Details

analyze269.0ms (5.7%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify175.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_98`
6×	`*-un-lft-identity_binary64_77`
5×	`associate-r_binary64_19`
4×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `sub-neg_binary64_70` `pow1_binary64_135` `add-cube-cbrt_binary64_109`
3×	`associate-l_binary64_20`
2×	`distribute-lft-in_binary64_28` `associate-*r/_binary64_21` `associate-+r+_binary64_11` `distribute-rgt-in_binary64_29`
1×	`pow-prod-down_binary64_145` `flip-+_binary64_51` `cbrt-unprod_binary64_107` `distribute-lft-out--_binary64_31` `flip3-+_binary64_80` `flip--_binary64_52` `+-commutative_binary64_9` `unswap-sqr_binary64_45` `difference-of-squares_binary64_46` `prod-exp_binary64_123` `*-commutative_binary64_10` `flip3--_binary64_81` `sum-log_binary64_165`

Counts

2 → 37

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series129.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

67.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
62.0ms	(*.f64 y (-.f64 z x))

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	482
1	4972	482

prune34.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

Compiler

Compiled 579 to 164 computations (71.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
4.0b	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.0b	(cbrt.f64 (*.f64 y (-.f64 z x)))
4.0b	(cbrt.f64 (*.f64 y (-.f64 z x)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_21`
18×	`cbrt-div_binary64_106`
11×	`pow1_binary64_135`
10×	`add-sqr-sqrt_binary64_98`
9×	`flip--_binary64_52` `flip3--_binary64_81` `pow1/3_binary64_156`
8×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
7×	`cbrt-prod_binary64_105`
6×	`add-exp-log_binary64_112`
4×	`associate-l_binary64_20` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `frac-times_binary64_87` `swap-sqr_binary64_44` `associate-r_binary64_19`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144` `associate-*l/_binary64_22`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `unswap-sqr_binary64_45` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

series1.2s (24.9%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x))))
280.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
269.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))
269.0ms	(cbrt.f64 (*.f64 y (-.f64 z x)))

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4899	1189
1	4899	1189

prune74.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

Compiler

Compiled 2170 to 446 computations (79.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_105`
37×	`add-sqr-sqrt_binary64_98`
35×	`*-un-lft-identity_binary64_77`
18×	`cbrt-div_binary64_106`
15×	`add-cube-cbrt_binary64_109`
11×	`pow1_binary64_135`
10×	`swap-sqr_binary64_44`
9×	`distribute-lft-out--_binary64_31` `flip--_binary64_52` `flip3--_binary64_81` `pow1/3_binary64_156`
8×	`associate-l_binary64_20` `associate-r_binary64_19`
7×	`difference-of-squares_binary64_46`
6×	`add-exp-log_binary64_112`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `frac-times_binary64_87` `unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144` `associate-l/_binary64_22` `associate-r/_binary64_21`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
5.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))

series883.0ms (18.7%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
222.0ms	(cbrt.f64 (-.f64 z x))
214.0ms	(cbrt.f64 (-.f64 z x))
213.0ms	(cbrt.f64 (-.f64 z x))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4923	1654
1	4923	1654

prune97.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

Compiler

Compiled 2688 to 766 computations (71.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.3b	(.f64 (.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x)))
3.5b	(-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x))))
23.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x)))) (-.f64 x (*.f64 y (-.f64 z x))))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`pow1_binary64_135`
20×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
19×	`add-sqr-sqrt_binary64_98`
18×	`pow-prod-down_binary64_145`
17×	`*-un-lft-identity_binary64_77`
16×	`associate-*r/_binary64_21`
15×	`add-cube-cbrt_binary64_109`
12×	`times-frac_binary64_83`
11×	`sub-neg_binary64_70`
10×	`flip--_binary64_52` `flip3--_binary64_81`
9×	`cbrt-unprod_binary64_107` `distribute-lft-in_binary64_28` `prod-exp_binary64_123` `distribute-rgt-in_binary64_29`
6×	`add-log-exp_binary64_113` `difference-of-squares_binary64_46` `associate-r_binary64_19`
4×	`associate-l_binary64_20` `pow-sqr_binary64_50` `frac-times_binary64_87` `pow-prod-up_binary64_144` `associate-/l*_binary64_24` `associate--r+_binary64_15`
3×	`associate-/r*_binary64_23`
2×	`pow-plus_binary64_137` `associate-l/_binary64_22` `associate-/r/_binary64_25` `-commutative_binary64_10` `associate-/l/_binary64_26`
1×	`pow2_binary64_155` `cbrt-undiv_binary64_108` `distribute-lft-out--_binary64_31` `div-sub_binary64_82` `div-exp_binary64_125` `unswap-sqr_binary64_45` `clear-num_binary64_76` `swap-sqr_binary64_44` `diff-log_binary64_166` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

4 → 122

Calls

4 calls:

13.0ms	(.f64 (.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x)))
11.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x)))) (-.f64 x (*.f64 y (-.f64 z x))))
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x))))

series568.0ms (12%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x)))) (-.f64 x (*.f64 y (-.f64 z x))))
129.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z x))))
84.0ms	(.f64 (.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x)))
73.0ms	(*.f64 y (-.f64 z x))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	2582
1	4966	2582

prune115.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	135	4	139

Merged error: 0b

Counts

139 → 4

Compiler

Compiled 3574 to 704 computations (80.3% saved)

regimes110.0ms (2.3%)

Compiler: Compiled 1136 to 614 computations (46% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample651.0ms (13.8%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	128	valid
16.0ms	566×	body	128	invalid

Compiler

Compiled 294 to 162 computations (44.9% saved)

Details

analyze269.0ms (5.7%)

sample15.0ms (0.3%)

simplify175.0ms (3.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite17.0ms (0.4%)

series129.0ms (2.7%)

simplify52.0ms (1.1%)

prune34.0ms (0.7%)

localize9.0ms (0.2%)

rewrite30.0ms (0.6%)

series1.2s (24.9%)

simplify71.0ms (1.5%)

prune74.0ms (1.6%)

localize9.0ms (0.2%)

rewrite35.0ms (0.7%)

series883.0ms (18.7%)

simplify55.0ms (1.2%)

prune97.0ms (2.1%)

localize10.0ms (0.2%)

rewrite51.0ms (1.1%)

series568.0ms (12%)

simplify70.0ms (1.5%)

prune115.0ms (2.4%)

regimes110.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample651.0ms (13.8%)

Profiling