Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample36.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	63×	body	1024	valid
10.0ms	140×	body	128	valid
4.0ms	31×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify165.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune2.0ms (0.1%)

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

Error

28.4b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.2b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_78`
24×	`add-sqr-sqrt_binary64_100`
15×	`times-frac_binary64_84`
13×	`add-cube-cbrt_binary64_113`
7×	`add-log-exp_binary64_117`
5×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `distribute-lft-out_binary64_29`
4×	`associate-/r*_binary64_22` `difference-of-squares_binary64_47`
3×	`associate-/l*_binary64_23` `cancel-sign-sub-inv_binary64_44` `pow1_binary64_139`
2×	`flip-+_binary64_52` `associate-/r/_binary64_24` `difference-of-sqr-1_binary64_48` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `flip--_binary64_53` `clear-num_binary64_77` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series84.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
28.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify77.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5084	1373

prune95.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

0.0b

Counts

76 → 2

Compiler

Compiled 1269 to 1150 computations (9.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))
0.0b	(/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)))
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)
2.2b	(-.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))) 1)

rewrite65.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`cbrt-prod_binary64_109`
81×	`add-sqr-sqrt_binary64_100`
77×	`*-un-lft-identity_binary64_78`
66×	`times-frac_binary64_84`
45×	`add-cube-cbrt_binary64_113`
27×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
17×	`associate-/r*_binary64_22`
12×	`difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
9×	`sqr-pow_binary64_50`
7×	`add-exp-log_binary64_116`
6×	`cube-mult_binary64_108` `add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `cube-div_binary64_107` `unpow3_binary64_144` `difference-of-sqr-1_binary64_48`
5×	`pow1_binary64_139`
4×	`cbrt-div_binary64_110`
3×	`flip-+_binary64_52` `associate-/l*_binary64_23` `pow-unpow_binary64_155` `cancel-sign-sub-inv_binary64_44` `flip3-+_binary64_81`
2×	`associate-/r/_binary64_24`
1×	`rem-cube-cbrt_binary64_101` `rem-cbrt-cube_binary64_102` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `frac-2neg_binary64_89` `div-inv_binary64_75` `pow-pow_binary64_150` `flip--_binary64_53` `clear-num_binary64_77` `sub-neg_binary64_71`

Counts

4 → 170

Calls

4 calls:

27.0ms	(-.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))) 1)
9.0ms	(/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))
5.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)

series109.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(-.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))) 1)
29.0ms	(/.f64 2 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)))
27.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3)
8.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))

simplify101.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4889	3916
1	4889	3916

prune247.0ms (8.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	182	2	184

Error

0.0b

Counts

184 → 2

Compiler

Compiled 3537 to 3239 computations (8.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
21.1b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
19×	`associate-r_binary64_18`
13×	`add-exp-log_binary64_116`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157`
7×	`add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
6×	`associate-l_binary64_19` `prod-exp_binary64_127`
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` `diff-log_binary64_170`
1×	`cube-mult_binary64_108` `flip3--_binary64_82` `associate--l+_binary64_15` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

3 → 70

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

series89.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(*.f64 2/15 (pow.f64 x 5))
31.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
25.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune85.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

0.0b

Counts

81 → 2

Compiler

Compiled 1401 to 1082 computations (22.8% saved)

regimes435.0ms (14.2%)

Accuracy

Total 0.8b remaining (99.3%)

Threshold costs 0.8b (99.3%)

Compiler

Compiled 3250 to 3316 computations (-2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	116
1	72	116

end0.0ms (0%)

sample1.4s (44.1%)

Algorithm

1×

intervals

Results

403.0ms	2010×	body	1024	valid
150.0ms	4259×	body	128	valid
118.0ms	978×	body	512	valid
54.0ms	209×	body	2048	valid
41.0ms	544×	body	256	valid

Compiler

Compiled 388 to 386 computations (0.5% saved)

Details

analyze2.0ms (0.1%)

sample36.0ms (1.2%)

simplify165.0ms (5.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite26.0ms (0.8%)

series84.0ms (2.7%)

simplify77.0ms (2.5%)

prune95.0ms (3.1%)

localize9.0ms (0.3%)

rewrite65.0ms (2.1%)

series109.0ms (3.6%)

simplify101.0ms (3.3%)

prune247.0ms (8.1%)

localize8.0ms (0.3%)

rewrite26.0ms (0.8%)

series89.0ms (2.9%)

simplify46.0ms (1.5%)

prune85.0ms (2.8%)

regimes435.0ms (14.2%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (44.1%)

Profiling