Details

analyze542.0ms (7.5%)

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 52 to 45 computations (13.5% saved)

sample38.0ms (0.5%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify223.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5298	40

prune9.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 183 to 160 computations (12.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite224.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

452×	`times-frac_binary64_429`
364×	`*-un-lft-identity_binary64_423`
284×	`cancel-sign-sub-inv_binary64_389`
236×	`add-sqr-sqrt_binary64_445`
200×	`add-cube-cbrt_binary64_458`
104×	`distribute-lft-out_binary64_374`
76×	`div-inv_binary64_420`
12×	`difference-of-squares_binary64_392` `add-log-exp_binary64_462`
8×	`associate-/r/_binary64_369`
4×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `pow1_binary64_484` `flip3--_binary64_427` `distribute-lft-out--_binary64_375` `flip3-+_binary64_426` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `flip--_binary64_398`

Counts

4 → 344

Calls

4 calls:

38.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
37.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series109.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify106.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5139	9088

prune2.2s (29.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	355	3	358

Merged error: 0b

Counts

358 → 3

Compiler

Compiled 21055 to 17437 computations (17.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite69.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`*-un-lft-identity_binary64_423`
32×	`times-frac_binary64_429`
24×	`add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
22×	`distribute-lft-out_binary64_374`
8×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462` `associate-/l_binary64_368` `associate-/r_binary64_367`
6×	`flip-+_binary64_397` `flip3-+_binary64_426`
4×	`pow1_binary64_484` `associate-/l/_binary64_370` `associate-/r/_binary64_369`
2×	`+-commutative_binary64_353` `clear-num_binary64_422` `frac-2neg_binary64_434` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474` `sum-log_binary64_514`

Counts

4 → 104

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
12.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
11.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

series111.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
35.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
19.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
17.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5259	2484

prune471.0ms (6.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 4713 to 4015 computations (14.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.6b	(-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t))

rewrite180.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

339×	`times-frac_binary64_429`
275×	`*-un-lft-identity_binary64_423`
214×	`cancel-sign-sub-inv_binary64_389`
179×	`add-sqr-sqrt_binary64_445`
151×	`add-cube-cbrt_binary64_458`
78×	`distribute-lft-out_binary64_374`
57×	`div-inv_binary64_420`
15×	`add-log-exp_binary64_462`
10×	`difference-of-squares_binary64_392`
6×	`associate-/r/_binary64_369`
5×	`diff-log_binary64_515`
4×	`sub-neg_binary64_416` `pow1_binary64_484` `flip3--_binary64_427` `distribute-lft-out--_binary64_375` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `flip--_binary64_398`
3×	`flip-+_binary64_397` `flip3-+_binary64_426`
2×	`unpow3_binary64_489`
1×	`associate--l+_binary64_360` `distribute-rgt-out--_binary64_377` `distribute-rgt1-in_binary64_379` `distribute-rgt-out_binary64_376` `sum-log_binary64_514`

Counts

4 → 275

Calls

4 calls:

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))))
10.0ms	(-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t))

series102.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
26.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
23.0ms	(-.f64 (+.f64 t (pow.f64 t 3)) (*.f64 t t))

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5205	6901

prune1.3s (18.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	287	3	290

Merged error: 0b

Counts

290 → 3

Compiler

Compiled 16610 to 12927 computations (22.2% saved)

regimes81.0ms (1.1%)

Compiler: Compiled 835 to 716 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	19	40

end0.0ms (0%)

sample1.2s (17.1%)

Algorithm

1×

intervals

Results

945.0ms

8000×

body

128

valid

Compiler

Compiled 208 to 180 computations (13.5% saved)

Details

analyze542.0ms (7.5%)

sample38.0ms (0.5%)

simplify223.0ms (3.1%)

prune9.0ms (0.1%)

localize13.0ms (0.2%)

rewrite224.0ms (3.1%)

series109.0ms (1.5%)

simplify106.0ms (1.5%)

prune2.2s (29.9%)

localize10.0ms (0.1%)

rewrite69.0ms (1%)

series111.0ms (1.5%)

simplify80.0ms (1.1%)

prune471.0ms (6.6%)

localize22.0ms (0.3%)

rewrite180.0ms (2.5%)

series102.0ms (1.4%)

simplify114.0ms (1.6%)

prune1.3s (18.2%)

regimes81.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (17.1%)

Profiling