Details

analyze438.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (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)))

rewrite93.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `associate-+r+_binary64_10` `distribute-lft-in_binary64_27`
5×	`associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 655 to 182 computations (72.2% saved)

series383.0ms (6.3%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

213.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
153.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 466 to 358 computations (23.2% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5323	764

prune66.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 557 to 177 computations (68.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite134.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1487 to 416 computations (72% saved)

series530.0ms (8.7%)

Error

Counts

4 → 12

Calls

4 calls:

159.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
126.0ms	(cbrt.f64 x)
118.0ms	(cbrt.f64 x)
114.0ms	(cbrt.f64 x)

Compiler

Compiled 628 to 440 computations (29.9% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune96.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 1151 to 402 computations (65.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
1.6b	(-.f64 (.f64 z z) (.f64 x x))
10.1b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
17.2b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite136.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`add-sqr-sqrt_binary64_100`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`pow1_binary64_139`
4×	`times-frac_binary64_84` `associate-r/_binary64_20` `associate-/r_binary64_22` `associate-r_binary64_18`
3×	`distribute-lft-out_binary64_29` `flip3--_binary64_82` `flip--_binary64_53` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `associate-l_binary64_19`
2×	`prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111` `associate-/l/_binary64_25` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `difference-of-squares_binary64_47`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `-commutative_binary64_9` `diff-log_binary64_170` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
10.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
7.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1825 to 334 computations (81.7% saved)

series1.4s (23.1%)

Error

Counts

4 → 60

Calls

4 calls:

598.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
364.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
280.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
133.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1397 to 1032 computations (26.1% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	1669
1	4968	1669

prune102.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 1318 to 334 computations (74.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 z x))
0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))
0.1b	(*.f64 y (sqrt.f64 (-.f64 z x)))
0.2b	(.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))

rewrite145.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_100`
16×	`sqrt-div_binary64_95` `-un-lft-identity_binary64_78` `associate-r*_binary64_18` `sqrt-prod_binary64_94`
12×	`pow1_binary64_139`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`add-cube-cbrt_binary64_113` `associate-*r/_binary64_20`
8×	`flip3--_binary64_82` `flip--_binary64_53`
6×	`add-log-exp_binary64_117`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `associate-l_binary64_19`
3×	`difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`
2×	`associate-l/_binary64_21` `-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8` `pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 85

Calls

4 calls:

13.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
8.0ms	(*.f64 y (sqrt.f64 (-.f64 z x)))
3.0ms	(sqrt.f64 (-.f64 z x))
3.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))

Compiler

Compiled 1711 to 353 computations (79.4% saved)

series564.0ms (9.2%)

Error

Counts

4 → 50

Calls

4 calls:

194.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))))
141.0ms	(*.f64 y (sqrt.f64 (-.f64 z x)))
140.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
58.0ms	(sqrt.f64 (-.f64 z x))

Compiler

Compiled 1255 to 887 computations (29.3% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4901	1556
1	4901	1556

prune103.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

Counts

139 → 4

Compiler

Compiled 1261 to 326 computations (74.1% saved)

regimes969.0ms (15.8%)

Accuracy

Total 0.0b remaining (44.9%)

Threshold costs 0.0b (44.9%)

Compiler

Compiled 7444 to 5410 computations (27.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample580.0ms (9.5%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
13.0ms	587×	body	128	invalid

Compiler

Compiled 70 to 63 computations (10% saved)

Details

analyze438.0ms (7.2%)

sample16.0ms (0.3%)

simplify18.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite93.0ms (1.5%)

series383.0ms (6.3%)

simplify64.0ms (1%)

prune66.0ms (1.1%)

localize11.0ms (0.2%)

rewrite134.0ms (2.2%)

series530.0ms (8.7%)

simplify73.0ms (1.2%)

prune96.0ms (1.6%)

localize11.0ms (0.2%)

rewrite136.0ms (2.2%)

series1.4s (23.1%)

simplify64.0ms (1.1%)

prune102.0ms (1.7%)

localize8.0ms (0.1%)

rewrite145.0ms (2.4%)

series564.0ms (9.2%)

simplify90.0ms (1.5%)

prune103.0ms (1.7%)

regimes969.0ms (15.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample580.0ms (9.5%)

Profiling