Details

analyze671.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample365.0ms (2.1%)

Algorithm

1×

intervals

Results

277.0ms	140×	body	8192	exit
40.0ms	103×	body	1024	nan
18.0ms	256×	body	128	valid
10.0ms	47×	body	512	nan
3.0ms	28×	body	256	nan
1.0ms	11×	body	128	nan
0.0ms	3×	body	128	overflowed
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify258.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5961	11

prune5.0ms (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: 0.2b

Counts

2 → 2

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.2b	(pow.f64 l (exp.f64 w))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_789`
7×	`associate-r_binary64_707` `unpow-prod-down_binary64_846` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
5×	`add-exp-log_binary64_805`
4×	`add-cbrt-cube_binary64_803`
3×	`associate-l_binary64_708` `unswap-sqr_binary64_735` `sqr-pow_binary64_739` `prod-exp_binary64_816` `pow1_binary64_828` `pow-unpow_binary64_844`
2×	`pow-to-exp_binary64_836` `pow-exp_binary64_835` `add-log-exp_binary64_806` `associate-*l/_binary64_710`
1×	`cbrt-unprod_binary64_800` `exp-diff_binary64_815` `neg-sub0_binary64_762` `*-commutative_binary64_698` `exp-neg_binary64_814` `pow-pow_binary64_839`

Counts

2 → 44

Calls

2 calls:

9.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
3.0ms	(pow.f64 l (exp.f64 w))

series288.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

172.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
116.0ms	(pow.f64 l (exp.f64 w))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4905	687
1	4905	687

prune124.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

Compiler

Compiled 2007 to 960 computations (52.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w))
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.4b	(*.f64 (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w)) (pow.f64 l (/.f64 (exp.f64 w) 2)))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_789`
69×	`times-frac_binary64_773`
52×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
37×	`unpow-prod-down_binary64_846`
26×	`pow-unpow_binary64_844`
25×	`associate-l_binary64_708` `add-exp-log_binary64_805`
17×	`sqr-pow_binary64_739`
12×	`unswap-sqr_binary64_735` `prod-exp_binary64_816` `div-exp_binary64_818`
11×	`add-cbrt-cube_binary64_803`
10×	`pow-to-exp_binary64_836` `pow-exp_binary64_835`
7×	`associate-r_binary64_707` `associate-/l*_binary64_712`
6×	`pow1_binary64_828`
4×	`add-log-exp_binary64_806` `div-inv_binary64_764`
3×	`associate-/r*_binary64_711`
2×	`cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `pow-pow_binary64_839`
1×	`frac-2neg_binary64_778` `-commutative_binary64_698` `associate-l/_binary64_710` `clear-num_binary64_766`

Counts

4 → 166

Calls

4 calls:

14.0ms	(*.f64 (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w)) (pow.f64 l (/.f64 (exp.f64 w) 2)))
6.0ms	(/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w))
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

series703.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

272.0ms	(*.f64 (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w)) (pow.f64 l (/.f64 (exp.f64 w) 2)))
189.0ms	(/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (exp.f64 w))
123.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
119.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4950	3721
1	4950	3721

prune231.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	177	6	183

Merged error: 0.0b

Counts

183 → 6

Compiler

Compiled 4872 to 2454 computations (49.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.4b	(.f64 (.f64 (/.f64 1 (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))

rewrite74.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

339×	`add-exp-log_binary64_805`
208×	`prod-exp_binary64_816`
111×	`div-exp_binary64_818`
52×	`pow-to-exp_binary64_836` `pow-exp_binary64_835`
38×	`add-sqr-sqrt_binary64_789`
30×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
26×	`pow-unpow_binary64_844` `add-cbrt-cube_binary64_803`
24×	`1-exp_binary64_811` `rec-exp_binary64_817`
18×	`times-frac_binary64_773`
16×	`cbrt-unprod_binary64_800` `cbrt-prod_binary64_798`
13×	`associate-r_binary64_707` `pow1_binary64_828`
9×	`unpow-prod-down_binary64_846`
7×	`associate-l_binary64_708` `cbrt-undiv_binary64_801`
6×	`pow1/3_binary64_849` `swap-sqr_binary64_734`
4×	`unswap-sqr_binary64_735` `add-log-exp_binary64_806` `associate-*l/_binary64_710`
3×	`sqr-pow_binary64_739`
2×	`pow-prod-up_binary64_837` `*-commutative_binary64_698` `pow-prod-down_binary64_838` `pow-sqr_binary64_740` `div-inv_binary64_764` `pow-pow_binary64_839`
1×	`pow2_binary64_848` `frac-times_binary64_777` `pow-plus_binary64_830` `associate-*r/_binary64_709`

Counts

4 → 207

Calls

4 calls:

23.0ms	(.f64 (.f64 (/.f64 1 (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))
7.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

series648.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(.f64 (.f64 (/.f64 1 (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))
132.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
123.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
113.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4909	2793
1	4909	2793

prune232.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	220	5	225

Merged error: 0.0b

Counts

225 → 5

Compiler

Compiled 5249 to 2205 computations (58% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5)
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.2b	(pow.f64 l (/.f64 (exp.f64 w) 2))
0.4b	(.f64 (.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 w))))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))

rewrite284.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

626×	`add-exp-log_binary64_805`
423×	`prod-exp_binary64_816`
213×	`div-exp_binary64_818`
131×	`pow-to-exp_binary64_836` `pow-exp_binary64_835`
48×	`1-exp_binary64_811` `rec-exp_binary64_817`
29×	`pow-unpow_binary64_844`
28×	`add-cbrt-cube_binary64_803`
26×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
18×	`unpow-prod-down_binary64_846` `times-frac_binary64_773`
15×	`cbrt-unprod_binary64_800`
9×	`cbrt-prod_binary64_798`
7×	`associate-r_binary64_707` `cbrt-undiv_binary64_801` `pow1_binary64_828`
4×	`sqr-pow_binary64_739` `add-log-exp_binary64_806` `associate-*l/_binary64_710` `pow-pow_binary64_839`
2×	`div-inv_binary64_764`
1×	`associate-l_binary64_708` `frac-times_binary64_777` `pow1/3_binary64_849` `-commutative_binary64_698` `associate-r/_binary64_709`

Counts

4 → 263

Calls

4 calls:

28.0ms	(.f64 (.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 w))))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5)
4.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

series688.0ms (4%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(.f64 (.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5) (cbrt.f64 (cbrt.f64 (exp.f64 w))))) (/.f64 (pow.f64 l (/.f64 (exp.f64 w) 2)) (cbrt.f64 (exp.f64 w)))) (pow.f64 l (/.f64 (exp.f64 w) 2)))
189.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 5)
118.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))
112.0ms	(pow.f64 l (/.f64 (exp.f64 w) 2))

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5527	6407

prune372.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	275	5	280

Merged error: 0.0b

Counts

280 → 5

Compiler

Compiled 7929 to 3449 computations (56.5% saved)

regimes48.0ms (0.3%)

Compiler: Compiled 404 to 274 computations (32.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample11.7s (68%)

Algorithm

1×

intervals

Results

8.9s	4579×	body	8192	exit
1.1s	3157×	body	1024	nan
563.0ms	8000×	body	128	valid
323.0ms	1612×	body	512	nan
96.0ms	797×	body	256	nan
18.0ms	345×	body	128	nan
11.0ms	3×	body	8192	nan
10.0ms	123×	body	128	overflowed
8.0ms	110×	body	128	invalid
2.0ms	4×	body	2048	nan

Compiler

Compiled 145 to 101 computations (30.3% saved)

Details

analyze671.0ms (3.9%)

sample365.0ms (2.1%)

simplify258.0ms (1.5%)

prune5.0ms (0%)

localize7.0ms (0%)

rewrite15.0ms (0.1%)

series288.0ms (1.7%)

simplify86.0ms (0.5%)

prune124.0ms (0.7%)

localize11.0ms (0.1%)

rewrite46.0ms (0.3%)

series703.0ms (4.1%)

simplify99.0ms (0.6%)

prune231.0ms (1.3%)

localize16.0ms (0.1%)

rewrite74.0ms (0.4%)

series648.0ms (3.8%)

simplify106.0ms (0.6%)

prune232.0ms (1.3%)

localize18.0ms (0.1%)

rewrite284.0ms (1.6%)

series688.0ms (4%)

simplify103.0ms (0.6%)

prune372.0ms (2.2%)

regimes48.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.7s (68%)

Profiling