Details

analyze310.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	48
1	79	48
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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	32×	body	128	nan
0.0ms	13×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_4533`
6×	`associate-r_binary64_4451`
5×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `sqrt-prod_binary64_4527`
3×	`associate-l_binary64_4452`
2×	`unswap-sqr_binary64_4479`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442` `sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

2 → 33

Calls

2 calls:

5.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 423 to 171 computations (59.6% saved)

series229.0ms (3.2%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

149.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
75.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 324 to 318 computations (1.9% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune53.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 466 to 223 computations (52.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite173.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_4527`
25×	`add-sqr-sqrt_binary64_4533`
18×	`associate-r_binary64_4451`
15×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
8×	`sqrt-pow1_binary64_4529`
4×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452` `pow1/2_binary64_4591` `rem-sqrt-square_binary64_4524`
3×	`unswap-sqr_binary64_4479`
2×	`*-commutative_binary64_4442`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1362 to 469 computations (65.6% saved)

series467.0ms (6.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

225.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
79.0ms	(sqrt.f64 (sqrt.f64 z))
77.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
76.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 506 to 459 computations (9.3% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5186	879

prune122.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Error

Counts

113 → 8

Compiler

Compiled 1013 to 416 computations (58.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

rewrite178.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`sqrt-prod_binary64_4527`
20×	`add-sqr-sqrt_binary64_4533`
19×	`add-exp-log_binary64_4549`
16×	`associate-r_binary64_4451`
12×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`add-cbrt-cube_binary64_4547`
10×	`prod-exp_binary64_4560`
8×	`pow1_binary64_4572`
6×	`add-log-exp_binary64_4550`
4×	`cbrt-unprod_binary64_4544` `associate-l_binary64_4452` `sqrt-pow1_binary64_4529`
3×	`unpow-prod-down_binary64_4590` `unswap-sqr_binary64_4479`
2×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `*-commutative_binary64_4442` `pow1/2_binary64_4591` `rem-sqrt-square_binary64_4524`
1×	`sqr-pow_binary64_4483` `pow-prod-down_binary64_4582` `sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

4 → 80

Calls

4 calls:

8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1401 to 700 computations (50% saved)

series573.0ms (8.1%)

Error

Counts

4 → 30

Calls

4 calls:

224.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
166.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
94.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
76.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 678 to 639 computations (5.8% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4894	1247
1	4894	1247

prune128.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Error

Counts

118 → 8

Compiler

Compiled 1095 to 582 computations (46.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
0.3b	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)
0.4b	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

rewrite262.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`sqrt-prod_binary64_4527`
30×	`add-sqr-sqrt_binary64_4533`
25×	`associate-r_binary64_4451`
21×	`unpow-prod-down_binary64_4590`
20×	`add-exp-log_binary64_4549`
19×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547`
10×	`prod-exp_binary64_4560`
8×	`sqrt-pow1_binary64_4529`
5×	`pow-pow_binary64_4583` `unswap-sqr_binary64_4479`
4×	`add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452` `pow1/2_binary64_4591`
3×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `pow-unpow_binary64_4588` `sqr-pow_binary64_4483`
2×	`*-commutative_binary64_4442` `rem-sqrt-square_binary64_4524`
1×	`pow-prod-down_binary64_4582` `sqrt-pow2_binary64_4530`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
9.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
4.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 2099 to 1017 computations (51.5% saved)

series627.0ms (8.8%)

Error

Counts

4 → 18

Calls

4 calls:

313.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
136.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)
84.0ms	(sqrt.f64 (sqrt.f64 z))
84.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

Compiler

Compiled 593 to 545 computations (8.1% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5440	1369

prune152.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	127	7	134

Error

Counts

134 → 7

Compiler

Compiled 1323 to 626 computations (52.7% saved)

regimes2.5s (35.1%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

Compiler

Compiled 19403 to 16037 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end1.0ms (0%)

Compiler: Compiled 8 to 8 computations (0% saved)

sample857.0ms (12.1%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
36.0ms	1071×	body	128	nan
14.0ms	379×	body	128	invalid

Compiler

Compiled 118 to 114 computations (3.4% saved)

Details

analyze310.0ms (4.4%)

sample26.0ms (0.4%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite56.0ms (0.8%)

series229.0ms (3.2%)

simplify80.0ms (1.1%)

prune53.0ms (0.7%)

localize9.0ms (0.1%)

rewrite173.0ms (2.4%)

series467.0ms (6.6%)

simplify78.0ms (1.1%)

prune122.0ms (1.7%)

localize14.0ms (0.2%)

rewrite178.0ms (2.5%)

series573.0ms (8.1%)

simplify103.0ms (1.5%)

prune128.0ms (1.8%)

localize16.0ms (0.2%)

rewrite262.0ms (3.7%)

series627.0ms (8.8%)

simplify63.0ms (0.9%)

prune152.0ms (2.2%)

regimes2.5s (35.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample857.0ms (12.1%)

Profiling