Details

analyze580.0ms (9.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1237	52
1	1237	52
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
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	549	13
1	549	13

prune3.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_24009` `add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984` `add-sqr-sqrt_binary64_23970`
8×	`*-un-lft-identity_binary64_23948`
6×	`add-cube-cbrt_binary64_23983` `associate-l/_binary64_23891` `associate-l_binary64_23889` `associate-r*_binary64_23888`
5×	`add-log-exp_binary64_23987`
4×	`pow-prod-down_binary64_24019` `prod-exp_binary64_23997` `cbrt-unprod_binary64_23981`
2×	`flip3--_binary64_23952` `flip--_binary64_23923` `*-commutative_binary64_23879`
1×	`unswap-sqr_binary64_23916` `difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900` `sum-log_binary64_24039` `flip3-+_binary64_23951` `flip-+_binary64_23922` `+-commutative_binary64_23878`

Counts

3 → 53

Calls

3 calls:

9.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
7.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 872 to 443 computations (49.2% saved)

series533.0ms (9%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

251.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
150.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
83.0ms	(*.f64 (-.f64 y x) 6)

Compiler

Compiled 1156 to 881 computations (23.8% saved)

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5461	1073

prune81.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	4	99

Error

Counts

99 → 4

Compiler

Compiled 1155 to 544 computations (52.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (-.f64 x y))
0.0b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
0.3b	(.f64 -6 (.f64 z (-.f64 x y)))

rewrite111.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`distribute-rgt-in_binary64_23898` `distribute-lft-in_binary64_23897`
30×	`cancel-sign-sub-inv_binary64_23914`
20×	`add-sqr-sqrt_binary64_23970`
18×	`*-un-lft-identity_binary64_23948`
16×	`add-cube-cbrt_binary64_23983` `associate-+r+_binary64_23880`
10×	`pow1_binary64_24009` `add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984` `sub-neg_binary64_23941`
6×	`associate-r/_binary64_23890` `associate-l_binary64_23889` `associate-r*_binary64_23888`
5×	`add-log-exp_binary64_23987`
4×	`pow-prod-down_binary64_24019` `prod-exp_binary64_23997` `cbrt-unprod_binary64_23981`
2×	`flip3--_binary64_23952` `flip--_binary64_23923` `*-commutative_binary64_23879`
1×	`sum-log_binary64_24039` `flip3-+_binary64_23951` `flip-+_binary64_23922` `+-commutative_binary64_23878` `unswap-sqr_binary64_23916` `difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900`

Counts

3 → 93

Calls

3 calls:

9.0ms	(*.f64 z (-.f64 x y))
9.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
6.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 1546 to 646 computations (58.2% saved)

series506.0ms (8.5%)

Error

Counts

3 → 48

Calls

3 calls:

213.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
157.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
105.0ms	(*.f64 z (-.f64 x y))

Compiler

Compiled 1249 to 909 computations (27.2% saved)

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4980	1556
1	4980	1556

prune101.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Error

Counts

145 → 4

Compiler

Compiled 1756 to 739 computations (57.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
0.3b	(.f64 (-.f64 y x) (.f64 z 6))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_24009` `add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
5×	`add-sqr-sqrt_binary64_23970` `-un-lft-identity_binary64_23948` `associate-l*_binary64_23889`
4×	`add-log-exp_binary64_23987`
3×	`pow-prod-down_binary64_24019` `prod-exp_binary64_23997` `add-cube-cbrt_binary64_23983` `cbrt-unprod_binary64_23981`
2×	`associate-*l/_binary64_23891`
1×	`flip3--_binary64_23952` `flip--_binary64_23923` `difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900` `associate-r_binary64_23888` `*-commutative_binary64_23879` `sum-log_binary64_24039` `flip3-+_binary64_23951` `flip-+_binary64_23922` `+-commutative_binary64_23878`

Counts

2 → 33

Calls

2 calls:

8.0ms	(.f64 (-.f64 y x) (.f64 z 6))
7.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))

Compiler

Compiled 570 to 293 computations (48.6% saved)

series409.0ms (6.9%)

Error

Counts

2 → 33

Calls

2 calls:

231.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
153.0ms	(.f64 (-.f64 y x) (.f64 z 6))

Compiler

Compiled 874 to 653 computations (25.3% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4986	813
1	4986	813

prune44.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 764 to 339 computations (55.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
0.1b	(*.f64 (-.f64 y x) (sqrt.f64 z))
0.2b	(.f64 6 (.f64 (-.f64 y x) (sqrt.f64 z)))
0.2b	(.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z))

rewrite137.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_24009` `add-exp-log_binary64_23986` `add-cbrt-cube_binary64_23984`
16×	`add-sqr-sqrt_binary64_23970`
13×	`associate-r_binary64_23888`
12×	`*-un-lft-identity_binary64_23948`
10×	`pow-prod-down_binary64_24019` `prod-exp_binary64_23997` `add-cube-cbrt_binary64_23983` `cbrt-unprod_binary64_23981`
9×	`associate-l_binary64_23889`
8×	`associate-*l/_binary64_23891`
7×	`sqrt-prod_binary64_23964`
6×	`add-log-exp_binary64_23987`
4×	`associate-*r/_binary64_23890`
3×	`flip3--_binary64_23952` `flip--_binary64_23923` `*-commutative_binary64_23879`
2×	`unswap-sqr_binary64_23916`
1×	`difference-of-squares_binary64_23917` `distribute-lft-out--_binary64_23900` `sum-log_binary64_24039` `flip3-+_binary64_23951` `flip-+_binary64_23922` `+-commutative_binary64_23878`

Counts

4 → 83

Calls

4 calls:

13.0ms	(.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z))
12.0ms	(*.f64 (-.f64 y x) (sqrt.f64 z))
9.0ms	(.f64 6 (.f64 (-.f64 y x) (sqrt.f64 z)))
7.0ms	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))

Compiler

Compiled 1784 to 640 computations (64.1% saved)

series826.0ms (13.9%)

Error

Counts

4 → 62

Calls

4 calls:

233.0ms	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
207.0ms	(.f64 6 (.f64 (-.f64 y x) (sqrt.f64 z)))
163.0ms	(.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z))
161.0ms	(*.f64 (-.f64 y x) (sqrt.f64 z))

Compiler

Compiled 2206 to 1499 computations (32% saved)

simplify117.0ms (2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4965	1777
1	4965	1777

prune109.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	145	4	149

Error

Counts

149 → 4

Compiler

Compiled 2036 to 773 computations (62% saved)

regimes305.0ms (5.1%)

Accuracy

Total 0.2b remaining (97.4%)

Threshold costs 0.2b (97.4%)

Compiler

Compiled 2271 to 1771 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.6s (26.7%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
20.0ms	589×	body	128	invalid

Compiler

Compiled 575 to 451 computations (21.6% saved)

Details

analyze580.0ms (9.8%)

sample17.0ms (0.3%)

simplify42.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite88.0ms (1.5%)

series533.0ms (9%)

simplify80.0ms (1.3%)

prune81.0ms (1.4%)

localize6.0ms (0.1%)

rewrite111.0ms (1.9%)

series506.0ms (8.5%)

simplify87.0ms (1.5%)

prune101.0ms (1.7%)

localize6.0ms (0.1%)

rewrite46.0ms (0.8%)

series409.0ms (6.9%)

simplify81.0ms (1.4%)

prune44.0ms (0.7%)

localize17.0ms (0.3%)

rewrite137.0ms (2.3%)

series826.0ms (13.9%)

simplify117.0ms (2%)

prune109.0ms (1.8%)

regimes305.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (26.7%)

Profiling