Details

analyze1.2s (5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5349	384
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
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample150.0ms (0.6%)

Algorithm

1×

intervals

Results

44.0ms	494×	body	128	nan
25.0ms	256×	body	128	valid
22.0ms	234×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5001	24

prune5.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
1.0b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.2b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite189.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

26×	`add-sqr-sqrt_binary64_13740`
21×	`*-un-lft-identity_binary64_13718`
16×	`add-cube-cbrt_binary64_13753`
13×	`add-cbrt-cube_binary64_13754`
12×	`add-exp-log_binary64_13756` `log-prod_binary64_13804`
10×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `associate-l_binary64_13659`
8×	`associate-r_binary64_13658`
6×	`distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
5×	`exp-prod_binary64_13770` `exp-sum_binary64_13764`
3×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `times-frac_binary64_13724` `associate-/r*_binary64_13662` `difference-of-squares_binary64_13687` `cancel-sign-sub-inv_binary64_13684` `rem-exp-log_binary64_13758`
2×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `exp-diff_binary64_13766` `distribute-lft-out--_binary64_13670` `diff-log_binary64_13810` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `log-pow_binary64_13807` `-commutative_binary64_13649` `associate-l/_binary64_13661`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `associate-r/_binary64_13660` `associate-/l/_binary64_13665` `associate-/l_binary64_13663` `sub-neg_binary64_13711` `associate--l+_binary64_13655` `sum-log_binary64_13809` `flip3--_binary64_13722` `flip--_binary64_13693` `difference-of-sqr-1_binary64_13688`

Counts

4 → 99

Calls

4 calls:

15.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 2549 to 1233 computations (51.6% saved)

series1.9s (8%)

Error

0.3b

Counts

4 → 56

Calls

4 calls:

1.0s	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
498.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
181.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
153.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 3662 to 2162 computations (41% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5050	2838

prune177.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	152	5	157

Error

0.0b

Counts

157 → 5

Compiler

Compiled 3439 to 1295 computations (62.3% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))

0.0b

(*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))

1.2b

(/.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))) y)

rewrite289.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

166×	`add-exp-log_binary64_13756`
90×	`div-exp_binary64_13769`
82×	`prod-exp_binary64_13767` `add-sqr-sqrt_binary64_13740`
69×	`times-frac_binary64_13724`
58×	`add-cbrt-cube_binary64_13754`
34×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
28×	`associate-l_binary64_13659`
26×	`associate-r_binary64_13658` `unpow-prod-down_binary64_13797`
24×	`pow-to-exp_binary64_13787` `pow-exp_binary64_13786`
22×	`cbrt-unprod_binary64_13751`
18×	`cbrt-undiv_binary64_13752`
16×	`unswap-sqr_binary64_13686`
14×	`sqr-pow_binary64_13690`
10×	`pow1_binary64_13779`
9×	`associate-*r/_binary64_13660`
4×	`pow-prod-down_binary64_13789`
3×	`add-log-exp_binary64_13757` `div-inv_binary64_13715` `frac-times_binary64_13728` `associate-/l/_binary64_13665` `associate-l/_binary64_13661` `associate-/r_binary64_13662`
2×	`*-commutative_binary64_13649`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `associate-/l*_binary64_13663`

Counts

3 → 181

Calls

3 calls:

32.0ms

(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))

18.0ms

(/.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))) y)

15.0ms

(*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))

Compiler

Compiled 4761 to 837 computations (82.4% saved)

series3.7s (15.2%)

Error

Counts

3 → 66

Calls

3 calls:

1.4s

(*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))

1.3s

(/.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))) y)

894.0ms

(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))

Compiler

Compiled 4361 to 2481 computations (43.1% saved)

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5071	6392

prune204.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	247	5	252

Error

Counts

252 → 5

Compiler

Compiled 5602 to 1068 computations (80.9% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 a (exp.f64 b))

0.0b

(/.f64 1 (/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))))

1.2b

(/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))

rewrite346.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

407×	`add-exp-log_binary64_13756`
228×	`div-exp_binary64_13769`
197×	`prod-exp_binary64_13767`
151×	`times-frac_binary64_13724`
74×	`add-sqr-sqrt_binary64_13740`
72×	`add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
48×	`pow-to-exp_binary64_13787` `pow-exp_binary64_13786`
34×	`cbrt-undiv_binary64_13752`
25×	`associate-/r*_binary64_13662`
24×	`1-exp_binary64_13762` `rec-exp_binary64_13768`
22×	`div-inv_binary64_13715`
19×	`cbrt-unprod_binary64_13751`
6×	`pow1_binary64_13779` `associate-/r/_binary64_13664` `associate-/l*_binary64_13663`
3×	`add-log-exp_binary64_13757` `associate-l_binary64_13659` `associate-r_binary64_13658`
2×	`frac-2neg_binary64_13729` `clear-num_binary64_13717`
1×	`inv-pow_binary64_13803` `pow-flip_binary64_13792` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `*-commutative_binary64_13649`

Counts

3 → 258

Calls

3 calls:

27.0ms

(/.f64 1 (/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))))

19.0ms

(/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))

6.0ms

(*.f64 a (exp.f64 b))

Compiler

Compiled 7706 to 1408 computations (81.7% saved)

series3.0s (12.3%)

Error

Counts

3 → 59

Calls

3 calls:

1.5s

(/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b))))

1.4s

(/.f64 1 (/.f64 y (/.f64 (*.f64 x (*.f64 (pow.f64 z y) (pow.f64 a t))) (*.f64 a (exp.f64 b)))))

59.0ms

(*.f64 a (exp.f64 b))

Compiler

Compiled 4097 to 2315 computations (43.5% saved)

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5098	9906

prune295.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	317	5	322

Error

Counts

322 → 5

Compiler

Compiled 7889 to 1298 computations (83.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))
0.1b	(pow.f64 a (+.f64 t -1))
1.5b	(/.f64 (/.f64 y x) (pow.f64 z y))
5.5b	(*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))

rewrite913.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

401×	`times-frac_binary64_13724`
358×	`add-exp-log_binary64_13756`
295×	`div-exp_binary64_13769`
282×	`add-sqr-sqrt_binary64_13740`
185×	`*-un-lft-identity_binary64_13718`
183×	`add-cube-cbrt_binary64_13753`
112×	`prod-exp_binary64_13767`
108×	`unpow-prod-down_binary64_13797`
95×	`associate-l_binary64_13659`
63×	`pow-to-exp_binary64_13787` `pow-exp_binary64_13786`
59×	`add-cbrt-cube_binary64_13754`
46×	`sqr-pow_binary64_13690`
29×	`1-exp_binary64_13762` `rec-exp_binary64_13768`
28×	`cbrt-undiv_binary64_13752` `unswap-sqr_binary64_13686` `associate-r_binary64_13658`
19×	`div-inv_binary64_13715`
16×	`associate-/l*_binary64_13663`
12×	`cbrt-unprod_binary64_13751`
10×	`pow1_binary64_13779`
8×	`associate-/r*_binary64_13662`
5×	`pow-unpow_binary64_13795`
4×	`add-log-exp_binary64_13757` `unpow-prod-up_binary64_13796`
3×	`associate-/r/_binary64_13664`
2×	`pow-prod-down_binary64_13789` `frac-times_binary64_13728` `associate-l/_binary64_13661` `associate-r/_binary64_13660` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `pow-flip_binary64_13792`
1×	`*-commutative_binary64_13649` `associate-/l/_binary64_13665` `difference-of-sqr--1_binary64_13689` `distribute-lft-out_binary64_13669` `pow-pow_binary64_13790` `inv-pow_binary64_13803`

Counts

4 → 464

Calls

4 calls:

90.0ms	(*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
24.0ms	(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))
12.0ms	(/.f64 (/.f64 y x) (pow.f64 z y))
5.0ms	(pow.f64 a (+.f64 t -1))

Compiler

Compiled 13552 to 5287 computations (61% saved)

series3.3s (13.6%)

Error

Counts

4 → 71

Calls

4 calls:

1.4s	(*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
1.3s	(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))
366.0ms	(/.f64 (/.f64 y x) (pow.f64 z y))
126.0ms	(pow.f64 a (+.f64 t -1))

Compiler

Compiled 4979 to 3391 computations (31.9% saved)

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

535 → 535

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5239	14994

prune810.0ms (3.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	535	0	535
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	535	5	540

Error

Counts

540 → 5

Compiler

Compiled 14239 to 5640 computations (60.4% saved)

regimes1.2s (5.1%)

Accuracy

Total 1.9b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 12593 to 10057 computations (20.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	28
1	43	28

end0.0ms (0%)

sample5.7s (23.5%)

Algorithm

1×

intervals

Results

1.3s	14322×	body	128	nan
818.0ms	8000×	body	128	valid
731.0ms	7211×	body	128	invalid

Compiler

Compiled 1224 to 971 computations (20.7% saved)

Details

analyze1.2s (5%)

sample150.0ms (0.6%)

simplify88.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite189.0ms (0.8%)

series1.9s (8%)

simplify95.0ms (0.4%)

prune177.0ms (0.7%)

localize27.0ms (0.1%)

rewrite289.0ms (1.2%)

series3.7s (15.2%)

simplify121.0ms (0.5%)

prune204.0ms (0.8%)

localize17.0ms (0.1%)

rewrite346.0ms (1.4%)

series3.0s (12.3%)

simplify160.0ms (0.7%)

prune295.0ms (1.2%)

localize17.0ms (0.1%)

rewrite913.0ms (3.8%)

series3.3s (13.6%)

simplify210.0ms (0.9%)

prune810.0ms (3.4%)

regimes1.2s (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.7s (23.5%)

Profiling