Details

analyze5.0ms (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 13 to 12 computations (7.7% saved)

sample138.0ms (2%)

Algorithm

1×

intervals

Results

91.0ms	140×	body	1024	valid
24.0ms	65×	body	512	valid
8.0ms	8×	body	2048	valid
5.0ms	28×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify473.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (364.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

59.1b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_78`
52×	`add-sqr-sqrt_binary64_100`
48×	`times-frac_binary64_84`
30×	`log-prod_binary64_164`
25×	`add-cube-cbrt_binary64_113`
18×	`difference-of-squares_binary64_47`
13×	`distribute-lft-out_binary64_29`
9×	`distribute-lft-out--_binary64_30`
7×	`add-exp-log_binary64_116`
6×	`associate-/r*_binary64_22`
4×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `associate-/r/_binary64_24`
3×	`pow1_binary64_139`
2×	`add-log-exp_binary64_117` `div-exp_binary64_129` `flip3--_binary64_82` `div-inv_binary64_75` `flip--_binary64_53` `rem-log-exp_binary64_119` `associate-/l/_binary64_25`
1×	`cbrt-undiv_binary64_112` `flip-+_binary64_52` `frac-2neg_binary64_89` `log-div_binary64_165` `clear-num_binary64_77` `log-pow_binary64_167` `flip3-+_binary64_81`

Counts

2 → 91

Calls

2 calls:

15.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series69.0ms (1%)

Counts

2 → 6

Calls

2 calls:

45.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
24.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify139.0ms (2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5756	1898

prune210.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Error

Counts

98 → 2

Compiler

Compiled 1726 to 1376 computations (20.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
15×	`associate-l_binary64_19`
13×	`add-exp-log_binary64_116`
10×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-un-lft-identity_binary64_78`
8×	`unpow-prod-down_binary64_157`
7×	`add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
6×	`prod-exp_binary64_127`
5×	`add-log-exp_binary64_117`
4×	`sqr-pow_binary64_50` `cube-prod_binary64_106`
3×	`pow1_binary64_139`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111`
1×	`cube-mult_binary64_108` `+-commutative_binary64_8` `flip-+_binary64_52` `unpow3_binary64_144` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 67

Calls

3 calls:

14.0ms	(*.f64 2/5 (pow.f64 x 5))
12.0ms	(*.f64 (pow.f64 x 3) 2/3)
10.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series214.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
48.0ms	(*.f64 2/5 (pow.f64 x 5))
45.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5097	898

prune113.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 1668 to 1213 computations (27.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite121.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64_78`
102×	`add-sqr-sqrt_binary64_100`
96×	`times-frac_binary64_84`
90×	`exp-prod_binary64_130`
63×	`log-pow_binary64_167`
51×	`add-cube-cbrt_binary64_113`
37×	`log-prod_binary64_164`
34×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
17×	`distribute-lft-out--_binary64_30`
8×	`associate-/r/_binary64_24`
7×	`add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22`
5×	`add-log-exp_binary64_117`
4×	`flip3--_binary64_82` `div-inv_binary64_75` `flip--_binary64_53` `associate-/l*_binary64_23`
2×	`rem-log-exp_binary64_119` `associate-/l/_binary64_25`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `rem-exp-log_binary64_118` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81`

Counts

4 → 173

Calls

4 calls:

29.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
23.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
20.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
17.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series160.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(log.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
30.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
19.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
19.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

simplify140.0ms (2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4945	3142
1	4945	3142

prune291.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Error

Counts

187 → 2

Compiler

Compiled 3527 to 2842 computations (19.4% saved)

regimes256.0ms (3.7%)

Accuracy

Total 0.2b remaining (94.7%)

Threshold costs 0.2b (94.7%)

Compiler

Compiled 1782 to 1537 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample4.4s (63.1%)

Algorithm

1×

intervals

Results

2.3s	4028×	body	1024	valid
660.0ms	1996×	body	512	valid
349.0ms	406×	body	2048	valid
189.0ms	983×	body	256	valid
52.0ms	587×	body	128	valid

Compiler

Compiled 407 to 351 computations (13.8% saved)

Details

analyze5.0ms (0.1%)

sample138.0ms (2%)

simplify473.0ms (6.8%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite36.0ms (0.5%)

series69.0ms (1%)

simplify139.0ms (2%)

prune210.0ms (3%)

localize12.0ms (0.2%)

rewrite47.0ms (0.7%)

series214.0ms (3.1%)

simplify98.0ms (1.4%)

prune113.0ms (1.6%)

localize16.0ms (0.2%)

rewrite121.0ms (1.8%)

series160.0ms (2.3%)

simplify140.0ms (2%)

prune291.0ms (4.2%)

regimes256.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (63.1%)

Profiling