Details

analyze480.0ms (9.7%)

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)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	549	13
1	549	13

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

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

rewrite70.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `add-sqr-sqrt_binary64_21583`
8×	`*-un-lft-identity_binary64_21561`
6×	`add-cube-cbrt_binary64_21596` `associate-l/_binary64_21504` `associate-l_binary64_21502` `associate-r*_binary64_21501`
5×	`add-log-exp_binary64_21600`
4×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
2×	`flip3--_binary64_21565` `flip--_binary64_21536` `*-commutative_binary64_21492`
1×	`unswap-sqr_binary64_21529` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.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)

series402.0ms (8.2%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

183.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
128.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
64.0ms	(*.f64 (-.f64 y x) 6)

Compiler

Compiled 1156 to 881 computations (23.8% saved)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5461	1073

prune73.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Error

Counts

99 → 5

Compiler

Compiled 1168 to 556 computations (52.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
5×	`add-sqr-sqrt_binary64_21583` `-un-lft-identity_binary64_21561` `associate-l*_binary64_21502`
4×	`add-log-exp_binary64_21600`
3×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `add-cube-cbrt_binary64_21596` `cbrt-unprod_binary64_21594`
2×	`associate-*l/_binary64_21504`
1×	`flip3--_binary64_21565` `flip--_binary64_21536` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `associate-r_binary64_21501` `*-commutative_binary64_21492` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 (-.f64 y x) (.f64 z 6))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))

Compiler

Compiled 570 to 293 computations (48.6% saved)

series336.0ms (6.8%)

Error

Counts

2 → 33

Calls

2 calls:

186.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
133.0ms	(.f64 (-.f64 y x) (.f64 z 6))

Compiler

Compiled 874 to 653 computations (25.3% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4986	813
1	4986	813

prune39.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Error

Counts

71 → 5

Compiler

Compiled 786 to 359 computations (54.3% 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)))

rewrite99.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
30×	`cancel-sign-sub-inv_binary64_21527`
20×	`add-sqr-sqrt_binary64_21583`
18×	`*-un-lft-identity_binary64_21561`
16×	`add-cube-cbrt_binary64_21596` `associate-+r+_binary64_21493`
10×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `sub-neg_binary64_21554`
6×	`associate-r/_binary64_21503` `associate-l_binary64_21502` `associate-r*_binary64_21501`
5×	`add-log-exp_binary64_21600`
4×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
2×	`flip3--_binary64_21565` `flip--_binary64_21536` `*-commutative_binary64_21492`
1×	`sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `unswap-sqr_binary64_21529` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`

Counts

3 → 93

Calls

3 calls:

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

Compiler

Compiled 1546 to 646 computations (58.2% saved)

series423.0ms (8.6%)

Error

Counts

3 → 48

Calls

3 calls:

177.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
128.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
94.0ms	(*.f64 z (-.f64 x y))

Compiler

Compiled 1249 to 909 computations (27.2% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4980	1556
1	4980	1556

prune87.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Error

Counts

146 → 5

Compiler

Compiled 1760 to 743 computations (57.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.3b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.5b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite132.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
16×	`add-sqr-sqrt_binary64_21583`
15×	`associate-r_binary64_21501`
12×	`-un-lft-identity_binary64_21561` `associate-l/_binary64_21504`
10×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `add-cube-cbrt_binary64_21596` `cbrt-unprod_binary64_21594`
7×	`sqrt-prod_binary64_21577` `associate-l_binary64_21502`
6×	`add-log-exp_binary64_21600`
3×	`flip3--_binary64_21565` `flip--_binary64_21536` `*-commutative_binary64_21492`
2×	`unswap-sqr_binary64_21529`
1×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`

Counts

4 → 83

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
10.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
8.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))

Compiler

Compiled 1793 to 1151 computations (35.8% saved)

series893.0ms (18.1%)

Error

Counts

4 → 57

Calls

4 calls:

369.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
230.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
143.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
105.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

Compiler

Compiled 2158 to 1829 computations (15.2% saved)

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4985	1539
1	4985	1539

prune96.0ms (1.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	140	5	145

Error

Counts

145 → 5

Compiler

Compiled 1836 to 998 computations (45.6% saved)

regimes262.0ms (5.3%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 2320 to 1886 computations (18.7% 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%)

sample1.1s (22.7%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
15.0ms	564×	body	128	invalid

Compiler

Compiled 602 to 491 computations (18.4% saved)

Details

analyze480.0ms (9.7%)

sample20.0ms (0.4%)

simplify38.0ms (0.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite70.0ms (1.4%)

series402.0ms (8.2%)

simplify73.0ms (1.5%)

prune73.0ms (1.5%)

localize6.0ms (0.1%)

rewrite38.0ms (0.8%)

series336.0ms (6.8%)

simplify68.0ms (1.4%)

prune39.0ms (0.8%)

localize6.0ms (0.1%)

rewrite99.0ms (2%)

series423.0ms (8.6%)

simplify63.0ms (1.3%)

prune87.0ms (1.8%)

localize8.0ms (0.2%)

rewrite132.0ms (2.7%)

series893.0ms (18.1%)

simplify83.0ms (1.7%)

prune96.0ms (1.9%)

regimes262.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (22.7%)

Profiling