16.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
10.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
10.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

series70.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
23.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
16.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4973	2078
1	4973	2078

prune107.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

Compiler

Compiled 2407 to 1453 computations (39.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite62.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64`
13×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `associate-*r/_binary64`
8×	`flip3--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
7×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`associate-/r_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 114

Calls

4 calls:

21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
13.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
8.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
6.0ms	(*.f64 v (+.f64 m 1))

series142.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
40.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
37.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
22.0ms	(*.f64 v (+.f64 m 1))

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4963	2509
1	4963	2509

prune153.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	126	8	134

Merged error: 0b

Counts

134 → 8

Compiler

Compiled 3248 to 2237 computations (31.1% saved)

regimes205.0ms (5.4%)

Compiler: Compiled 2475 to 1944 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.3s (34.7%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
161.0ms	8060×	pre	128	true
2.0ms	60×	body	128	invalid

Compiler

Compiled 851 to 669 computations (21.4% saved)

Details

analyze406.0ms (10.6%)

sample30.0ms (0.8%)

simplify95.0ms (2.5%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite51.0ms (1.3%)

series116.0ms (3%)

simplify73.0ms (1.9%)

prune157.0ms (4.1%)

localize7.0ms (0.2%)

rewrite110.0ms (2.9%)

series92.0ms (2.4%)

simplify97.0ms (2.5%)

prune271.0ms (7.1%)

localize7.0ms (0.2%)

rewrite44.0ms (1.2%)

series70.0ms (1.8%)

simplify69.0ms (1.8%)

prune107.0ms (2.8%)

localize12.0ms (0.3%)

rewrite62.0ms (1.6%)

series142.0ms (3.7%)

simplify94.0ms (2.5%)

prune153.0ms (4%)

regimes205.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34.7%)

Profiling