Details

analyze1.1s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4800	143
1	4800	143
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample52.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	105×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	551	13
1	551	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

8.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
7.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite57.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

10×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
9×	`times-frac_binary64_19180`
4×	`add-exp-log_binary64_19212` `add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210`
3×	`associate-/l_binary64_19119` `associate-/r_binary64_19118`
2×	`pow1_binary64_19235` `flip3--_binary64_19178` `associate-/l/_binary64_19121` `flip--_binary64_19149`
1×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `frac-2neg_binary64_19185` `div-sub_binary64_19179` `clear-num_binary64_19173` `div-inv_binary64_19171` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
3.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 797 to 150 computations (81.2% saved)

series462.0ms (5.5%)

Error

7.8b

Counts

2 → 51

Calls

2 calls:

295.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
143.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1095 to 752 computations (31.3% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4946	1303
1	4946	1303

prune75.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	78	15	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	15	94

Error

7.6b

Counts

94 → 15

Compiler

Compiled 1360 to 316 computations (76.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
7.6b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

17×	`add-sqr-sqrt_binary64_19196`
13×	`associate-r_binary64_19114`
11×	`add-exp-log_binary64_19212` `*-un-lft-identity_binary64_19174` `times-frac_binary64_19180`
10×	`add-cube-cbrt_binary64_19209`
7×	`add-cbrt-cube_binary64_19210`
4×	`pow1_binary64_19235` `prod-exp_binary64_19223` `add-log-exp_binary64_19213`
3×	`flip3--_binary64_19178` `flip--_binary64_19149` `unswap-sqr_binary64_19142` `associate-l_binary64_19115`
2×	`div-exp_binary64_19225` `cbrt-unprod_binary64_19207` `frac-times_binary64_19184` `associate-*l/_binary64_19117`
1×	`pow-prod-down_binary64_19245` `1-exp_binary64_19218` `rec-exp_binary64_19224` `cbrt-undiv_binary64_19208` `un-div-inv_binary64_19172` `associate-r/_binary64_19116` `div-inv_binary64_19171` `-commutative_binary64_19105` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`

Counts

2 → 52

Calls

2 calls:

10.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1079 to 363 computations (66.4% saved)

series473.0ms (5.7%)

Error

7.6b

Counts

2 → 51

Calls

2 calls:

299.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
151.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1215 to 890 computations (26.7% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5304	1414

prune79.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	103	15	118

Error

7.6b

Counts

118 → 15

Compiler

Compiled 1579 to 498 computations (68.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.5b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
7.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))

rewrite138.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

90×	`times-frac_binary64_19180`
55×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
18×	`associate-/r*_binary64_19118`
16×	`add-exp-log_binary64_19212`
11×	`associate-/r/_binary64_19120`
10×	`add-cbrt-cube_binary64_19210`
8×	`div-exp_binary64_19225`
6×	`div-inv_binary64_19171` `flip3--_binary64_19178` `flip--_binary64_19149` `associate-/l*_binary64_19119`
5×	`add-log-exp_binary64_19213`
4×	`pow1_binary64_19235` `cbrt-undiv_binary64_19208`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `1-exp_binary64_19218` `rec-exp_binary64_19224`
1×	`inv-pow_binary64_19259` `pow-flip_binary64_19248` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`

Counts

3 → 125

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
5.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3006 to 798 computations (73.5% saved)

series708.0ms (8.5%)

Error

7.6b

Counts

3 → 78

Calls

3 calls:

281.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
237.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
146.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 2496 to 1820 computations (27.1% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5245	4011

prune147.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	199	4	203
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	203	15	218

Error

7.6b

Counts

218 → 15

Compiler

Compiled 3618 to 877 computations (75.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.5b	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
0.5b	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
7.1b	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))

rewrite149.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

52×	`add-exp-log_binary64_19212`
29×	`add-sqr-sqrt_binary64_19196`
23×	`*-un-lft-identity_binary64_19174` `times-frac_binary64_19180`
22×	`add-cube-cbrt_binary64_19209`
20×	`div-exp_binary64_19225` `add-cbrt-cube_binary64_19210`
16×	`prod-exp_binary64_19223`
15×	`associate-r_binary64_19114`
10×	`pow1_binary64_19235` `1-exp_binary64_19218` `rec-exp_binary64_19224`
6×	`add-log-exp_binary64_19213` `cbrt-undiv_binary64_19208` `associate-/r/_binary64_19120` `associate-/l*_binary64_19119`
4×	`cbrt-unprod_binary64_19207` `associate-/r*_binary64_19118`
3×	`unswap-sqr_binary64_19142` `associate-l_binary64_19115` `div-inv_binary64_19171` `flip3--_binary64_19178` `flip--_binary64_19149` `pow-flip_binary64_19248`
2×	`pow-prod-down_binary64_19245` `un-div-inv_binary64_19172` `associate-*r/_binary64_19116` `inv-pow_binary64_19259` `frac-2neg_binary64_19185` `clear-num_binary64_19173`
1×	`*-commutative_binary64_19105` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`

Counts

4 → 123

Calls

4 calls:

14.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))
10.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
5.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 2679 to 1057 computations (60.5% saved)

series905.0ms (10.9%)

Error

7.6b

Counts

4 → 102

Calls

4 calls:

283.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
250.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))
160.0ms	(-.f64 (.f64 x y) (.f64 t z))
152.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3798 to 2912 computations (23.3% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4984	3275
1	4984	3275

prune150.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	225	15	240

Error

7.6b

Counts

240 → 15

Compiler

Compiled 3348 to 1016 computations (69.7% saved)

regimes985.0ms (11.8%)

Accuracy

Total 0.4b remaining (4.8%)

Threshold costs 0.4b (4.8%)

Compiler

Compiled 11349 to 7722 computations (32% saved)

bsearch0.0ms (0%)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

Compiler

Compiled 36 to 36 computations (0% saved)

end0.0ms (0%)

sample2.4s (28.5%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
104.0ms	3148×	body	128	invalid

Compiler

Compiled 1313 to 890 computations (32.2% saved)

Details

analyze1.1s (13.3%)

sample52.0ms (0.6%)

simplify39.0ms (0.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite57.0ms (0.7%)

series462.0ms (5.5%)

simplify74.0ms (0.9%)

prune75.0ms (0.9%)

localize8.0ms (0.1%)

rewrite59.0ms (0.7%)

series473.0ms (5.7%)

simplify71.0ms (0.9%)

prune79.0ms (0.9%)

localize9.0ms (0.1%)

rewrite138.0ms (1.7%)

series708.0ms (8.5%)

simplify85.0ms (1%)

prune147.0ms (1.8%)

localize10.0ms (0.1%)

rewrite149.0ms (1.8%)

series905.0ms (10.9%)

simplify81.0ms (1%)

prune150.0ms (1.8%)

regimes985.0ms (11.8%)

bsearch0.0ms (0%)

simplify23.0ms (0.3%)

end0.0ms (0%)

sample2.4s (28.5%)

Profiling