Details

analyze2.9s (5%)

Algorithm

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

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample340.0ms (0.6%)

Algorithm

2×

intervals

Results

27.0ms	512×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 4877 to 5684 computations (-16.5% saved)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune6.0ms (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

25.5b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 z (-.f64 b y)))
0.0b	(*.f64 z (-.f64 t a))
1.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
24.4b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite166.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

25.3b

Rules

24×	`add-sqr-sqrt_binary64_20901`
22×	`*-un-lft-identity_binary64_20879`
20×	`add-cube-cbrt_binary64_20914`
18×	`cancel-sign-sub-inv_binary64_20845`
16×	`associate-+r+_binary64_20811`
12×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
9×	`times-frac_binary64_20885`
8×	`add-exp-log_binary64_20917` `add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915`
6×	`pow1_binary64_20940` `sub-neg_binary64_20872`
5×	`associate-r_binary64_20819`
4×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
3×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `associate-l_binary64_20820`
2×	`associate-/l/_binary64_20826` `associate-/r/_binary64_20825` `sum-log_binary64_20970` `+-commutative_binary64_20809` `associate-*r/_binary64_20821`
1×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `unswap-sqr_binary64_20847` `flip3--_binary64_20883` `flip--_binary64_20854` `difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831` `*-commutative_binary64_20810`

Counts

4 → 99

Calls

4 calls:

8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
4.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

Compiler

Compiled 2713 to 428 computations (84.2% saved)

series2.6s (4.4%)

Error

0.5b

Counts

4 → 110

Calls

4 calls:

1.7s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
396.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
172.0ms	(+.f64 y (*.f64 z (-.f64 b y)))
160.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 9757 to 5482 computations (43.8% saved)

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5063	6365

prune254.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	8	210

Error

0.5b

Counts

210 → 8

Compiler

Compiled 6274 to 1315 computations (79% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

1.9b	(cbrt.f64 (/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y)))))
24.4b	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
24.4b	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
24.4b	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite272.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

36×	`times-frac_binary64_20885`
35×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
15×	`cbrt-prod_binary64_20910`
10×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
9×	`associate-/l_binary64_20824` `associate-/r_binary64_20823`
8×	`associate-/r/_binary64_20825`
7×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
6×	`associate-/l/_binary64_20826`
4×	`pow1_binary64_20940` `add-log-exp_binary64_20918` `div-inv_binary64_20876`
3×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`pow1/3_binary64_20961` `cbrt-div_binary64_20911`

Counts

4 → 117

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
11.0ms	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
11.0ms	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
8.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y)))))

Compiler

Compiled 8549 to 525 computations (93.9% saved)

series25.1s (43.2%)

Error

0.5b

Counts

4 → 168

Calls

4 calls:

19.4s	(cbrt.f64 (/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y)))))
1.5s	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
1.5s	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))
1.5s	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (+.f64 y (*.f64 z (-.f64 b y))))

Compiler

Compiled 60198 to 29472 computations (51% saved)

simplify194.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5045	25808

prune1.0s (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	285	8	293

Error

0.5b

Counts

293 → 8

Compiler

Compiled 28947 to 6508 computations (77.5% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

13.2b	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
13.2b	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
13.2b	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
17.9b	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (.f64 (cbrt.f64 (+.f64 y (.f64 z (-.f64 b y)))) (cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))))

rewrite140.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

18×	`cbrt-div_binary64_20911`
10×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
9×	`add-exp-log_binary64_20917` `add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879` `cbrt-prod_binary64_20910`
8×	`associate-/r/_binary64_20825`
7×	`add-cbrt-cube_binary64_20915`
4×	`pow1_binary64_20940` `add-log-exp_binary64_20918` `frac-times_binary64_20889`
3×	`times-frac_binary64_20885` `associate-/l*_binary64_20824` `pow1/3_binary64_20961`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `associate-/l/_binary64_20826` `associate-l/_binary64_20822` `associate-r/_binary64_20821`
1×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/r*_binary64_20823`

Counts

4 → 70

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (.f64 (cbrt.f64 (+.f64 y (.f64 z (-.f64 b y)))) (cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))

Compiler

Compiled 3587 to 353 computations (90.2% saved)

series16.7s (28.7%)

Error

0.3b

Counts

4 → 102

Calls

4 calls:

14.2s	(/.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)) (.f64 (cbrt.f64 (+.f64 y (.f64 z (-.f64 b y)))) (cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))))
593.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
577.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))
558.0ms	(cbrt.f64 (+.f64 y (*.f64 z (-.f64 b y))))

Compiler

Compiled 37230 to 26712 computations (28.3% saved)

simplify161.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	16348
1	4966	16348

prune829.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	171	9	180

Error

0.3b

Counts

180 → 9

Compiler

Compiled 14841 to 6813 computations (54.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 t a) (-.f64 b y))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

37×	`add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
25×	`times-frac_binary64_20885`
13×	`add-cube-cbrt_binary64_20914`
12×	`difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
5×	`associate-/l_binary64_20824` `associate-/r_binary64_20823`
3×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
2×	`flip3--_binary64_20883` `associate-/l/_binary64_20826` `flip--_binary64_20854` `associate-/r/_binary64_20825`
1×	`pow1_binary64_20940` `div-exp_binary64_20930` `add-log-exp_binary64_20918` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `div-sub_binary64_20884` `clear-num_binary64_20878` `div-inv_binary64_20876`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/.f64 (-.f64 t a) (-.f64 b y))

Compiler

Compiled 844 to 198 computations (76.5% saved)

series369.0ms (0.6%)

Error

0.3b

Counts

1 → 27

Calls

1 calls:

347.0ms

(/.f64 (-.f64 t a) (-.f64 b y))

Compiler

Compiled 1194 to 837 computations (29.9% saved)

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5832	1415

prune59.0ms (0.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	78	10	88

Error

0.3b

Counts

88 → 10

Compiler

Compiled 1081 to 179 computations (83.4% saved)

regimes4.2s (7.2%)

Accuracy

Total 7.2b remaining (85.4%)

Threshold costs 0b (0%)

Compiler

Compiled 23822 to 15155 computations (36.4% saved)

bsearch8.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	113	225
1	113	225

end0.0ms (0%)

sample2.5s (4.3%)

Algorithm

1×

intervals

Results

410.0ms	8000×	body	128	valid
24.0ms	433×	body	128	invalid

Compiler

Compiled 2919 to 1823 computations (37.5% saved)

Details

analyze2.9s (5%)

sample340.0ms (0.6%)

simplify93.0ms (0.2%)

prune6.0ms (0%)

localize12.0ms (0%)

rewrite166.0ms (0.3%)

series2.6s (4.4%)

simplify68.0ms (0.1%)

prune254.0ms (0.4%)

localize21.0ms (0%)

rewrite272.0ms (0.5%)

series25.1s (43.2%)

simplify194.0ms (0.3%)

prune1.0s (1.8%)

localize17.0ms (0%)

rewrite140.0ms (0.2%)

series16.7s (28.7%)

simplify161.0ms (0.3%)

prune829.0ms (1.4%)

localize6.0ms (0%)

rewrite57.0ms (0.1%)

series369.0ms (0.6%)

simplify66.0ms (0.1%)

prune59.0ms (0.1%)

regimes4.2s (7.2%)

bsearch8.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.5s (4.3%)

Profiling