Details

analyze429.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

28.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify261.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune4.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 63 to 58 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite132.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64_419`
56×	`times-frac_binary64_425`
51×	`add-sqr-sqrt_binary64_441`
40×	`add-cube-cbrt_binary64_454`
21×	`distribute-lft-out_binary64_370`
18×	`cancel-sign-sub-inv_binary64_385`
12×	`add-exp-log_binary64_457` `associate-/r*_binary64_363`
10×	`add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
8×	`associate-/r/_binary64_365`
6×	`difference-of-squares_binary64_388` `add-log-exp_binary64_458`
5×	`flip3-+_binary64_422` `div-inv_binary64_416` `flip-+_binary64_393` `pow1_binary64_480`
4×	`div-exp_binary64_470`
3×	`clear-num_binary64_418` `frac-2neg_binary64_430` `cbrt-undiv_binary64_453`
2×	`distribute-lft-out--_binary64_371` `associate-/l/_binary64_366`
1×	`1-exp_binary64_463` `sub-neg_binary64_412` `inv-pow_binary64_504` `flip3--_binary64_423` `rec-exp_binary64_469` `pow-flip_binary64_493` `diff-log_binary64_511` `flip--_binary64_394`

Counts

4 → 147

Calls

4 calls:

46.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
31.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
29.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
8.0ms	(/.f64 4 (+.f64 1 t))

series69.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
20.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
19.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
9.0ms	(/.f64 4 (+.f64 1 t))

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5095	3918

prune298.0ms (5.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 3991 to 3499 computations (12.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite150.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`*-un-lft-identity_binary64_419`
63×	`add-sqr-sqrt_binary64_441`
60×	`times-frac_binary64_425`
41×	`add-cube-cbrt_binary64_454`
36×	`cancel-sign-sub-inv_binary64_385`
22×	`log-prod_binary64_505`
20×	`distribute-lft-out_binary64_370`
19×	`exp-sum_binary64_465`
12×	`difference-of-squares_binary64_388` `log-pow_binary64_508`
11×	`exp-prod_binary64_471`
8×	`associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/r*_binary64_363`
7×	`associate-/l*_binary64_364`
6×	`add-log-exp_binary64_458` `div-inv_binary64_416`
5×	`flip3-+_binary64_422` `flip-+_binary64_393` `pow1_binary64_480`
4×	`distribute-lft-out--_binary64_371`
2×	`clear-num_binary64_418` `sub-neg_binary64_412` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`exp-diff_binary64_467` `rem-log-exp_binary64_460` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394` `log-div_binary64_506`

Counts

4 → 153

Calls

4 calls:

63.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
32.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
29.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
6.0ms	(/.f64 4 (+.f64 1 t))

series147.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
39.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
29.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
14.0ms	(/.f64 4 (+.f64 1 t))

simplify158.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5012	4045

prune397.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	165	2	167

Error

Counts

167 → 2

Compiler

Compiled 4311 to 3810 computations (11.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.3b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
3.1b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.1b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite203.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

464×	`times-frac_binary64_425`
380×	`*-un-lft-identity_binary64_419`
232×	`add-sqr-sqrt_binary64_441`
214×	`add-cube-cbrt_binary64_454`
142×	`cancel-sign-sub-inv_binary64_385`
108×	`distribute-lft-out_binary64_370`
80×	`div-inv_binary64_416`
26×	`associate-/l*_binary64_364`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
10×	`associate-/r*_binary64_363`
8×	`add-log-exp_binary64_458` `associate-/r/_binary64_365`
6×	`difference-of-squares_binary64_388` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`flip3-+_binary64_422` `flip-+_binary64_393` `pow1_binary64_480`
2×	`clear-num_binary64_418` `sub-neg_binary64_412` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `diff-log_binary64_511` `flip--_binary64_394` `associate-/l/_binary64_366`

Counts

4 → 372

Calls

4 calls:

47.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
38.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
18.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
16.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

series92.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
18.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
18.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

simplify254.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

384 → 384

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4964	8564
1	4964	8564

prune1.6s (27.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	384	0	384
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	384	2	386

Error

Counts

386 → 2

Compiler

Compiled 13746 to 11557 computations (15.9% saved)

regimes229.0ms (3.9%)

Accuracy

Total 0.0b remaining (90.3%)

Threshold costs 0.0b (90.3%)

Compiler

Compiled 1300 to 1160 computations (10.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms (0%)

sample1.2s (20.9%)

Algorithm

1×

intervals

Results

799.0ms

8000×

body

128

valid

Compiler

Compiled 197 to 178 computations (9.6% saved)

Details

analyze429.0ms (7.3%)

sample37.0ms (0.6%)

simplify261.0ms (4.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite132.0ms (2.2%)

series69.0ms (1.2%)

simplify116.0ms (2%)

prune298.0ms (5.1%)

localize12.0ms (0.2%)

rewrite150.0ms (2.6%)

series147.0ms (2.5%)

simplify158.0ms (2.7%)

prune397.0ms (6.7%)

localize12.0ms (0.2%)

rewrite203.0ms (3.5%)

series92.0ms (1.6%)

simplify254.0ms (4.3%)

prune1.6s (27.9%)

regimes229.0ms (3.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (20.9%)

Profiling