Details

analyze2.5s (21.9%)

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%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample52.0ms (0.5%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
6.0ms	68×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify298.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4889	19
1	4889	19

prune8.0ms (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 43 to 41 computations (4.7% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (/.f64 2 z))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_24289`
12×	`add-cube-cbrt_binary64_24324` `times-frac_binary64_24295` `add-sqr-sqrt_binary64_24311`
10×	`add-log-exp_binary64_24328`
8×	`distribute-lft-out_binary64_24240`
5×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
4×	`flip3-+_binary64_24292` `sum-log_binary64_24380` `associate-/l*_binary64_24234` `flip-+_binary64_24263`
3×	`pow1_binary64_24350` `associate-/r*_binary64_24233`
2×	`associate-/l/_binary64_24236` `frac-add_binary64_24297` `+-commutative_binary64_24219`
1×	`clear-num_binary64_24288` `cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `associate-+r+_binary64_24221` `div-inv_binary64_24286` `frac-2neg_binary64_24300`

Counts

3 → 62

Calls

3 calls:

39.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
16.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)
12.0ms	(+.f64 2 (/.f64 2 z))

series165.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

91.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
44.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)
29.0ms	(+.f64 2 (/.f64 2 z))

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4922	1312
1	4922	1312

prune158.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0b

Counts

73 → 4

Compiler

Compiled 1485 to 997 computations (32.9% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))))
0.0b	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
0.5b	(/.f64 2 (*.f64 z t))

rewrite84.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_24289`
14×	`add-log-exp_binary64_24328`
11×	`times-frac_binary64_24295`
8×	`distribute-lft-out_binary64_24240` `add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
7×	`add-cube-cbrt_binary64_24324` `sum-log_binary64_24380` `add-sqr-sqrt_binary64_24311`
4×	`distribute-rgt-out_binary64_24242`
3×	`flip3-+_binary64_24292` `div-inv_binary64_24286` `associate-/l*_binary64_24234` `frac-add_binary64_24297` `flip-+_binary64_24263` `pow1_binary64_24350`
2×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `+-commutative_binary64_24219`
1×	`clear-num_binary64_24288` `associate-+r+_binary64_24221` `cbrt-unprod_binary64_24322` `prod-exp_binary64_24338` `distribute-rgt1-in_binary64_24245` `frac-2neg_binary64_24300` `associate-/r*_binary64_24233`

Counts

3 → 59

Calls

3 calls:

44.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))))
21.0ms	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
9.0ms	(/.f64 2 (*.f64 z t))

series165.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))))
50.0ms	(+.f64 (/.f64 2 t) (/.f64 2 (*.f64 z t)))
27.0ms	(/.f64 2 (*.f64 z t))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4976	1276
1	4976	1276

prune132.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0b

Counts

72 → 4

Compiler

Compiled 1478 to 898 computations (39.2% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (/.f64 2 z))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
0.2b	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

rewrite76.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_24289` `add-sqr-sqrt_binary64_24311`
13×	`associate-r_binary64_24229`
12×	`add-exp-log_binary64_24327`
11×	`add-cube-cbrt_binary64_24324` `times-frac_binary64_24295`
10×	`add-log-exp_binary64_24328`
8×	`add-cbrt-cube_binary64_24325`
5×	`flip3-+_binary64_24292` `flip-+_binary64_24263` `pow1_binary64_24350`
4×	`sum-log_binary64_24380` `prod-exp_binary64_24338` `associate-l_binary64_24230`
3×	`distribute-lft-out_binary64_24240` `unswap-sqr_binary64_24257`
2×	`frac-times_binary64_24299` `div-exp_binary64_24340` `cbrt-unprod_binary64_24322` `frac-add_binary64_24297` `+-commutative_binary64_24219` `associate-*l/_binary64_24232`
1×	`cbrt-undiv_binary64_24323` `un-div-inv_binary64_24287` `associate-+r+_binary64_24221` `1-exp_binary64_24333` `-commutative_binary64_24220` `div-inv_binary64_24286` `rec-exp_binary64_24339` `associate-r/_binary64_24231` `pow-prod-down_binary64_24360`

Counts

3 → 69

Calls

3 calls:

27.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))
25.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
12.0ms	(+.f64 2 (/.f64 2 z))

series159.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
42.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))
30.0ms	(+.f64 2 (/.f64 2 z))

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4941	1312
1	4941	1312

prune150.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0b

Counts

82 → 4

Compiler

Compiled 1612 to 1104 computations (31.5% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
2.5b	(-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
24.7b	(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))) (-.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))

rewrite286.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`*-un-lft-identity_binary64_24289` `add-sqr-sqrt_binary64_24311`
73×	`times-frac_binary64_24295`
50×	`frac-sub_binary64_24298`
49×	`add-cube-cbrt_binary64_24324`
45×	`frac-times_binary64_24299`
43×	`flip3-+_binary64_24292` `flip-+_binary64_24263`
31×	`associate-r/_binary64_24231` `associate-l/_binary64_24232`
26×	`associate-/l/_binary64_24236`
20×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
19×	`difference-of-squares_binary64_24258` `swap-sqr_binary64_24256`
18×	`pow1_binary64_24350`
17×	`associate-r_binary64_24229` `associate-l_binary64_24230`
11×	`distribute-lft-out_binary64_24240`
10×	`distribute-lft-out--_binary64_24241`
7×	`associate-/r*_binary64_24233`
6×	`add-log-exp_binary64_24328`
5×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `cbrt-unprod_binary64_24322` `prod-exp_binary64_24338` `div-inv_binary64_24286` `unswap-sqr_binary64_24257`
4×	`associate-/r/_binary64_24235` `associate-/l*_binary64_24234`
3×	`flip3--_binary64_24293` `flip--_binary64_24264`
2×	`pow-sqr_binary64_24262` `pow2_binary64_24370` `associate--r+_binary64_24225` `*-commutative_binary64_24220` `pow-plus_binary64_24352` `pow-prod-up_binary64_24359` `distribute-rgt-in_binary64_24239` `pow-prod-down_binary64_24360` `distribute-lft-in_binary64_24238`
1×	`clear-num_binary64_24288` `div-sub_binary64_24294` `sub-neg_binary64_24282` `cancel-sign-sub-inv_binary64_24255` `diff-log_binary64_24381` `frac-2neg_binary64_24300`

Counts

4 → 228

Calls

4 calls:

75.0ms	(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))) (-.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
56.0ms	(*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
39.0ms	(-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
21.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series2.4s (20.7%)

Counts

4 → 12

Calls

4 calls:

2.0s	(/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))) (-.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
319.0ms	(-.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)))
55.0ms	(*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
35.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify248.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5156	11393

prune1.5s (12.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	240	4	244

Merged error: 0b

Counts

244 → 4

Compiler

Compiled 14318 to 9660 computations (32.5% saved)

regimes446.0ms (3.9%)

Compiler: Compiled 2264 to 2036 computations (10.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	22
1	18	22

end0.0ms (0%)

sample2.2s (18.7%)

Algorithm

1×

intervals

Results

752.0ms	8000×	body	128	valid
231.0ms	2376×	body	128	invalid

Compiler

Compiled 352 to 317 computations (9.9% saved)

Details

analyze2.5s (21.9%)

sample52.0ms (0.5%)

simplify298.0ms (2.6%)

prune8.0ms (0.1%)

localize16.0ms (0.1%)

rewrite77.0ms (0.7%)

series165.0ms (1.4%)

simplify117.0ms (1%)

prune158.0ms (1.4%)

localize21.0ms (0.2%)

rewrite84.0ms (0.7%)

series165.0ms (1.4%)

simplify125.0ms (1.1%)

prune132.0ms (1.2%)

localize21.0ms (0.2%)

rewrite76.0ms (0.7%)

series159.0ms (1.4%)

simplify129.0ms (1.1%)

prune150.0ms (1.3%)

localize29.0ms (0.3%)

rewrite286.0ms (2.5%)

series2.4s (20.7%)

simplify248.0ms (2.2%)

prune1.5s (12.9%)

regimes446.0ms (3.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.2s (18.7%)

Profiling