Details

analyze1.1s (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	176
1	4887	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
0%	99.8%	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
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample231.0ms (2.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify291.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (285.0ms)

Iter	Nodes	Cost
0	5693	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

13.6b

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 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
13.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite88.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
9×	`add-cube-cbrt_binary64_14094`
6×	`cancel-sign-sub-inv_binary64_14025`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `times-frac_binary64_14065` `associate-/r_binary64_14003` `associate-r*_binary64_13999`
4×	`associate-*r/_binary64_14001` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
3×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `flip3--_binary64_14063` `flip--_binary64_14034` `associate-l_binary64_14000`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `associate-/r/_binary64_14005` `sub-neg_binary64_14052`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `associate-/l_binary64_14004` `pow-prod-down_binary64_14130` `unswap-sqr_binary64_14027` `-commutative_binary64_13990` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `+-commutative_binary64_13989`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
7.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series916.0ms (11.1%)

Error

0.3b

Counts

3 → 82

Calls

3 calls:

466.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
273.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
103.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 3918 to 2221 computations (43.3% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5031	2793

prune117.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	148	5	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	5	154

Error

0.0b

Counts

154 → 5

Compiler

Compiled 2582 to 593 computations (77% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.1b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite225.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

218×	`times-frac_binary64_14065`
197×	`*-un-lft-identity_binary64_14059`
195×	`add-sqr-sqrt_binary64_14081`
91×	`add-cube-cbrt_binary64_14094`
52×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
36×	`associate-/r*_binary64_14003`
11×	`associate-/r/_binary64_14005`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
8×	`associate-/l*_binary64_14004`
6×	`div-inv_binary64_14056` `flip3--_binary64_14063` `flip--_binary64_14034`
5×	`add-log-exp_binary64_14098`
4×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
3×	`pow1_binary64_14120`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `associate-/l/_binary64_14006`
1×	`div-sub_binary64_14064` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `+-commutative_binary64_13989`

Counts

3 → 206

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4812 to 1041 computations (78.4% saved)

series953.0ms (11.6%)

Error

0.0b

Counts

3 → 92

Calls

3 calls:

437.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
271.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
168.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4705 to 2777 computations (41% saved)

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5020	7586

prune231.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	298	5	303

Error

0.0b

Counts

303 → 5

Compiler

Compiled 6303 to 1105 computations (82.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite116.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_14081`
71×	`*-un-lft-identity_binary64_14059`
51×	`times-frac_binary64_14065`
31×	`associate-r_binary64_13999`
27×	`add-cube-cbrt_binary64_14094`
22×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `associate-/l_binary64_14004` `associate-/r_binary64_14003`
4×	`associate-/r/_binary64_14005`
3×	`associate-l_binary64_14000` `flip3--_binary64_14063` `flip--_binary64_14034`
2×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `div-inv_binary64_14056` `associate-/l/_binary64_14006`
1×	`pow-prod-down_binary64_14130` `associate-r/_binary64_14001` `-commutative_binary64_13990` `frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.1s (13.1%)

Error

0.0b

Counts

3 → 93

Calls

3 calls:

472.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
335.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
186.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 4855 to 2874 computations (40.8% saved)

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5093	4530

prune150.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	206	5	211

Error

0.0b

Counts

211 → 5

Compiler

Compiled 4070 to 791 computations (80.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1))))
2.0b	(/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1)))

rewrite122.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

56×	`times-frac_binary64_14065`
55×	`add-sqr-sqrt_binary64_14081`
49×	`*-un-lft-identity_binary64_14059`
31×	`add-cube-cbrt_binary64_14094`
24×	`distribute-rgt-neg-in_binary64_14017` `distribute-lft-neg-in_binary64_14016`
16×	`difference-of-sqr--1_binary64_14030` `associate-/r*_binary64_14003`
9×	`distribute-lft-out_binary64_14010`
4×	`add-exp-log_binary64_14097` `add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095` `neg-mul-1_binary64_14055`
3×	`associate-/l*_binary64_14004`
2×	`pow1_binary64_14120` `flip3-+_binary64_14062` `distribute-neg-frac_binary64_14023` `associate-/r/_binary64_14005` `flip-+_binary64_14033`
1×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `sum-log_binary64_14150` `+-commutative_binary64_13989`

Counts

2 → 93

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1))))
10.0ms	(/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1)))

Compiler

Compiled 1881 to 977 computations (48.1% saved)

series401.0ms (4.9%)

Error

0.0b

Counts

2 → 51

Calls

2 calls:

216.0ms	(+.f64 x (/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1))))
151.0ms	(/.f64 y (neg.f64 (+.f64 (/.f64 a t) -1)))

Compiler

Compiled 1419 to 1076 computations (24.2% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5657	2660

prune105.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Error

0.0b

Counts

149 → 5

Compiler

Compiled 2244 to 942 computations (58% saved)

regimes456.0ms (5.5%)

Accuracy

Total 1.3b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3900 to 3358 computations (13.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.3s (15.4%)

Algorithm

1×

intervals

Results

308.0ms	7998×	body	128	valid
31.0ms	725×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 567 to 493 computations (13.1% saved)

Details

analyze1.1s (13.1%)

sample231.0ms (2.8%)

simplify291.0ms (3.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite88.0ms (1.1%)

series916.0ms (11.1%)

simplify80.0ms (1%)

prune117.0ms (1.4%)

localize8.0ms (0.1%)

rewrite225.0ms (2.7%)

series953.0ms (11.6%)

simplify109.0ms (1.3%)

prune231.0ms (2.8%)

localize9.0ms (0.1%)

rewrite116.0ms (1.4%)

series1.1s (13.1%)

simplify92.0ms (1.1%)

prune150.0ms (1.8%)

localize8.0ms (0.1%)

rewrite122.0ms (1.5%)

series401.0ms (4.9%)

simplify84.0ms (1%)

prune105.0ms (1.3%)

regimes456.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (15.4%)

Profiling