Details

analyze1.6s (17.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4984	91
1	4984	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14
44.4%	49.9%	5.8%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample954.0ms (11%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
7.0ms	163×	body	128	invalid

Compiler

Compiled 3599 to 4675 computations (-29.9% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

1.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite70.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_13399`
13×	`associate-r_binary64_13317`
12×	`*-un-lft-identity_binary64_13377`
10×	`add-cube-cbrt_binary64_13412` `times-frac_binary64_13383`
7×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
5×	`associate-l_binary64_13318`
4×	`pow1_binary64_13438` `add-log-exp_binary64_13416`
2×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `flip3--_binary64_13381` `frac-times_binary64_13387` `flip--_binary64_13352` `unswap-sqr_binary64_13345` `associate-*l/_binary64_13320`
1×	`pow-prod-down_binary64_13448` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `associate-r/_binary64_13319` `difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329` `div-inv_binary64_13374` `-commutative_binary64_13308` `sum-log_binary64_13468` `flip3-+_binary64_13380` `flip-+_binary64_13351` `+-commutative_binary64_13307`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series776.0ms (8.9%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

451.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
297.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5762	1171

prune73.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Error

Counts

92 → 6

Compiler

Compiled 1169 to 260 computations (77.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
0.0b	(/.f64 (-.f64 y x) t)
7.1b	(*.f64 z (/.f64 (-.f64 y x) t))

rewrite101.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_13399`
37×	`*-un-lft-identity_binary64_13377`
31×	`times-frac_binary64_13383`
23×	`add-cube-cbrt_binary64_13412`
19×	`associate-r_binary64_13317`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
7×	`difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`
5×	`pow1_binary64_13438` `add-log-exp_binary64_13416` `associate-/l*_binary64_13322`
3×	`associate-l_binary64_13318` `associate-/r*_binary64_13321`
2×	`div-exp_binary64_13428` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `cbrt-undiv_binary64_13411` `unswap-sqr_binary64_13345` `div-inv_binary64_13374` `associate-/l/_binary64_13324`
1×	`pow-prod-down_binary64_13448` `associate-r/_binary64_13319` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `div-sub_binary64_13382` `clear-num_binary64_13376` `flip3--_binary64_13381` `flip--_binary64_13352` `sum-log_binary64_13468` `flip3-+_binary64_13380` `flip-+_binary64_13351` `+-commutative_binary64_13307`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
6.0ms	(/.f64 (-.f64 y x) t)
3.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))

Compiler

Compiled 1505 to 390 computations (74.1% saved)

series927.0ms (10.6%)

Error

Counts

3 → 57

Calls

3 calls:

394.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
323.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
179.0ms	(/.f64 (-.f64 y x) t)

Compiler

Compiled 1499 to 877 computations (41.5% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4994	1752
1	4994	1752

prune101.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	144	6	150

Error

Counts

150 → 6

Compiler

Compiled 1886 to 379 computations (79.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
0.0b	(*.f64 z (-.f64 y x))
7.8b	(/.f64 (*.f64 z (-.f64 y x)) t)

rewrite78.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_13399` `*-un-lft-identity_binary64_13377`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
9×	`add-cube-cbrt_binary64_13412`
6×	`cancel-sign-sub-inv_binary64_13343`
5×	`pow1_binary64_13438` `add-log-exp_binary64_13416` `associate-r_binary64_13317`
4×	`associate-*r/_binary64_13319` `distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
3×	`times-frac_binary64_13383` `associate-/r_binary64_13321` `associate-l*_binary64_13318`
2×	`prod-exp_binary64_13426` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `cbrt-unprod_binary64_13410` `flip3--_binary64_13381` `associate-/l/_binary64_13324` `flip--_binary64_13352` `sub-neg_binary64_13370`
1×	`frac-2neg_binary64_13388` `clear-num_binary64_13376` `div-inv_binary64_13374` `associate-/l_binary64_13322` `pow-prod-down_binary64_13448` `unswap-sqr_binary64_13345` `difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329` `-commutative_binary64_13308` `sum-log_binary64_13468` `flip3-+_binary64_13380` `flip-+_binary64_13351` `distribute-lft-out_binary64_13328` `+-commutative_binary64_13307`

Counts

3 → 65

Calls

3 calls:

7.0ms	(/.f64 (*.f64 z (-.f64 y x)) t)
7.0ms	(*.f64 z (-.f64 y x))
5.0ms	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series888.0ms (10.2%)

Error

Counts

3 → 57

Calls

3 calls:

398.0ms	(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))
304.0ms	(/.f64 (*.f64 z (-.f64 y x)) t)
154.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4973	1322
1	4973	1322

prune80.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Error

Counts

128 → 6

Compiler

Compiled 1416 to 270 computations (80.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
7.8b	(/.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 y x) (cbrt.f64 z))) t)

rewrite86.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-exp-log_binary64_13415`
16×	`add-cbrt-cube_binary64_13413`
9×	`add-cube-cbrt_binary64_13412` `add-sqr-sqrt_binary64_13399` `*-un-lft-identity_binary64_13377` `cbrt-prod_binary64_13408`
8×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410`
5×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
4×	`pow1_binary64_13438` `add-log-exp_binary64_13416`
3×	`times-frac_binary64_13383` `associate-/r*_binary64_13321` `pow1/3_binary64_13459`
2×	`associate-l/_binary64_13320` `associate-r/_binary64_13319` `associate-/l/_binary64_13324`
1×	`frac-2neg_binary64_13388` `clear-num_binary64_13376` `div-inv_binary64_13374` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-/l*_binary64_13322`

Counts

4 → 62

Calls

4 calls:

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

Compiler

Compiled 1411 to 328 computations (76.8% saved)

series683.0ms (7.8%)

Error

Counts

4 → 27

Calls

4 calls:

328.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 y x) (cbrt.f64 z))) t)
117.0ms	(cbrt.f64 z)
113.0ms	(cbrt.f64 z)
108.0ms	(cbrt.f64 z)

Compiler

Compiled 1035 to 664 computations (35.8% saved)

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5247	801

prune62.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	89	6	95

Error

Counts

95 → 6

Compiler

Compiled 1382 to 326 computations (76.4% saved)

regimes512.0ms (5.9%)

Accuracy

Total 2.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4430 to 3310 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.4s (16.3%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
78.0ms	2552×	body	128	invalid

Compiler

Compiled 799 to 582 computations (27.2% saved)

Details

analyze1.6s (17.9%)

sample954.0ms (11%)

simplify54.0ms (0.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite70.0ms (0.8%)

series776.0ms (8.9%)

simplify75.0ms (0.9%)

prune73.0ms (0.8%)

localize7.0ms (0.1%)

rewrite101.0ms (1.2%)

series927.0ms (10.6%)

simplify76.0ms (0.9%)

prune101.0ms (1.2%)

localize7.0ms (0.1%)

rewrite78.0ms (0.9%)

series888.0ms (10.2%)

simplify56.0ms (0.6%)

prune80.0ms (0.9%)

localize11.0ms (0.1%)

rewrite86.0ms (1%)

series683.0ms (7.8%)

simplify36.0ms (0.4%)

prune62.0ms (0.7%)

regimes512.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (16.3%)

Profiling