Details

analyze516.0ms (12.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4756	9
1	4756	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	4
87.5%	12.5%	0%	5
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	13
99.9%	0%	0.1%	14
99.9%	0%	0.1%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample89.0ms (2.2%)

Algorithm

2×

intervals

Results

17.0ms

512×

body

128

valid

Compiler

Compiled 1812 to 2070 computations (-14.2% saved)

simplify171.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4756	9
1	4756	9

prune14.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.2b

Counts

2 → 1

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (pow.f64 x 2))
29.1b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite64.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

Rules

11×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`add-exp-log_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64`
3×	`pow1_binary64` `prod-exp_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 2 (pow.f64 x 2))
5.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 437 to 371 computations (15.1% saved)

series95.0ms (2.4%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

52.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
38.0ms	(*.f64 2 (pow.f64 x 2))

Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	360
1	4987	360

prune39.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Error

0.3b

Counts

44 → 5

Compiler

Compiled 423 to 298 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

29.1b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 2 (.f64 x x)))))
30.0b	(cbrt.f64 (.f64 2 (.f64 x x)))
30.0b	(cbrt.f64 (.f64 2 (.f64 x x)))
30.0b	(cbrt.f64 (.f64 2 (.f64 x x)))

rewrite99.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

24×	`pow1_binary64`
15×	`sqrt-pow1_binary64`
12×	`pow1/3_binary64`
9×	`pow-prod-up_binary64`
6×	`pow-plus_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`cbrt-prod_binary64` `pow-sqr_binary64`
2×	`pow2_binary64`
1×	`pow1/2_binary64` `pow3_binary64` `sqrt-prod_binary64`

Counts

4 → 51

Calls

4 calls:

9.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 2 (.f64 x x)))))
4.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 1272 to 789 computations (38% saved)

series605.0ms (15.1%)

Error

0.3b

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))
154.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))
142.0ms	(cbrt.f64 (.f64 2 (.f64 x x)))
124.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 2 (.f64 x x)))) (cbrt.f64 (.f64 2 (.f64 x x)))))

Compiler

Compiled 690 to 536 computations (22.3% saved)

simplify106.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4658	532
1	4658	532

prune74.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Error

0.3b

Counts

68 → 5

Compiler

Compiled 1221 to 731 computations (40.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(*.f64 x (sqrt.f64 2))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 206 to 166 computations (19.4% saved)

series48.0ms (1.2%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

46.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 36 to 34 computations (5.6% saved)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

prune24.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	24	6	30

Error

0.1b

Counts

30 → 6

Compiler

Compiled 220 to 181 computations (17.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite95.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cbrt-cube_binary64` `cbrt-unprod_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `cbrt-prod_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

13.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

Compiler

Compiled 915 to 832 computations (9.1% saved)

series244.0ms (6.1%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

190.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
49.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

Compiler

Compiled 144 to 139 computations (3.5% saved)

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4908	577
1	4908	577

prune51.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	52	6	58

Error

0.1b

Counts

58 → 6

Compiler

Compiled 613 to 547 computations (10.8% saved)

regimes353.0ms (8.8%)

Accuracy

Total 0.3b remaining (70.2%)

Threshold costs 0.3b (70.2%)

Compiler

Compiled 2005 to 1788 computations (10.8% saved)

bsearch24.0ms (0.6%)

Steps

Iters	Range		Point
9	-9.071433653145771e-302	5.2266403227515e-310	2.3597488565447e-311

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	36
1	40	36

end0.0ms (0%)

sample1.1s (26.4%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 435 to 386 computations (11.3% saved)

Details

analyze516.0ms (12.9%)

sample89.0ms (2.2%)

simplify171.0ms (4.3%)

prune14.0ms (0.3%)

localize6.0ms (0.1%)

rewrite64.0ms (1.6%)

series95.0ms (2.4%)

simplify50.0ms (1.2%)

prune39.0ms (1%)

localize8.0ms (0.2%)

rewrite99.0ms (2.5%)

series605.0ms (15.1%)

simplify106.0ms (2.6%)

prune74.0ms (1.9%)

localize3.0ms (0.1%)

rewrite25.0ms (0.6%)

series48.0ms (1.2%)

simplify46.0ms (1.1%)

prune24.0ms (0.6%)

localize6.0ms (0.2%)

rewrite95.0ms (2.4%)

series244.0ms (6.1%)

simplify89.0ms (2.2%)

prune51.0ms (1.3%)

regimes353.0ms (8.8%)

bsearch24.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.4%)

Profiling