Details

analyze688.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5107	46
0	1	1
1	1	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

Symmetry

Compiler

Compiled 52 to 45 computations (13.5% saved)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5107	46

prune6.0ms (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

Counts

2 → 2

Compiler

Compiled 113 to 100 computations (11.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite357.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_419`
36×	`associate-l_binary64_360`
32×	`add-sqr-sqrt_binary64_441`
26×	`times-frac_binary64_425`
22×	`add-cube-cbrt_binary64_454`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`distribute-lft-out_binary64_370`
8×	`add-log-exp_binary64_458` `pow1_binary64_480` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-r_binary64_359`
4×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*r/_binary64_361` `associate-/r/_binary64_365`
2×	`sum-log_binary64_510` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l/_binary64_362` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 112

Calls

4 calls:

24.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
21.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
11.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
11.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 4654 to 4076 computations (12.4% saved)

series255.0ms (2.6%)

Error

Counts

4 → 48

Calls

4 calls:

54.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
48.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
36.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
35.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 3212 to 2845 computations (11.4% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4901	2846
1	4901	2846

prune379.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Error

Counts

162 → 2

Compiler

Compiled 5765 to 4951 computations (14.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite2.8s (28.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

452×	`times-frac_binary64_425`
364×	`*-un-lft-identity_binary64_419`
284×	`cancel-sign-sub-inv_binary64_385`
236×	`add-sqr-sqrt_binary64_441`
200×	`add-cube-cbrt_binary64_454`
104×	`distribute-lft-out_binary64_370`
76×	`div-inv_binary64_416`
12×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388`
8×	`associate-/r/_binary64_365`
4×	`diff-log_binary64_511` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out--_binary64_371`

Counts

4 → 344

Calls

4 calls:

38.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
33.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 22400 to 18740 computations (16.3% saved)

series318.0ms (3.2%)

Error

Counts

4 → 48

Calls

4 calls:

52.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
52.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
50.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
46.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 4960 to 4257 computations (14.2% saved)

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4950	9212
1	4950	9212

prune2.7s (26.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	392	2	394

Error

Counts

394 → 2

Compiler

Compiled 22404 to 18574 computations (17.1% saved)

regimes265.0ms (2.7%)

Accuracy

Total 0.0b remaining (56.8%)

Threshold costs 0.0b (56.8%)

Compiler

Compiled 4325 to 3846 computations (11.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	46
1	20	46

Removed

()

end0.0ms (0%)

sample1.8s (18.2%)

Algorithm

1×

intervals

Results

936.0ms

8000×

body

128

valid

Compiler

Compiled 910 to 810 computations (11% saved)

Details

analyze688.0ms (6.9%)

sample41.0ms (0.4%)

simplify67.0ms (0.7%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite357.0ms (3.6%)

series255.0ms (2.6%)

simplify88.0ms (0.9%)

prune379.0ms (3.8%)

localize12.0ms (0.1%)

rewrite2.8s (28.6%)

series318.0ms (3.2%)

simplify135.0ms (1.4%)

prune2.7s (26.8%)

regimes265.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (18.2%)

Profiling