Details

analyze1.3s (12.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4870	176
1	4870	176
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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify162.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

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

2.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite144.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_15445`
71×	`*-un-lft-identity_binary64_15423`
51×	`times-frac_binary64_15429`
31×	`associate-r_binary64_15363`
27×	`add-cube-cbrt_binary64_15458`
22×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `associate-/l_binary64_15368` `associate-/r_binary64_15367`
4×	`associate-/r/_binary64_15369`
3×	`associate-l_binary64_15364` `flip3--_binary64_15427` `flip--_binary64_15398`
2×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `cbrt-undiv_binary64_15457` `unswap-sqr_binary64_15391` `div-inv_binary64_15420` `associate-/l/_binary64_15370`
1×	`pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `-commutative_binary64_15354` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
11.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.1s (10.1%)

Error

0.0b

Counts

3 → 85

Calls

3 calls:

506.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
267.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
234.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 3997 to 2383 computations (40.4% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4973	4123
1	4973	4123

prune171.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Error

Counts

199 → 5

Compiler

Compiled 3834 to 727 computations (81% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
6.0b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a)))

rewrite213.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
46×	`associate-r_binary64_15363`
40×	`times-frac_binary64_15429` `cbrt-prod_binary64_15454`
30×	`cbrt-div_binary64_15455`
26×	`add-cube-cbrt_binary64_15458`
25×	`add-exp-log_binary64_15461`
21×	`associate-*r/_binary64_15365`
18×	`add-cbrt-cube_binary64_15459`
16×	`flip3--_binary64_15427` `frac-times_binary64_15433` `flip--_binary64_15398` `difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
13×	`pow1_binary64_15484`
12×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `associate-*l/_binary64_15366`
6×	`pow-prod-down_binary64_15494`
4×	`add-log-exp_binary64_15462`
3×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `pow1/3_binary64_15505`
2×	`associate-/r/_binary64_15369`
1×	`associate-l_binary64_15364` `div-inv_binary64_15420` `*-commutative_binary64_15354`

Counts

4 → 132

Calls

4 calls:

41.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a)))
6.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 4421 to 783 computations (82.3% saved)

series730.0ms (6.8%)

Error

Counts

4 → 49

Calls

4 calls:

397.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 z a)))
102.0ms	(cbrt.f64 (-.f64 z t))
94.0ms	(cbrt.f64 (-.f64 z t))
82.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 3431 to 2242 computations (34.7% saved)

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5096	3985

prune177.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	181	5	186

Error

Counts

186 → 5

Compiler

Compiled 4882 to 923 computations (81.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a))))
0.0b	(/.f64 1 (-.f64 z a))
9.3b	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a)))

rewrite141.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
30×	`times-frac_binary64_15429`
29×	`add-exp-log_binary64_15461`
22×	`add-cube-cbrt_binary64_15458`
21×	`associate-r_binary64_15363`
17×	`add-cbrt-cube_binary64_15459`
12×	`prod-exp_binary64_15472`
9×	`pow1_binary64_15484`
7×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
6×	`div-exp_binary64_15474` `cbrt-unprod_binary64_15456` `associate-*l/_binary64_15366`
5×	`add-log-exp_binary64_15462` `associate-/r*_binary64_15367`
4×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-/r/_binary64_15369`
3×	`pow-prod-down_binary64_15494` `1-exp_binary64_15467` `rec-exp_binary64_15473` `cbrt-undiv_binary64_15457` `associate-/l*_binary64_15368`
2×	`frac-times_binary64_15433` `div-inv_binary64_15420`
1×	`un-div-inv_binary64_15421` `associate-r/_binary64_15365` `associate-l_binary64_15364` `-commutative_binary64_15354` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

3 → 102

Calls

3 calls:

18.0ms	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a)))
6.0ms	(/.f64 1 (-.f64 z a))
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a))))

Compiler

Compiled 2230 to 874 computations (60.8% saved)

series972.0ms (9.1%)

Error

Counts

3 → 82

Calls

3 calls:

502.0ms	(+.f64 x (.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a))))
256.0ms	(.f64 (.f64 (-.f64 z t) y) (/.f64 1 (-.f64 z a)))
93.0ms	(/.f64 1 (-.f64 z a))

Compiler

Compiled 3789 to 2287 computations (39.6% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5075	3466

prune163.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	184	5	189

Error

Counts

189 → 5

Compiler

Compiled 3441 to 904 computations (73.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(cbrt.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
9.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
9.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
9.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

rewrite196.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
20×	`times-frac_binary64_15429`
19×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
15×	`associate-/r*_binary64_15367`
12×	`add-cube-cbrt_binary64_15458`
11×	`cbrt-prod_binary64_15454`
8×	`associate-/r/_binary64_15369`
7×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375` `flip3--_binary64_15427` `flip--_binary64_15398`
6×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-*l/_binary64_15366` `associate-/l/_binary64_15370`
4×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `div-inv_binary64_15420`
3×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/l*_binary64_15368`
1×	`pow1/3_binary64_15505` `cbrt-div_binary64_15455`

Counts

4 → 107

Calls

4 calls:

10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
8.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))

Compiler

Compiled 4487 to 573 computations (87.2% saved)

series1.7s (15.7%)

Error

Counts

4 → 96

Calls

4 calls:

619.0ms	(cbrt.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
305.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
300.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
271.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

Compiler

Compiled 11385 to 4944 computations (56.6% saved)

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5350	4547

prune227.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	203	5	208

Error

Counts

208 → 5

Compiler

Compiled 8458 to 1118 computations (86.8% saved)

regimes791.0ms (7.4%)

Accuracy

Total 0.6b remaining (99.6%)

Threshold costs 0.6b (99.6%)

Compiler

Compiled 6870 to 5207 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	52
1	38	52

end0.0ms (0%)

sample2.0s (18.6%)

Algorithm

1×

intervals

Results

625.0ms	7998×	body	128	valid
29.0ms	711×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 876 to 658 computations (24.9% saved)

Details

analyze1.3s (12.2%)

sample26.0ms (0.2%)

simplify162.0ms (1.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite144.0ms (1.3%)

series1.1s (10.1%)

simplify107.0ms (1%)

prune171.0ms (1.6%)

localize13.0ms (0.1%)

rewrite213.0ms (2%)

series730.0ms (6.8%)

simplify134.0ms (1.3%)

prune177.0ms (1.7%)

localize14.0ms (0.1%)

rewrite141.0ms (1.3%)

series972.0ms (9.1%)

simplify93.0ms (0.9%)

prune163.0ms (1.5%)

localize21.0ms (0.2%)

rewrite196.0ms (1.8%)

series1.7s (15.7%)

simplify129.0ms (1.2%)

prune227.0ms (2.1%)

regimes791.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (18.6%)

Profiling