Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample76.0ms (1.9%)

Algorithm

1×

intervals

Results

45.0ms	131×	body	1024	valid
12.0ms	65×	body	512	valid
9.0ms	17×	body	2048	valid
3.0ms	30×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify379.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	12

prune2.0ms (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: 59.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.1b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_767`
52×	`add-sqr-sqrt_binary64_789`
48×	`times-frac_binary64_773`
30×	`log-prod_binary64_853`
25×	`add-cube-cbrt_binary64_802`
18×	`difference-of-squares_binary64_736`
13×	`distribute-lft-out_binary64_718`
9×	`distribute-lft-out--_binary64_719`
7×	`add-exp-log_binary64_805`
6×	`associate-/l*_binary64_712`
4×	`associate-/r*_binary64_711` `associate-/r/_binary64_713` `add-cbrt-cube_binary64_803`
3×	`pow1_binary64_828`
2×	`associate-/l/_binary64_714` `add-log-exp_binary64_806` `flip-+_binary64_741` `rem-log-exp_binary64_808` `flip3-+_binary64_770` `div-exp_binary64_818` `div-inv_binary64_764`
1×	`frac-2neg_binary64_778` `log-div_binary64_854` `cbrt-undiv_binary64_801` `log-pow_binary64_856` `flip--_binary64_742` `div-sub_binary64_772` `clear-num_binary64_766` `flip3--_binary64_771`

Counts

2 → 92

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series82.0ms (2%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
28.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5316	1892

prune224.0ms (5.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

Compiler

Compiled 3328 to 2696 computations (19% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_789`
15×	`associate-l_binary64_708`
12×	`add-exp-log_binary64_805`
10×	`associate-r_binary64_707`
9×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
8×	`unpow-prod-down_binary64_846`
7×	`unswap-sqr_binary64_735`
6×	`prod-exp_binary64_816` `add-cbrt-cube_binary64_803`
4×	`sqr-pow_binary64_739` `cube-prod_binary64_795`
2×	`pow-to-exp_binary64_836` `cbrt-unprod_binary64_800` `pow-exp_binary64_835` `pow1_binary64_828` `*-commutative_binary64_698` `add-log-exp_binary64_806`
1×	`cube-mult_binary64_797` `unpow3_binary64_833`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 eps 3) -2/3)
6.0ms	(*.f64 2/5 (pow.f64 eps 5))

series116.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(*.f64 2/5 (pow.f64 eps 5))
47.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5192	594

prune66.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Merged error: 0.0b

Counts

64 → 2

Compiler

Compiled 1208 to 835 computations (30.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b	(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.1b	(log.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))

rewrite69.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64_767`
102×	`add-sqr-sqrt_binary64_789`
96×	`times-frac_binary64_773`
90×	`exp-prod_binary64_819`
63×	`log-pow_binary64_856`
51×	`add-cube-cbrt_binary64_802`
37×	`log-prod_binary64_853`
34×	`difference-of-squares_binary64_736`
25×	`distribute-lft-out_binary64_718`
17×	`distribute-lft-out--_binary64_719`
8×	`associate-/r/_binary64_713`
7×	`add-exp-log_binary64_805` `pow1_binary64_828`
6×	`associate-/l*_binary64_712` `add-cbrt-cube_binary64_803`
5×	`add-log-exp_binary64_806`
4×	`associate-/r*_binary64_711` `flip-+_binary64_741` `flip3-+_binary64_770` `div-inv_binary64_764`
3×	`div-sub_binary64_772`
2×	`associate-/l/_binary64_714` `exp-diff_binary64_815` `rem-log-exp_binary64_808`
1×	`frac-2neg_binary64_778` `log-div_binary64_854` `cbrt-undiv_binary64_801` `flip--_binary64_742` `div-exp_binary64_818` `rem-exp-log_binary64_807` `clear-num_binary64_766` `flip3--_binary64_771`

Counts

4 → 176

Calls

4 calls:

14.0ms	(exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
13.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
13.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

series182.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
41.0ms	(exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
35.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4983	3145
1	4983	3145

prune190.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	2	190

Merged error: 0.0b

Counts

190 → 2

Compiler

Compiled 3170 to 2474 computations (22% saved)

regimes15.0ms (0.4%)

Compiler: Compiled 66 to 56 computations (15.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	22
1	66	22

end0.0ms (0%)

sample2.4s (58.5%)

Algorithm

1×

intervals

Results

1.4s	4034×	body	1024	valid
376.0ms	1998×	body	512	valid
220.0ms	420×	body	2048	valid
105.0ms	978×	body	256	valid
29.0ms	570×	body	128	valid

Compiler

Compiled 64 to 55 computations (14.1% saved)

Details

analyze4.0ms (0.1%)

sample76.0ms (1.9%)

simplify379.0ms (9.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite27.0ms (0.7%)

series82.0ms (2%)

simplify70.0ms (1.7%)

prune224.0ms (5.5%)

localize10.0ms (0.2%)

rewrite18.0ms (0.4%)

series116.0ms (2.9%)

simplify57.0ms (1.4%)

prune66.0ms (1.6%)

localize9.0ms (0.2%)

rewrite69.0ms (1.7%)

series182.0ms (4.5%)

simplify89.0ms (2.2%)

prune190.0ms (4.7%)

regimes15.0ms (0.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (58.5%)

Profiling