Details

analyze1.9s (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4900	400
1	4900	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample50.0ms (0.2%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
2.0ms	20×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune3.0ms (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

22.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(*.f64 z (-.f64 b y))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
22.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite198.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

22.6b

Rules

30×	`add-sqr-sqrt_binary64_17491`
26×	`*-un-lft-identity_binary64_17469`
22×	`add-cube-cbrt_binary64_17504`
18×	`cancel-sign-sub-inv_binary64_17435`
12×	`distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
10×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `associate-r_binary64_17409`
9×	`times-frac_binary64_17475`
8×	`pow1_binary64_17530` `associate-+r+_binary64_17401`
6×	`add-log-exp_binary64_17508` `sub-neg_binary64_17462` `associate-l_binary64_17410`
4×	`associate-*r/_binary64_17411`
3×	`flip3-+_binary64_17472` `flip-+_binary64_17443` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`associate-/l/_binary64_17416` `associate-/r/_binary64_17415` `pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `unswap-sqr_binary64_17437` `flip3--_binary64_17473` `flip--_binary64_17444` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421` `*-commutative_binary64_17400`
1×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `div-inv_binary64_17466` `sum-log_binary64_17560` `+-commutative_binary64_17399`

Counts

4 → 110

Calls

4 calls:

14.0ms	(*.f64 z (-.f64 t a))
10.0ms	(*.f64 z (-.f64 b y))
8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

Compiler

Compiled 2937 to 511 computations (82.6% saved)

series2.0s (9.5%)

Error

1.5b

Counts

4 → 104

Calls

4 calls:

1.4s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
288.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
129.0ms	(*.f64 z (-.f64 t a))
109.0ms	(*.f64 z (-.f64 b y))

Compiler

Compiled 8892 to 4938 computations (44.5% saved)

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5184	5696

prune257.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	206	8	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	8	215

Error

0.5b

Counts

215 → 8

Compiler

Compiled 6032 to 1171 computations (80.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.5b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.5b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite175.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

37×	`add-sqr-sqrt_binary64_17491`
29×	`*-un-lft-identity_binary64_17469`
26×	`add-cube-cbrt_binary64_17504`
20×	`times-frac_binary64_17475` `associate-r_binary64_17409`
19×	`add-exp-log_binary64_17507`
13×	`add-cbrt-cube_binary64_17505`
12×	`cancel-sign-sub-inv_binary64_17435`
9×	`pow1_binary64_17530`
8×	`distribute-rgt-in_binary64_17419` `associate-+r+_binary64_17401` `distribute-lft-in_binary64_17418`
6×	`add-log-exp_binary64_17508` `associate-l_binary64_17410`
5×	`prod-exp_binary64_17518` `flip3-+_binary64_17472` `flip-+_binary64_17443`
4×	`div-exp_binary64_17520` `unswap-sqr_binary64_17437` `associate-/r/_binary64_17415` `sub-neg_binary64_17462`
3×	`cbrt-unprod_binary64_17502` `associate-r/_binary64_17411` `associate-/l_binary64_17414` `associate-/r*_binary64_17413`
2×	`pow-prod-down_binary64_17540` `1-exp_binary64_17513` `rec-exp_binary64_17519` `cbrt-undiv_binary64_17503` `frac-times_binary64_17479` `associate-l/_binary64_17412` `div-inv_binary64_17466` `-commutative_binary64_17400`
1×	`un-div-inv_binary64_17467` `sum-log_binary64_17560` `+-commutative_binary64_17399` `inv-pow_binary64_17554` `pow-flip_binary64_17543` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `flip3--_binary64_17473` `flip--_binary64_17444` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421`

Counts

4 → 124

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
8.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))

Compiler

Compiled 3675 to 880 computations (76.1% saved)

series2.2s (10%)

Error

0.5b

Counts

4 → 116

Calls

4 calls:

1.3s	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
284.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
252.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
117.0ms	(*.f64 z (-.f64 b y))

Compiler

Compiled 10896 to 6445 computations (40.8% saved)

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5106	7148

prune285.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	240	8	248

Error

0.5b

Counts

248 → 8

Compiler

Compiled 7413 to 1846 computations (75.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
22.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))

rewrite115.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

16×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
9×	`times-frac_binary64_17475`
8×	`associate-+r+_binary64_17401`
6×	`add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505` `cancel-sign-sub-inv_binary64_17435` `cbrt-prod_binary64_17500`
4×	`pow1_binary64_17530` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
3×	`flip3-+_binary64_17472` `flip-+_binary64_17443` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`associate-/l/_binary64_17416` `associate-/r/_binary64_17415` `sub-neg_binary64_17462` `pow1/3_binary64_17551`
1×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `div-inv_binary64_17466` `sum-log_binary64_17560` `+-commutative_binary64_17399`

Counts

4 → 72

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2679 to 330 computations (87.7% saved)

series2.1s (9.9%)

Error

0.5b

Counts

4 → 80

Calls

4 calls:

1.5s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 b y) (cbrt.f64 z)))))
304.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
101.0ms	(cbrt.f64 z)
79.0ms	(cbrt.f64 z)

Compiler

Compiled 9023 to 5197 computations (42.4% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5025	5105

prune167.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	152	8	160

Error

0.0b

Counts

160 → 8

Compiler

Compiled 5306 to 1038 computations (80.4% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.5b	(/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2))
7.7b	(*.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2))
11.9b	(*.f64 (/.f64 y z) (+.f64 (/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2)) (/.f64 x (+.f64 (neg.f64 b) y))))
12.3b	(/.f64 (.f64 a y) (.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2)))

rewrite450.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

70×	`*-un-lft-identity_binary64_17469`
47×	`times-frac_binary64_17475`
45×	`add-sqr-sqrt_binary64_17491`
43×	`add-exp-log_binary64_17507`
34×	`add-cube-cbrt_binary64_17504`
26×	`unpow-prod-down_binary64_17548`
25×	`add-cbrt-cube_binary64_17505`
17×	`associate-r_binary64_17409`
16×	`associate-l_binary64_17410` `distribute-lft-out_binary64_17420`
15×	`prod-exp_binary64_17518`
12×	`div-exp_binary64_17520`
11×	`associate-/r*_binary64_17413`
7×	`cbrt-unprod_binary64_17502`
6×	`pow1_binary64_17530` `cbrt-undiv_binary64_17503` `unswap-sqr_binary64_17437` `distribute-rgt-neg-in_binary64_17427` `unpow2_binary64_17534` `sqr-pow_binary64_17441`
4×	`pow-to-exp_binary64_17538` `pow-exp_binary64_17537` `add-log-exp_binary64_17508` `associate-/l*_binary64_17414`
3×	`div-inv_binary64_17466` `frac-times_binary64_17479` `associate-*r/_binary64_17411`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `frac-add_binary64_17477` `flip3-+_binary64_17472` `flip-+_binary64_17443` `*-commutative_binary64_17400`
1×	`pow-prod-down_binary64_17540` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `associate-*l/_binary64_17412`

Counts

4 → 155

Calls

4 calls:

84.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2)) (/.f64 x (+.f64 (neg.f64 b) y))))
17.0ms	(*.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2))
14.0ms	(/.f64 (.f64 a y) (.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2)))
10.0ms	(/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2))

Compiler

Compiled 7979 to 2438 computations (69.4% saved)

series1.8s (8.1%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

836.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2)) (/.f64 x (+.f64 (neg.f64 b) y))))
392.0ms	(/.f64 (.f64 a y) (.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2)))
254.0ms	(*.f64 z (pow.f64 (+.f64 (neg.f64 b) y) 2))
165.0ms	(/.f64 t (pow.f64 (+.f64 (neg.f64 b) y) 2))

Compiler

Compiled 8381 to 4408 computations (47.4% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5270	4176

prune412.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	226	9	235

Error

0.0b

Counts

235 → 9

Compiler

Compiled 10060 to 2904 computations (71.1% saved)

regimes5.2s (23.9%)

Accuracy

Total 7.3b remaining (97.6%)

Threshold costs 0b (0%)

Compiler

Compiled 27609 to 17250 computations (37.5% saved)

bsearch7.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	207	402
1	207	402

end0.0ms (0%)

sample3.8s (17.5%)

Algorithm

1×

intervals

Results

499.0ms	8000×	body	128	valid
24.0ms	424×	body	128	invalid

Compiler

Compiled 3504 to 2109 computations (39.8% saved)

Details

analyze1.9s (8.6%)

sample50.0ms (0.2%)

simplify107.0ms (0.5%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite198.0ms (0.9%)

series2.0s (9.5%)

simplify83.0ms (0.4%)

prune257.0ms (1.2%)

localize13.0ms (0.1%)

rewrite175.0ms (0.8%)

series2.2s (10%)

simplify98.0ms (0.5%)

prune285.0ms (1.3%)

localize33.0ms (0.2%)

rewrite115.0ms (0.5%)

series2.1s (9.9%)

simplify96.0ms (0.4%)

prune167.0ms (0.8%)

localize44.0ms (0.2%)

rewrite450.0ms (2.1%)

series1.8s (8.1%)

simplify96.0ms (0.4%)

prune412.0ms (1.9%)

regimes5.2s (23.9%)

bsearch7.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample3.8s (17.5%)

Profiling