Details

analyze871.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample110.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms	432×	body	128	nan
22.0ms	256×	body	128	valid
18.0ms	216×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	24

prune8.0ms (0%)

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: 0.1b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
0.5b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
0.6b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_15104`
21×	`*-un-lft-identity_binary64_15082`
16×	`add-cube-cbrt_binary64_15117`
13×	`add-cbrt-cube_binary64_15118`
12×	`log-prod_binary64_15168` `add-exp-log_binary64_15120`
10×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-l_binary64_15023`
8×	`associate-r_binary64_15022`
6×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031`
5×	`exp-sum_binary64_15128` `exp-prod_binary64_15134`
3×	`times-frac_binary64_15088` `prod-exp_binary64_15131` `cancel-sign-sub-inv_binary64_15048` `difference-of-squares_binary64_15051` `cbrt-unprod_binary64_15115` `associate-/r*_binary64_15026` `rem-exp-log_binary64_15122`
2×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `unswap-sqr_binary64_15050` `distribute-lft-out--_binary64_15034` `cbrt-undiv_binary64_15116` `log-pow_binary64_15171` `-commutative_binary64_15013` `exp-diff_binary64_15130` `diff-log_binary64_15174` `associate-l/_binary64_15025`
1×	`associate--l+_binary64_15019` `difference-of-sqr-1_binary64_15052` `associate-/l/_binary64_15029` `sum-log_binary64_15173` `frac-2neg_binary64_15093` `flip3--_binary64_15086` `clear-num_binary64_15081` `sub-neg_binary64_15075` `div-inv_binary64_15079` `flip--_binary64_15057` `associate-/l_binary64_15027` `associate-r/_binary64_15024`

Counts

4 → 99

Calls

4 calls:

12.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))

series1.8s (10.1%)

Counts

4 → 60

Calls

4 calls:

992.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
514.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
161.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
121.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 2426 to 1833 computations (24.4% saved)

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5261	3005

prune319.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Merged error: 0.0b

Counts

161 → 6

Compiler

Compiled 3558 to 1669 computations (53.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (exp.f64 b))
0.0b	(/.f64 y (*.f64 (pow.f64 z y) (pow.f64 a t)))
0.1b	(/.f64 x (.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))
0.7b	(.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))

rewrite58.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`add-exp-log_binary64_15120`
112×	`prod-exp_binary64_15131`
73×	`div-exp_binary64_15133`
61×	`add-cbrt-cube_binary64_15118`
30×	`pow-to-exp_binary64_15151` `pow-exp_binary64_15150`
24×	`cbrt-unprod_binary64_15115`
17×	`cbrt-undiv_binary64_15116`
14×	`add-sqr-sqrt_binary64_15104`
12×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
11×	`pow1_binary64_15143`
10×	`associate-l_binary64_15023`
9×	`times-frac_binary64_15088`
6×	`associate-/l*_binary64_15027`
4×	`pow-prod-down_binary64_15153` `add-log-exp_binary64_15121` `associate-r_binary64_15022`
3×	`div-inv_binary64_15079`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `-commutative_binary64_15013` `associate-/r_binary64_15026` `associate-*l/_binary64_15025`
1×	`unswap-sqr_binary64_15050` `associate-/r/_binary64_15028`

Counts

4 → 142

Calls

4 calls:

14.0ms	(/.f64 x (.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))
13.0ms	(.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))
6.0ms	(/.f64 y (*.f64 (pow.f64 z y) (pow.f64 a t)))
5.0ms	(*.f64 a (exp.f64 b))

series3.3s (18.7%)

Counts

4 → 75

Calls

4 calls:

1.4s	(/.f64 x (.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))
1.2s	(.f64 (/.f64 y (.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))
716.0ms	(/.f64 y (*.f64 (pow.f64 z y) (pow.f64 a t)))
75.0ms	(*.f64 a (exp.f64 b))

Compiler

Compiled 2932 to 2317 computations (21% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5031	5340

prune162.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	218	5	223

Merged error: 0b

Counts

223 → 5

Compiler

Compiled 4743 to 945 computations (80.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 a (-.f64 t 1))
0.3b	(*.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
0.5b	(/.f64 y (.f64 (.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) x))
0.5b	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))

rewrite73.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64_15104`
78×	`times-frac_binary64_15088`
70×	`add-exp-log_binary64_15120`
59×	`*-un-lft-identity_binary64_15082`
56×	`add-cube-cbrt_binary64_15117`
37×	`prod-exp_binary64_15131` `associate-r_binary64_15022`
35×	`div-exp_binary64_15133`
34×	`unpow-prod-down_binary64_15161`
32×	`unpow-prod-up_binary64_15160`
25×	`add-cbrt-cube_binary64_15118`
24×	`cancel-sign-sub-inv_binary64_15048`
16×	`sqr-pow_binary64_15054` `pow-to-exp_binary64_15151` `pow-exp_binary64_15150`
14×	`associate-/l*_binary64_15027`
12×	`unswap-sqr_binary64_15050`
8×	`sub-neg_binary64_15075`
7×	`cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `pow-unpow_binary64_15159` `associate-l_binary64_15023`
5×	`pow1_binary64_15143`
4×	`add-log-exp_binary64_15121` `associate-/r*_binary64_15026`
3×	`div-inv_binary64_15079`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `difference-of-squares_binary64_15051` `pow-sub_binary64_15158` `associate-*r/_binary64_15024`
1×	`difference-of-sqr-1_binary64_15052` `associate-/l/_binary64_15029` `pow-pow_binary64_15154` `distribute-lft-out--_binary64_15034` `-commutative_binary64_15013` `associate-l/_binary64_15025` `associate-/r/_binary64_15028`

Counts

4 → 203

Calls

4 calls:

19.0ms	(*.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
14.0ms	(/.f64 y (.f64 (.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) x))
7.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
5.0ms	(pow.f64 a (-.f64 t 1))

series2.7s (15.4%)

Counts

4 → 66

Calls

4 calls:

1.5s	(/.f64 y (.f64 (.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) x))
863.0ms	(*.f64 (pow.f64 z y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
284.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
108.0ms	(pow.f64 a (-.f64 t 1))

Compiler

Compiled 2845 to 2460 computations (13.5% saved)

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4956	6421
1	4956	6421

prune329.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	269	5	274

Merged error: 0b

Counts

274 → 5

Compiler

Compiled 6927 to 3474 computations (49.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
0.1b	(pow.f64 a (-.f64 t 1))
0.7b	(/.f64 (pow.f64 z y) (exp.f64 b))
5.2b	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))

rewrite70.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64_15120`
77×	`add-sqr-sqrt_binary64_15104`
62×	`prod-exp_binary64_15131`
60×	`times-frac_binary64_15088`
50×	`*-un-lft-identity_binary64_15082`
47×	`add-cube-cbrt_binary64_15117`
43×	`div-exp_binary64_15133`
38×	`associate-r_binary64_15022`
34×	`unpow-prod-down_binary64_15161`
32×	`add-cbrt-cube_binary64_15118`
23×	`pow-to-exp_binary64_15151` `pow-exp_binary64_15150`
16×	`sqr-pow_binary64_15054`
12×	`unswap-sqr_binary64_15050` `cbrt-unprod_binary64_15115` `associate-l_binary64_15023`
8×	`unpow-prod-up_binary64_15160`
7×	`cbrt-undiv_binary64_15116` `pow1_binary64_15143` `pow-sub_binary64_15158` `pow-unpow_binary64_15159` `associate-/l*_binary64_15027`
6×	`frac-times_binary64_15092` `cancel-sign-sub-inv_binary64_15048` `associate-*l/_binary64_15025`
4×	`add-log-exp_binary64_15121` `associate-*r/_binary64_15024`
3×	`div-inv_binary64_15079` `associate-/r*_binary64_15026`
2×	`difference-of-squares_binary64_15051` `sub-neg_binary64_15075` `*-commutative_binary64_15013`
1×	`pow-prod-down_binary64_15153` `difference-of-sqr-1_binary64_15052` `pow-pow_binary64_15154` `frac-2neg_binary64_15093` `distribute-lft-out--_binary64_15034` `clear-num_binary64_15081`

Counts

4 → 206

Calls

4 calls:

19.0ms	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
17.0ms	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
6.0ms	(/.f64 (pow.f64 z y) (exp.f64 b))
5.0ms	(pow.f64 a (-.f64 t 1))

series2.6s (14.6%)

Counts

4 → 66

Calls

4 calls:

1.4s	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
851.0ms	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
280.0ms	(/.f64 (pow.f64 z y) (exp.f64 b))
113.0ms	(pow.f64 a (-.f64 t 1))

Compiler

Compiled 2567 to 2224 computations (13.4% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5014	6227

prune257.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	272	5	277

Merged error: 0b

Counts

277 → 5

Compiler

Compiled 6105 to 2315 computations (62.1% saved)

regimes490.0ms (2.8%)

Compiler: Compiled 4639 to 4416 computations (4.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	28
1	44	28

end0.0ms (0%)

sample4.0s (22.3%)

Algorithm

1×

intervals

Results

1.1s	14547×	body	128	nan
694.0ms	8000×	body	128	valid
629.0ms	7320×	body	128	invalid

Compiler

Compiled 513 to 468 computations (8.8% saved)

Details

analyze871.0ms (4.9%)

sample110.0ms (0.6%)

simplify142.0ms (0.8%)

prune8.0ms (0%)

localize15.0ms (0.1%)

rewrite43.0ms (0.2%)

series1.8s (10.1%)

simplify61.0ms (0.3%)

prune319.0ms (1.8%)

localize12.0ms (0.1%)

rewrite58.0ms (0.3%)

series3.3s (18.7%)

simplify88.0ms (0.5%)

prune162.0ms (0.9%)

localize14.0ms (0.1%)

rewrite73.0ms (0.4%)

series2.7s (15.4%)

simplify100.0ms (0.6%)

prune329.0ms (1.9%)

localize12.0ms (0.1%)

rewrite70.0ms (0.4%)

series2.6s (14.6%)

simplify101.0ms (0.6%)

prune257.0ms (1.4%)

regimes490.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.0s (22.3%)

Profiling