Details

analyze253.0ms (5.8%)

Algorithm

1×

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 21 to 16 computations (23.8% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify230.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

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: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

series210.0ms (4.8%)

Counts

3 → 21

Calls

3 calls:

118.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
72.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
20.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 398 to 335 computations (15.8% saved)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5457	1187

prune102.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 1623 to 1032 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
24×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-l_binary64` `difference-of-squares_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

2 → 61

Calls

2 calls:

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

series175.0ms (4%)

Counts

2 → 17

Calls

2 calls:

101.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
74.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))

Compiler

Compiled 316 to 264 computations (16.5% saved)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5013	1073

prune73.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0b

Counts

87 → 9

Compiler

Compiled 1398 to 886 computations (36.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
0.2b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (-.f64 1 m) (sqrt.f64 v))
0.3b	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))

rewrite81.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64`
113×	`*-un-lft-identity_binary64`
74×	`add-cube-cbrt_binary64`
66×	`sqrt-prod_binary64`
43×	`associate-r_binary64`
26×	`difference-of-squares_binary64`
25×	`associate-l_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
10×	`unswap-sqr_binary64`
9×	`associate-/l*_binary64`
8×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-*l/_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `frac-times_binary64`

Counts

4 → 213

Calls

4 calls:

33.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
16.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
8.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

series310.0ms (7.1%)

Counts

4 → 30

Calls

4 calls:

113.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
73.0ms	(/.f64 m (sqrt.f64 v))
70.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
55.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))

Compiler

Compiled 865 to 704 computations (18.6% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5246	4064

prune239.0ms (5.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	243	9	252

Merged error: 0b

Counts

252 → 9

Compiler

Compiled 5189 to 2485 computations (52.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 1 m) (sqrt.f64 v))
0.3b	(/.f64 (sqrt.f64 v) m)
0.3b	(/.f64 1 (/.f64 (sqrt.f64 v) m))
0.3b	(*.f64 (/.f64 1 (/.f64 (sqrt.f64 v) m)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))

rewrite132.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64`
312×	`add-sqr-sqrt_binary64`
244×	`*-un-lft-identity_binary64`
196×	`add-cube-cbrt_binary64`
127×	`sqrt-prod_binary64`
71×	`associate-l_binary64`
64×	`add-exp-log_binary64`
40×	`associate-r_binary64`
34×	`add-cbrt-cube_binary64`
31×	`associate-/r*_binary64`
30×	`div-exp_binary64`
26×	`difference-of-squares_binary64`
21×	`unswap-sqr_binary64`
15×	`associate-/l*_binary64`
14×	`cbrt-undiv_binary64` `prod-exp_binary64`
13×	`distribute-lft-out--_binary64`
12×	`div-inv_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 378

Calls

4 calls:

62.0ms	(*.f64 (/.f64 1 (/.f64 (sqrt.f64 v) m)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
8.0ms	(/.f64 1 (/.f64 (sqrt.f64 v) m))
8.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
4.0ms	(/.f64 (sqrt.f64 v) m)

series250.0ms (5.7%)

Counts

4 → 26

Calls

4 calls:

73.0ms	(/.f64 1 (/.f64 (sqrt.f64 v) m))
64.0ms	(*.f64 (/.f64 1 (/.f64 (sqrt.f64 v) m)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
57.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
55.0ms	(/.f64 (sqrt.f64 v) m)

Compiler

Compiled 933 to 756 computations (19% saved)

simplify115.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5234	7197

prune489.0ms (11.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	404	0	404
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	404	9	413

Merged error: 0b

Counts

413 → 9

Compiler

Compiled 9541 to 4651 computations (51.3% saved)

regimes192.0ms (4.4%)

Compiler: Compiled 1973 to 1493 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms (0%)

sample1.2s (27.1%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
159.0ms	8061×	pre	128	true
2.0ms	61×	body	128	invalid

Compiler

Compiled 681 to 516 computations (24.2% saved)

Details

analyze253.0ms (5.8%)

sample24.0ms (0.5%)

simplify230.0ms (5.2%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite36.0ms (0.8%)

series210.0ms (4.8%)

simplify61.0ms (1.4%)

prune102.0ms (2.3%)

localize7.0ms (0.2%)

rewrite28.0ms (0.6%)

series175.0ms (4%)

simplify78.0ms (1.8%)

prune73.0ms (1.7%)

localize9.0ms (0.2%)

rewrite81.0ms (1.9%)

series310.0ms (7.1%)

simplify82.0ms (1.9%)

prune239.0ms (5.4%)

localize10.0ms (0.2%)

rewrite132.0ms (3%)

series250.0ms (5.7%)

simplify115.0ms (2.6%)

prune489.0ms (11.1%)

regimes192.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (27.1%)

Profiling