Details

analyze311.0ms (10.3%)

Algorithm

1×

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
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify94.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

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

5.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

9.6b	(/.f64 (*.f64 y y) z)
9.6b	(/.f64 (*.f64 y y) z)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
3×	`times-frac_binary64_24636` `-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665` `add-sqr-sqrt_binary64_24652` `associate-/r_binary64_24574`
2×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664`
1×	`prod-exp_binary64_24679` `associate-/l*_binary64_24575` `frac-2neg_binary64_24641` `pow1_binary64_24691` `div-inv_binary64_24627` `clear-num_binary64_24629` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669`

Counts

1 → 21

Calls

2 calls:

5.0ms	(/.f64 (*.f64 y y) z)
0.0ms	(/.f64 (*.f64 y y) z)

series74.0ms (2.5%)

Counts

1 → 6

Calls

1 calls:

74.0ms

(/.f64 (*.f64 y y) z)

Compiler

Compiled 84 to 84 computations (0% saved)

simplify89.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4859	240
1	4859	240

prune30.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Compiler

Compiled 275 to 83 computations (69.8% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 z y))
0.2b	(/.f64 y (/.f64 z y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_24636`
43×	`*-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665` `add-sqr-sqrt_binary64_24652`
13×	`associate-/r*_binary64_24574`
6×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
5×	`div-inv_binary64_24627`
3×	`div-exp_binary64_24681` `associate-/l*_binary64_24575` `cbrt-undiv_binary64_24664`
1×	`frac-2neg_binary64_24641` `pow1_binary64_24691` `clear-num_binary64_24629` `add-log-exp_binary64_24669` `associate-/r/_binary64_24576`

Counts

1 → 70

Calls

2 calls:

6.0ms	(/.f64 y (/.f64 z y))
0.0ms	(/.f64 y (/.f64 z y))

series65.0ms (2.2%)

Counts

1 → 6

Calls

1 calls:

65.0ms

(/.f64 y (/.f64 z y))

Compiler

Compiled 84 to 84 computations (0% saved)

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4907	1068
1	4907	1068

prune51.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Error

Counts

79 → 4

Compiler

Compiled 1026 to 326 computations (68.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 y (/.f64 y z))
0.2b	(*.f64 y (/.f64 y z))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_24652`
13×	`associate-r_binary64_24570`
10×	`times-frac_binary64_24636`
9×	`*-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665`
6×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
3×	`associate-l_binary64_24571` `pow1_binary64_24691`
2×	`prod-exp_binary64_24679` `unswap-sqr_binary64_24598` `cbrt-unprod_binary64_24663`
1×	`div-exp_binary64_24681` `pow-prod-down_binary64_24701` `div-inv_binary64_24627` `-commutative_binary64_24561` `associate-r/_binary64_24572` `cbrt-undiv_binary64_24664` `add-log-exp_binary64_24669`

Counts

1 → 32

Calls

2 calls:

7.0ms	(*.f64 y (/.f64 y z))
0.0ms	(*.f64 y (/.f64 y z))

series68.0ms (2.3%)

Counts

1 → 6

Calls

1 calls:

68.0ms

(*.f64 y (/.f64 y z))

Compiler

Compiled 84 to 84 computations (0% saved)

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4924	347
1	4924	347

prune21.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

Counts

42 → 4

Compiler

Compiled 440 to 127 computations (71.1% saved)

localize11.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.7b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
0.5b	(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y)))
0.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y)))) (/.f64 y (cbrt.f64 (/.f64 z y))))
0.2b	(/.f64 y (cbrt.f64 (/.f64 z y)))
0.7b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
11.2b	(cbrt.f64 (/.f64 z y))
11.2b	(cbrt.f64 (/.f64 z y))
11.2b	(cbrt.f64 (/.f64 z y))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_24661`
30×	`times-frac_binary64_24636`
27×	`*-un-lft-identity_binary64_24630` `add-cube-cbrt_binary64_24665` `add-sqr-sqrt_binary64_24652`
15×	`add-exp-log_binary64_24668`
12×	`pow1_binary64_24691`
9×	`pow-flip_binary64_24704` `pow1/3_binary64_24712`
7×	`add-cbrt-cube_binary64_24666` `cbrt-div_binary64_24662`
4×	`div-exp_binary64_24681` `div-inv_binary64_24627` `add-log-exp_binary64_24669`
3×	`prod-exp_binary64_24679` `associate-/l*_binary64_24575` `associate-/r/_binary64_24576`
2×	`1-exp_binary64_24674` `pow-prod-down_binary64_24701` `pow-sqr_binary64_24603` `rec-exp_binary64_24680` `cbrt-undiv_binary64_24664` `pow-prod-up_binary64_24700`
1×	`pow-plus_binary64_24693` `frac-2neg_binary64_24641` `frac-times_binary64_24640` `inv-pow_binary64_24715` `associate-l/_binary64_24573` `clear-num_binary64_24629` `associate-/r_binary64_24574` `associate-*r/_binary64_24572` `cbrt-unprod_binary64_24663` `pow2_binary64_24711`

Counts

4 → 104

Calls

8 calls:

10.0ms	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
6.0ms	(cbrt.f64 (/.f64 z y))
3.0ms	(cbrt.f64 (/.f64 z y))
2.0ms	(cbrt.f64 (/.f64 z y))
0.0ms	(/.f64 y (cbrt.f64 (/.f64 z y)))

series886.0ms (29.4%)

Counts

4 → 24

Calls

4 calls:

301.0ms	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
203.0ms	(cbrt.f64 (/.f64 z y))
197.0ms	(cbrt.f64 (/.f64 z y))
186.0ms	(cbrt.f64 (/.f64 z y))

Compiler

Compiled 1284 to 996 computations (22.4% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5104	1345

prune107.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	4	132

Error

Counts

132 → 4

Compiler

Compiled 2852 to 863 computations (69.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	185
1	61	185

regimes155.0ms (5.1%)

Compiler: Compiled 919 to 734 computations (20.1% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.9%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

Accuracy

Total 0.1b remaining (91.5%)

Threshold costs 0.1b (91.5%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 9 to 14 computations (-55.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms (0%)

sample662.0ms (21.9%)

Algorithm

1×

intervals

Results

218.0ms	8000×	body	128	valid
28.0ms	929×	body	128	invalid

Compiler

Compiled 149 to 123 computations (17.4% saved)

Pareto

0.0

Details

analyze311.0ms (10.3%)

sample16.0ms (0.5%)

simplify94.0ms (3.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series74.0ms (2.5%)

simplify89.0ms (2.9%)

prune30.0ms (1%)

localize8.0ms (0.3%)

rewrite12.0ms (0.4%)

series65.0ms (2.2%)

simplify90.0ms (3%)

prune51.0ms (1.7%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series68.0ms (2.3%)

simplify76.0ms (2.5%)

prune21.0ms (0.7%)

localize11.0ms (0.4%)

rewrite30.0ms (1%)

series886.0ms (29.4%)

simplify74.0ms (2.4%)

prune107.0ms (3.6%)

simplify4.0ms (0.1%)

regimes155.0ms (5.1%)

bsearch0.0ms (0%)

regimes26.0ms (0.9%)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample662.0ms (21.9%)

Profiling