Details

analyze897.0ms (7.9%)

Algorithm

1×

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)

sample118.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	442×	body	128	nan
23.0ms	256×	body	128	valid
22.0ms	250×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4972	24
1	4972	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

Merged error: 0.1b

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))
0.2b	(*.f64 y (log.f64 z))
0.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
1.0b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_5153`
20×	`*-un-lft-identity_binary64_5132`
15×	`add-cube-cbrt_binary64_5164`
13×	`add-cbrt-cube_binary64_5165`
12×	`log-prod_binary64_5215` `add-exp-log_binary64_5167`
10×	`associate-l_binary64_5075` `add-log-exp_binary64_5168` `pow1_binary64_5190`
8×	`associate-r_binary64_5074`
6×	`distribute-lft-in_binary64_5083` `distribute-rgt-in_binary64_5084`
5×	`exp-prod_binary64_5181`
3×	`prod-exp_binary64_5178` `rem-exp-log_binary64_5169` `difference-of-squares_binary64_5101` `times-frac_binary64_5138` `cbrt-unprod_binary64_5162` `associate-/r*_binary64_5078`
2×	`cbrt-undiv_binary64_5163` `unswap-sqr_binary64_5100` `-commutative_binary64_5065` `exp-diff_binary64_5177` `associate-l/_binary64_5077` `distribute-lft-out--_binary64_5086` `div-exp_binary64_5180` `log-pow_binary64_5218` `exp-sum_binary64_5175` `pow-prod-down_binary64_5200` `diff-log_binary64_5221`
1×	`flip3--_binary64_5136` `sub-neg_binary64_5125` `associate-/l_binary64_5079` `frac-2neg_binary64_5143` `associate-/l/_binary64_5081` `associate-r/_binary64_5076` `flip--_binary64_5107` `sum-log_binary64_5220` `difference-of-sqr-1_binary64_5102` `associate--l+_binary64_5071` `clear-num_binary64_5131` `div-inv_binary64_5129`

Counts

4 → 96

Calls

4 calls:

13.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
12.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
9.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series796.0ms (7%)

Counts

4 → 12

Calls

4 calls:

418.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
259.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
67.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
52.0ms	(*.f64 y (log.f64 z))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4983	1773
1	4983	1773

prune131.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	9	110

Merged error: 0.0b

Counts

110 → 9

Compiler

Compiled 2637 to 1353 computations (48.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.6b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
1.0b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_5153`
21×	`add-exp-log_binary64_5167` `*-un-lft-identity_binary64_5132`
16×	`add-cube-cbrt_binary64_5164`
13×	`add-cbrt-cube_binary64_5165`
12×	`log-prod_binary64_5215`
11×	`pow1_binary64_5190`
10×	`associate-l_binary64_5075`
8×	`associate-r_binary64_5074`
6×	`distribute-lft-in_binary64_5083` `prod-exp_binary64_5178` `distribute-rgt-in_binary64_5084`
5×	`div-exp_binary64_5180` `pow-unpow_binary64_5206`
4×	`add-log-exp_binary64_5168` `pow-exp_binary64_5197`
3×	`unpow-prod-down_binary64_5208` `difference-of-squares_binary64_5101` `times-frac_binary64_5138` `cbrt-unprod_binary64_5162` `associate-/r*_binary64_5078`
2×	`e-exp-1_binary64_5174` `pow-sub_binary64_5205` `unpow-prod-up_binary64_5207` `cbrt-undiv_binary64_5163` `unswap-sqr_binary64_5100` `-commutative_binary64_5065` `associate-l/_binary64_5077` `pow-to-exp_binary64_5198` `distribute-lft-out--_binary64_5086` `log-pow_binary64_5218` `pow-prod-down_binary64_5200`
1×	`flip3--_binary64_5136` `sub-neg_binary64_5125` `associate-/l_binary64_5079` `sqr-pow_binary64_5104` `frac-2neg_binary64_5143` `associate-/l/_binary64_5081` `associate-r/_binary64_5076` `flip--_binary64_5107` `pow-pow_binary64_5201` `difference-of-sqr-1_binary64_5102` `associate--l+_binary64_5071` `clear-num_binary64_5131` `div-inv_binary64_5129`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (pow.f64 E.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))
7.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series829.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

449.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
263.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
68.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
49.0ms	(*.f64 y (log.f64 z))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5047	2140

prune127.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

Compiler

Compiled 2880 to 1371 computations (52.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b))))
0.1b	(pow.f64 a (-.f64 t 1))
0.6b	(/.f64 (.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b)))) y)
1.2b	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))

rewrite63.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-exp-log_binary64_5167`
69×	`prod-exp_binary64_5178`
29×	`add-cbrt-cube_binary64_5165` `add-sqr-sqrt_binary64_5153`
23×	`associate-*r/_binary64_5076`
19×	`pow-to-exp_binary64_5198` `pow-exp_binary64_5197`
16×	`*-un-lft-identity_binary64_5132`
15×	`unpow-prod-down_binary64_5208`
13×	`add-cube-cbrt_binary64_5164` `cbrt-unprod_binary64_5162`
12×	`div-exp_binary64_5180`
10×	`associate-l_binary64_5075` `pow1_binary64_5190`
9×	`unswap-sqr_binary64_5100` `sqr-pow_binary64_5104` `associate-r_binary64_5074`
8×	`pow-sub_binary64_5205`
7×	`pow-unpow_binary64_5206`
6×	`exp-neg_binary64_5176` `associate-/l/_binary64_5081`
4×	`frac-times_binary64_5142` `add-log-exp_binary64_5168` `cbrt-undiv_binary64_5163` `exp-diff_binary64_5177` `neg-sub0_binary64_5127`
3×	`pow-prod-down_binary64_5200` `times-frac_binary64_5138` `associate-/r*_binary64_5078`
2×	`sub-neg_binary64_5125` `un-div-inv_binary64_5130` `unpow-prod-up_binary64_5207` `-commutative_binary64_5065` `associate-l/_binary64_5077` `difference-of-squares_binary64_5101`
1×	`associate-/l*_binary64_5079` `frac-2neg_binary64_5143` `distribute-lft-out--_binary64_5086` `pow-pow_binary64_5201` `difference-of-sqr-1_binary64_5102` `clear-num_binary64_5131` `div-inv_binary64_5129`

Counts

4 → 139

Calls

4 calls:

20.0ms	(/.f64 (.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b)))) y)
15.0ms	(.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b))))
8.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
5.0ms	(pow.f64 a (-.f64 t 1))

series1.4s (12.7%)

Counts

4 → 12

Calls

4 calls:

619.0ms	(/.f64 (.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b)))) y)
485.0ms	(.f64 x (.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 (neg.f64 b))))
241.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
89.0ms	(pow.f64 a (-.f64 t 1))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4949	2910
1	4949	2910

prune154.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	154	5	159

Merged error: 0.0b

Counts

159 → 5

Compiler

Compiled 3259 to 1554 computations (52.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b)))
0.0b	(.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x)
0.6b	(/.f64 (/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b))) y)
1.2b	(*.f64 (pow.f64 z y) (pow.f64 a t))

rewrite78.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

343×	`add-exp-log_binary64_5167`
246×	`prod-exp_binary64_5178`
133×	`div-exp_binary64_5180`
82×	`pow-to-exp_binary64_5198` `pow-exp_binary64_5197`
61×	`add-cbrt-cube_binary64_5165`
31×	`add-sqr-sqrt_binary64_5153`
22×	`cbrt-unprod_binary64_5162`
20×	`times-frac_binary64_5138`
19×	`add-cube-cbrt_binary64_5164` `cbrt-undiv_binary64_5163` `*-un-lft-identity_binary64_5132`
12×	`unpow-prod-down_binary64_5208`
10×	`associate-r_binary64_5074`
9×	`unswap-sqr_binary64_5100`
8×	`associate-l_binary64_5075` `sqr-pow_binary64_5104`
6×	`pow1_binary64_5190` `associate-/l*_binary64_5079` `div-inv_binary64_5129`
4×	`add-log-exp_binary64_5168` `associate-/r*_binary64_5078`
2×	`*-commutative_binary64_5065` `frac-2neg_binary64_5143` `clear-num_binary64_5131`
1×	`associate-/l/_binary64_5081` `pow-prod-down_binary64_5200`

Counts

4 → 215

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b))) y)
14.0ms	(/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b)))
8.0ms	(.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x)
8.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

series2.0s (18%)

Counts

4 → 12

Calls

4 calls:

755.0ms	(/.f64 (/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b))) y)
631.0ms	(/.f64 (.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x) (*.f64 (pow.f64 a 1) (exp.f64 b)))
457.0ms	(.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) x)
192.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5255	5031

prune163.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	226	6	232

Merged error: 0b

Counts

232 → 6

Compiler

Compiled 4729 to 853 computations (82% saved)

regimes164.0ms (1.4%)

Compiler: Compiled 1108 to 1116 computations (-0.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	30
1	44	30

end0.0ms (0%)

sample3.6s (32.2%)

Algorithm

1×

intervals

Results

1.0s	14380×	body	128	nan
719.0ms	8000×	body	128	valid
605.0ms	6872×	body	128	invalid

Compiler

Compiled 206 to 181 computations (12.1% saved)

Details

analyze897.0ms (7.9%)

sample118.0ms (1%)

simplify212.0ms (1.9%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite49.0ms (0.4%)

series796.0ms (7%)

simplify81.0ms (0.7%)

prune131.0ms (1.2%)

localize18.0ms (0.2%)

rewrite39.0ms (0.3%)

series829.0ms (7.3%)

simplify67.0ms (0.6%)

prune127.0ms (1.1%)

localize15.0ms (0.1%)

rewrite63.0ms (0.6%)

series1.4s (12.7%)

simplify92.0ms (0.8%)

prune154.0ms (1.4%)

localize15.0ms (0.1%)

rewrite78.0ms (0.7%)

series2.0s (18%)

simplify85.0ms (0.8%)

prune163.0ms (1.4%)

regimes164.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (32.2%)

Profiling