Details

analyze1.1s (26.5%)

Algorithm

1×

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
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify112.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4873	19
1	4873	19

prune11.0ms (0.3%)

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: 2.0b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
11.7b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite78.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

239×	`*-un-lft-identity_binary64`
203×	`times-frac_binary64`
136×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out_binary64`
43×	`distribute-lft-out--_binary64`
23×	`difference-of-squares_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `flip-+_binary64`

Counts

3 → 191

Calls

3 calls:

32.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
25.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series82.0ms (2%)

Counts

3 → 9

Calls

3 calls:

42.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
32.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
7.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify142.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5839	5399

prune173.0ms (4.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	4	201

Merged error: 0b

Counts

201 → 4

Compiler

Compiled 4632 to 1855 computations (60% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
0.8b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

18.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
3.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))

series76.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
30.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5653	2426

prune82.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Merged error: 0b

Counts

126 → 4

Compiler

Compiled 2586 to 1133 computations (56.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
5.8b	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
9.3b	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite56.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

296×	`*-un-lft-identity_binary64`
264×	`times-frac_binary64`
136×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
64×	`distribute-lft-out_binary64`
44×	`associate-/r*_binary64`
32×	`distribute-lft-out--_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
12×	`div-inv_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `div-sub_binary64` `flip-+_binary64`

Counts

4 → 264

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
11.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
11.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series66.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 y (/.f64 (+.f64 (-.f64 t z) 1) a))
21.0ms	(/.f64 z (/.f64 (+.f64 (-.f64 t z) 1) a))
11.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
7.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify117.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5607	5930

prune240.0ms (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	276	4	280

Merged error: 0b

Counts

280 → 4

Compiler

Compiled 8142 to 3817 computations (53.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1)))
0.0b	(*.f64 (-.f64 y z) a)
6.5b	(/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1))
11.0ms	(-.f64 x (/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1)))
7.0ms	(*.f64 (-.f64 y z) a)

series62.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 x (/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1)))
19.0ms	(/.f64 (*.f64 (-.f64 y z) a) (+.f64 (-.f64 t z) 1))
7.0ms	(*.f64 (-.f64 y z) a)

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5386	1207

prune42.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

Compiler

Compiled 1330 to 526 computations (60.5% saved)

regimes233.0ms (5.7%)

Compiler: Compiled 320 to 320 computations (0% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	165	19
1	165	19

end0.0ms (0%)

sample1.1s (27.7%)

Algorithm

1×

intervals

Results

312.0ms	7998×	body	80	valid
21.0ms	480×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Compiler

Compiled 102 to 96 computations (5.9% saved)

Details

analyze1.1s (26.5%)

sample23.0ms (0.6%)

simplify112.0ms (2.8%)

prune11.0ms (0.3%)

localize10.0ms (0.2%)

rewrite78.0ms (1.9%)

series82.0ms (2%)

simplify142.0ms (3.5%)

prune173.0ms (4.3%)

localize9.0ms (0.2%)

rewrite38.0ms (0.9%)

series76.0ms (1.9%)

simplify79.0ms (1.9%)

prune82.0ms (2%)

localize10.0ms (0.2%)

rewrite56.0ms (1.4%)

series66.0ms (1.6%)

simplify117.0ms (2.9%)

prune240.0ms (5.9%)

localize12.0ms (0.3%)

rewrite32.0ms (0.8%)

series62.0ms (1.5%)

simplify69.0ms (1.7%)

prune42.0ms (1%)

regimes233.0ms (5.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.1s (27.7%)

Profiling