Details

analyze949.0ms (22.3%)

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify274.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5310	16

prune2.0ms (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: 14.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
14.3b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_8502` `add-sqr-sqrt_binary64_8523`
10×	`add-exp-log_binary64_8537` `add-cbrt-cube_binary64_8535`
7×	`add-cube-cbrt_binary64_8534`
5×	`associate-/r_binary64_8448` `associate-r*_binary64_8444` `pow1_binary64_8560` `add-log-exp_binary64_8538` `times-frac_binary64_8508`
4×	`associate-*r/_binary64_8446`
3×	`difference-of-squares_binary64_8471` `distribute-lft-out--_binary64_8456` `flip--_binary64_8477` `associate-l_binary64_8445` `flip3--_binary64_8506`
2×	`associate-/r/_binary64_8450` `cbrt-undiv_binary64_8533` `associate-/l/_binary64_8451` `prod-exp_binary64_8548` `cbrt-unprod_binary64_8532` `sub-neg_binary64_8495` `div-exp_binary64_8550`
1×	`flip3-+_binary64_8505` `-commutative_binary64_8435` `pow-prod-down_binary64_8570` `distribute-rgt-in_binary64_8454` `flip-+_binary64_8476` `distribute-lft-in_binary64_8453` `distribute-lft-out_binary64_8455` `sum-log_binary64_8590` `associate-/l_binary64_8449` `frac-2neg_binary64_8513` `div-inv_binary64_8499` `unswap-sqr_binary64_8470` `+-commutative_binary64_8434` `clear-num_binary64_8501`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series475.0ms (11.2%)

Counts

3 → 9

Calls

3 calls:

243.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
167.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
65.0ms	(*.f64 y (-.f64 z t))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5263	1037

prune61.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

Compiler

Compiled 1185 to 286 computations (75.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.7b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite85.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_8508`
197×	`*-un-lft-identity_binary64_8502`
195×	`add-sqr-sqrt_binary64_8523`
91×	`add-cube-cbrt_binary64_8534`
52×	`difference-of-squares_binary64_8471` `distribute-lft-out--_binary64_8456`
36×	`associate-/r*_binary64_8448`
11×	`associate-/r/_binary64_8450`
10×	`add-exp-log_binary64_8537` `add-cbrt-cube_binary64_8535`
8×	`associate-/l*_binary64_8449`
6×	`flip--_binary64_8477` `flip3--_binary64_8506` `div-inv_binary64_8499`
5×	`add-log-exp_binary64_8538`
4×	`cbrt-undiv_binary64_8533` `div-exp_binary64_8550`
3×	`pow1_binary64_8560`
2×	`associate-/l/_binary64_8451` `frac-2neg_binary64_8513` `clear-num_binary64_8501`
1×	`flip3-+_binary64_8505` `div-sub_binary64_8507` `flip-+_binary64_8476` `distribute-lft-out_binary64_8455` `sum-log_binary64_8590` `+-commutative_binary64_8434`

Counts

3 → 206

Calls

3 calls:

31.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series583.0ms (13.7%)

Counts

3 → 9

Calls

3 calls:

262.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
251.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
69.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5094	5192

prune155.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	215	3	218

Merged error: 0b

Counts

218 → 3

Compiler

Compiled 4505 to 725 computations (83.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_8523`
71×	`*-un-lft-identity_binary64_8502`
51×	`times-frac_binary64_8508`
31×	`associate-r_binary64_8444`
27×	`add-cube-cbrt_binary64_8534`
22×	`difference-of-squares_binary64_8471` `distribute-lft-out--_binary64_8456`
10×	`add-exp-log_binary64_8537` `add-cbrt-cube_binary64_8535`
5×	`associate-/r_binary64_8448` `pow1_binary64_8560` `add-log-exp_binary64_8538` `associate-/l_binary64_8449`
4×	`associate-/r/_binary64_8450`
3×	`flip--_binary64_8477` `associate-l_binary64_8445` `flip3--_binary64_8506`
2×	`cbrt-undiv_binary64_8533` `associate-/l/_binary64_8451` `prod-exp_binary64_8548` `cbrt-unprod_binary64_8532` `div-inv_binary64_8499` `unswap-sqr_binary64_8470` `div-exp_binary64_8550`
1×	`flip3-+_binary64_8505` `div-sub_binary64_8507` `-commutative_binary64_8435` `pow-prod-down_binary64_8570` `associate-r/_binary64_8446` `flip-+_binary64_8476` `sum-log_binary64_8590` `frac-2neg_binary64_8513` `+-commutative_binary64_8434` `clear-num_binary64_8501`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series451.0ms (10.6%)

Counts

3 → 9

Calls

3 calls:

234.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
152.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
64.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6250	2068

prune86.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

Compiler

Compiled 2223 to 427 computations (80.8% saved)

regimes73.0ms (1.7%)

Compiler: Compiled 281 to 298 computations (-6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample735.0ms (17.2%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
31.0ms	742×	body	128	invalid

Compiler

Compiled 67 to 66 computations (1.5% saved)

Details

analyze949.0ms (22.3%)

sample22.0ms (0.5%)

simplify274.0ms (6.4%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite31.0ms (0.7%)

series475.0ms (11.2%)

simplify51.0ms (1.2%)

prune61.0ms (1.4%)

localize10.0ms (0.2%)

rewrite85.0ms (2%)

series583.0ms (13.7%)

simplify90.0ms (2.1%)

prune155.0ms (3.6%)

localize8.0ms (0.2%)

rewrite40.0ms (0.9%)

series451.0ms (10.6%)

simplify70.0ms (1.7%)

prune86.0ms (2%)

regimes73.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample735.0ms (17.2%)

Profiling