Details

analyze45.0ms (0.8%)

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 (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify226.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (0%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

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)

rewrite118.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_441`
17×	`*-un-lft-identity_binary64_419`
12×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
11×	`add-cube-cbrt_binary64_454`
10×	`associate-l_binary64_360`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480`
6×	`cancel-sign-sub-inv_binary64_385`
4×	`difference-of-squares_binary64_388` `associate-*r/_binary64_361` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `associate-l/_binary64_362` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366` `sub-neg_binary64_412`
1×	`difference-of-sqr-1_binary64_389` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364`

Counts

3 → 78

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1467 to 952 computations (35.1% saved)

series337.0ms (5.7%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

176.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
98.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
40.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 793 to 594 computations (25.1% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5040	1287

prune92.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Error

0.0b

Counts

109 → 9

Compiler

Compiled 1724 to 805 computations (53.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite257.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

171×	`times-frac_binary64_425`
152×	`add-sqr-sqrt_binary64_441`
134×	`*-un-lft-identity_binary64_419`
81×	`add-cube-cbrt_binary64_454`
38×	`difference-of-squares_binary64_388`
30×	`associate-/r*_binary64_363`
17×	`distribute-lft-out--_binary64_371`
13×	`associate-l_binary64_360`
12×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
11×	`associate-/r/_binary64_365`
6×	`flip3--_binary64_423` `flip--_binary64_394` `div-inv_binary64_416` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`add-log-exp_binary64_458` `difference-of-sqr-1_binary64_389` `associate-r_binary64_359`
2×	`associate-*l/_binary64_362` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

3 → 185

Calls

3 calls:

32.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
12.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
5.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 4076 to 2474 computations (39.3% saved)

series363.0ms (6.1%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

168.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
94.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
76.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1159 to 825 computations (28.8% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5062	4097

prune197.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	224	9	233

Error

0.0b

Counts

233 → 9

Compiler

Compiled 4309 to 2218 computations (48.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.1b	(/.f64 v (-.f64 m (*.f64 m m)))
0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite270.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

156×	`times-frac_binary64_425`
125×	`add-sqr-sqrt_binary64_441`
105×	`*-un-lft-identity_binary64_419`
74×	`add-cube-cbrt_binary64_454`
27×	`difference-of-squares_binary64_388`
26×	`associate-/r*_binary64_363`
20×	`associate-l_binary64_360`
19×	`add-exp-log_binary64_457`
17×	`distribute-rgt-out--_binary64_373`
13×	`add-cbrt-cube_binary64_455`
11×	`associate-/r/_binary64_365`
8×	`div-exp_binary64_470`
7×	`pow1_binary64_480` `div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394`
6×	`add-log-exp_binary64_458` `associate-/l*_binary64_364`
5×	`difference-of-sqr-1_binary64_389`
4×	`cbrt-undiv_binary64_453`
3×	`associate-r_binary64_359`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-*l/_binary64_362` `distribute-lft-out--_binary64_371`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 196

Calls

4 calls:

35.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
5.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 4737 to 1951 computations (58.8% saved)

series450.0ms (7.6%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

178.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
104.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
94.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
42.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1392 to 1051 computations (24.5% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4984	4380
1	4984	4380

prune203.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	239	2	241
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	240	10	250

Error

0.0b

Counts

250 → 10

Compiler

Compiled 4847 to 1827 computations (62.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite115.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64_441`
33×	`*-un-lft-identity_binary64_419`
31×	`times-frac_binary64_425`
25×	`add-cube-cbrt_binary64_454`
19×	`associate-r_binary64_359`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373`
6×	`pow1_binary64_480`
5×	`associate-/l*_binary64_364`
4×	`cancel-sign-sub-inv_binary64_385`
3×	`associate-l_binary64_360` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366` `diff-log_binary64_511` `sub-neg_binary64_412`
1×	`pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418`

Counts

4 → 104

Calls

4 calls:

9.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
7.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
5.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2042 to 478 computations (76.6% saved)

series454.0ms (7.7%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

183.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
117.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
92.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
37.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1065 to 755 computations (29.1% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5011	2058

prune92.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	145	8	153

Error

Counts

153 → 8

Compiler

Compiled 2207 to 471 computations (78.7% saved)

regimes410.0ms (6.9%)

Accuracy

Total 0.2b remaining (99.1%)

Threshold costs 0.2b (99.1%)

Compiler

Compiled 4769 to 3267 computations (31.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample1.9s (32.6%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
164.0ms	8061×	pre	128	true
2.0ms	61×	body	128	invalid

Compiler

Compiled 1569 to 1074 computations (31.5% saved)

Details

analyze45.0ms (0.8%)

sample24.0ms (0.4%)

simplify226.0ms (3.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite118.0ms (2%)

series337.0ms (5.7%)

simplify54.0ms (0.9%)

prune92.0ms (1.5%)

localize7.0ms (0.1%)

rewrite257.0ms (4.3%)

series363.0ms (6.1%)

simplify89.0ms (1.5%)

prune197.0ms (3.3%)

localize8.0ms (0.1%)

rewrite270.0ms (4.6%)

series450.0ms (7.6%)

simplify91.0ms (1.5%)

prune203.0ms (3.4%)

localize7.0ms (0.1%)

rewrite115.0ms (1.9%)

series454.0ms (7.7%)

simplify76.0ms (1.3%)

prune92.0ms (1.6%)

regimes410.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (32.6%)

Profiling