Details

analyze625.0ms (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify120.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	438	10
1	438	10

prune8.0ms (0.2%)

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 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
6.7b	(.f64 y (.f64 t (-.f64 x z)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
18×	`cancel-sign-sub-inv_binary64_13343`
15×	`add-sqr-sqrt_binary64_13399`
13×	`*-un-lft-identity_binary64_13377`
11×	`add-cube-cbrt_binary64_13412`
9×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
6×	`associate-r_binary64_13317` `associate-l_binary64_13318` `associate-*r/_binary64_13319` `sub-neg_binary64_13370`
4×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448`
2×	`*-commutative_binary64_13308` `flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416`
1×	`distribute-lft-out--_binary64_13329` `unswap-sqr_binary64_13345` `difference-of-squares_binary64_13346`

Counts

2 → 66

Calls

2 calls:

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

series80.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(.f64 y (.f64 t (-.f64 x z)))
33.0ms	(*.f64 t (-.f64 x z))

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5278	830

prune50.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	8	74

Error

0.0b

Counts

74 → 8

Compiler

Compiled 899 to 207 computations (77% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.7b	(.f64 y (.f64 t (-.f64 x z)))
8.5b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
8.5b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
8.5b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `associate-*r/_binary64_13319`
12×	`cancel-sign-sub-inv_binary64_13343`
9×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
6×	`cbrt-div_binary64_13409`
4×	`flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416` `sub-neg_binary64_13370`
3×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `cbrt-prod_binary64_13408` `pow-prod-down_binary64_13448` `pow1/3_binary64_13459` `associate-l_binary64_13318`
1×	`associate-r_binary64_13317` `*-commutative_binary64_13308`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 y (.f64 t (-.f64 x z)))
8.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))

series508.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
153.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
152.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
45.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4939	1159
1	4939	1159

prune71.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Error

0.0b

Counts

89 → 9

Compiler

Compiled 2562 to 342 computations (86.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.7b	(.f64 y (.f64 t (-.f64 x z)))
8.5b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
8.5b	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
10.1b	(cbrt.f64 (*.f64 t (-.f64 x z)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
14×	`associate-*r/_binary64_13319`
12×	`cancel-sign-sub-inv_binary64_13343`
9×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
6×	`cbrt-div_binary64_13409`
4×	`flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416` `sub-neg_binary64_13370`
3×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `cbrt-prod_binary64_13408` `pow-prod-down_binary64_13448` `pow1/3_binary64_13459` `associate-l_binary64_13318`
1×	`associate-r_binary64_13317` `*-commutative_binary64_13308`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 y (.f64 t (-.f64 x z)))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
6.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
5.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))

series470.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
139.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))
134.0ms	(cbrt.f64 (.f64 y (.f64 t (-.f64 x z))))
50.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4981	1112
1	4981	1112

prune72.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	81	9	90

Error

0.0b

Counts

90 → 9

Compiler

Compiled 2604 to 365 computations (86% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
3.3b	(.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y))
3.6b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_13438` `add-exp-log_binary64_13415`
18×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448` `add-cbrt-cube_binary64_13413`
9×	`cbrt-prod_binary64_13408`
8×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
7×	`associate-r_binary64_13317`
6×	`associate-*r/_binary64_13319`
4×	`associate-*l/_binary64_13320` `add-log-exp_binary64_13416`
2×	`pow1/3_binary64_13459` `-commutative_binary64_13308` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l*_binary64_13318`

Counts

4 → 75

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y)))
8.0ms	(.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series400.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y))
105.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 t (-.f64 x z)) (cbrt.f64 y)))
84.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)

simplify95.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4950	909
1	4950	909

prune53.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	88	8	96

Error

0.0b

Counts

96 → 8

Compiler

Compiled 1309 to 271 computations (79.3% saved)

regimes352.0ms (8.5%)

Accuracy

Total 3.9b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 1856 to 1330 computations (28.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	70
1	65	70

end0.0ms (0%)

sample874.0ms (21%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
58.0ms	1952×	body	128	invalid

Compiler

Compiled 380 to 253 computations (33.4% saved)

Details

analyze625.0ms (15%)

sample21.0ms (0.5%)

simplify120.0ms (2.9%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

rewrite19.0ms (0.5%)

series80.0ms (1.9%)

simplify40.0ms (1%)

prune50.0ms (1.2%)

localize10.0ms (0.2%)

rewrite34.0ms (0.8%)

series508.0ms (12.2%)

simplify72.0ms (1.7%)

prune71.0ms (1.7%)

localize16.0ms (0.4%)

rewrite31.0ms (0.7%)

series470.0ms (11.3%)

simplify90.0ms (2.2%)

prune72.0ms (1.7%)

localize9.0ms (0.2%)

rewrite30.0ms (0.7%)

series400.0ms (9.6%)

simplify95.0ms (2.3%)

prune53.0ms (1.3%)

regimes352.0ms (8.5%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample874.0ms (21%)

Profiling