Details

analyze205.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5074	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
3.0ms	132×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify135.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5723	9

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 y y))
0.0b	(.f64 x (exp.f64 (.f64 y y)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_24652`
4×	`add-cbrt-cube_binary64_24666` `pow1_binary64_24691` `*-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665` `add-log-exp_binary64_24669`
3×	`add-exp-log_binary64_24668` `associate-l_binary64_24571` `associate-r_binary64_24570`
1×	`rem-exp-log_binary64_24670` `prod-exp_binary64_24679` `pow-prod-down_binary64_24701` `exp-prod_binary64_24682` `unswap-sqr_binary64_24598` `*-commutative_binary64_24561` `cbrt-unprod_binary64_24663` `exp-to-pow_binary64_24692`

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))

series35.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	(exp.f64 (*.f64 y y))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5001	322

prune26.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Error

0.0b

Counts

35 → 5

Compiler

Compiled 391 to 111 computations (71.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_24652`
7×	`associate-r_binary64_24570`
5×	`add-exp-log_binary64_24668`
4×	`*-un-lft-identity_binary64_24630` `unpow-prod-down_binary64_24709` `add-cube-cbrt_binary64_24665`
3×	`prod-exp_binary64_24679` `associate-l_binary64_24571` `add-cbrt-cube_binary64_24666` `unswap-sqr_binary64_24598`
2×	`sqr-pow_binary64_24602`
1×	`pow1_binary64_24691` `pow-to-exp_binary64_24699` `*-commutative_binary64_24561` `pow-exp_binary64_24698` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669`

Counts

1 → 25

Calls

1 calls:

10.0ms

(*.f64 x (pow.f64 (exp.f64 y) y))

series60.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

60.0ms

(*.f64 x (pow.f64 (exp.f64 y) y))

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4897	330
1	4897	330

prune20.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Error

Counts

33 → 5

Compiler

Compiled 363 to 92 computations (74.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(.f64 x (pow.f64 (.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y))
0.0b	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
0.0b	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_24668`
36×	`prod-exp_binary64_24679`
30×	`add-sqr-sqrt_binary64_24652`
22×	`cbrt-prod_binary64_24661`
21×	`associate-r_binary64_24570`
18×	`*-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665`
13×	`pow-exp_binary64_24698`
11×	`add-cbrt-cube_binary64_24666` `pow1_binary64_24691`
10×	`associate-l_binary64_24571`
9×	`pow-to-exp_binary64_24699`
8×	`unpow-prod-down_binary64_24709`
7×	`unswap-sqr_binary64_24598` `pow1/3_binary64_24712`
6×	`swap-sqr_binary64_24597`
5×	`cbrt-unprod_binary64_24663`
4×	`add-log-exp_binary64_24669`
3×	`sqr-pow_binary64_24602` `*-commutative_binary64_24561`
2×	`pow-prod-down_binary64_24701` `pow-sqr_binary64_24603` `pow-prod-up_binary64_24700`
1×	`pow-plus_binary64_24693` `pow2_binary64_24711`

Counts

4 → 111

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
9.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
5.0ms	(.f64 x (pow.f64 (.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y))
2.0ms	(cbrt.f64 (exp.f64 y))

series476.0ms (17%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
115.0ms	(.f64 x (pow.f64 (.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y))
81.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
61.0ms	(cbrt.f64 (exp.f64 y))

simplify93.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4912	1388
1	4912	1388

prune94.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	123	5	128

Error

Counts

128 → 5

Compiler

Compiled 2126 to 576 computations (72.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
0.0b	(*.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y))
0.0b	(sqrt.f64 (exp.f64 y))
0.0b	(.f64 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y)))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_24652`
20×	`add-exp-log_binary64_24668` `associate-r_binary64_24570`
17×	`sqrt-prod_binary64_24646` `*-un-lft-identity_binary64_24630` `unpow-prod-down_binary64_24709` `add-cube-cbrt_binary64_24665`
11×	`add-cbrt-cube_binary64_24666`
10×	`prod-exp_binary64_24679`
9×	`pow1_binary64_24691`
8×	`sqrt-pow1_binary64_24648`
6×	`exp-prod_binary64_24682` `pow-pow_binary64_24702`
4×	`associate-l_binary64_24571` `unswap-sqr_binary64_24598` `sqr-pow_binary64_24602` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669`
3×	`pow-to-exp_binary64_24699` `pow-unpow_binary64_24707` `pow-exp_binary64_24698`
2×	`pow1/2_binary64_24710` `*-commutative_binary64_24561`
1×	`pow-prod-down_binary64_24701` `rem-sqrt-square_binary64_24643` `sqrt-pow2_binary64_24649`

Counts

4 → 97

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
7.0ms	(*.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
2.0ms	(sqrt.f64 (exp.f64 y))

series284.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
74.0ms	(*.f64 x (pow.f64 (sqrt.f64 (exp.f64 y)) y))
26.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
12.0ms	(sqrt.f64 (exp.f64 y))

simplify84.0ms (3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4958	1225
1	4958	1225

prune77.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 1749 to 479 computations (72.6% saved)

regimes169.0ms (6%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Compiler

Compiled 1421 to 848 computations (40.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample761.0ms (27.2%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
94.0ms	4153×	body	128	invalid

Compiler

Compiled 238 to 148 computations (37.8% saved)

Details

analyze205.0ms (7.3%)

sample18.0ms (0.6%)

simplify135.0ms (4.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite13.0ms (0.5%)

series35.0ms (1.2%)

simplify88.0ms (3.1%)

prune26.0ms (0.9%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series60.0ms (2.1%)

simplify51.0ms (1.8%)

prune20.0ms (0.7%)

localize10.0ms (0.4%)

rewrite37.0ms (1.3%)

series476.0ms (17%)

simplify93.0ms (3.3%)

prune94.0ms (3.4%)

localize11.0ms (0.4%)

rewrite30.0ms (1.1%)

series284.0ms (10.1%)

simplify84.0ms (3%)

prune77.0ms (2.7%)

regimes169.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample761.0ms (27.2%)

Profiling