Details

analyze907.0ms (14.9%)

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
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
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify309.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5714	16

prune2.0ms (0%)

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: 10.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
9.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_10421` `*-un-lft-identity_binary64_10399`
10×	`add-exp-log_binary64_10437` `add-cbrt-cube_binary64_10435`
9×	`add-cube-cbrt_binary64_10434`
6×	`cancel-sign-sub-inv_binary64_10365`
5×	`associate-/r_binary64_10343` `pow1_binary64_10460` `add-log-exp_binary64_10438` `times-frac_binary64_10405` `associate-r*_binary64_10339`
4×	`associate-*r/_binary64_10341` `distribute-rgt-in_binary64_10349` `distribute-lft-in_binary64_10348`
3×	`flip3--_binary64_10403` `difference-of-squares_binary64_10368` `associate-l_binary64_10340` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`
2×	`cbrt-undiv_binary64_10433` `sub-neg_binary64_10392` `associate-/l/_binary64_10346` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `associate-/r/_binary64_10345` `div-exp_binary64_10450`
1×	`associate-/l_binary64_10344` `sum-log_binary64_10490` `frac-2neg_binary64_10410` `-commutative_binary64_10330` `flip3-+_binary64_10402` `div-inv_binary64_10396` `unswap-sqr_binary64_10367` `flip-+_binary64_10373` `+-commutative_binary64_10329` `distribute-lft-out_binary64_10350` `pow-prod-down_binary64_10470` `clear-num_binary64_10398`

Counts

3 → 71

Calls

3 calls:

13.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
8.0ms	(*.f64 y (-.f64 z t))

series528.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

265.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
185.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
77.0ms	(*.f64 y (-.f64 z t))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5675	1097

prune128.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

Compiler

Compiled 2414 to 1036 computations (57.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.2b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite85.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_10405`
197×	`*-un-lft-identity_binary64_10399`
195×	`add-sqr-sqrt_binary64_10421`
91×	`add-cube-cbrt_binary64_10434`
52×	`difference-of-squares_binary64_10368` `distribute-lft-out--_binary64_10351`
36×	`associate-/r*_binary64_10343`
11×	`associate-/r/_binary64_10345`
10×	`add-exp-log_binary64_10437` `add-cbrt-cube_binary64_10435`
8×	`associate-/l*_binary64_10344`
6×	`flip3--_binary64_10403` `div-inv_binary64_10396` `flip--_binary64_10374`
5×	`add-log-exp_binary64_10438`
4×	`cbrt-undiv_binary64_10433` `div-exp_binary64_10450`
3×	`pow1_binary64_10460`
2×	`associate-/l/_binary64_10346` `frac-2neg_binary64_10410` `clear-num_binary64_10398`
1×	`sum-log_binary64_10490` `flip3-+_binary64_10402` `flip-+_binary64_10373` `+-commutative_binary64_10329` `distribute-lft-out_binary64_10350` `div-sub_binary64_10404`

Counts

3 → 206

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
17.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series768.0ms (12.6%)

Counts

3 → 9

Calls

3 calls:

349.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
326.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
94.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5088	5201

prune191.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	214	6	220

Merged error: 0b

Counts

220 → 6

Compiler

Compiled 5151 to 1150 computations (77.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_10421`
71×	`*-un-lft-identity_binary64_10399`
51×	`times-frac_binary64_10405`
31×	`associate-r_binary64_10339`
27×	`add-cube-cbrt_binary64_10434`
22×	`difference-of-squares_binary64_10368` `distribute-lft-out--_binary64_10351`
10×	`add-exp-log_binary64_10437` `add-cbrt-cube_binary64_10435`
5×	`associate-/r_binary64_10343` `associate-/l_binary64_10344` `pow1_binary64_10460` `add-log-exp_binary64_10438`
4×	`associate-/r/_binary64_10345`
3×	`flip3--_binary64_10403` `associate-l_binary64_10340` `flip--_binary64_10374`
2×	`cbrt-undiv_binary64_10433` `associate-/l/_binary64_10346` `div-inv_binary64_10396` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `div-exp_binary64_10450`
1×	`associate-r/_binary64_10341` `sum-log_binary64_10490` `frac-2neg_binary64_10410` `-commutative_binary64_10330` `flip3-+_binary64_10402` `flip-+_binary64_10373` `+-commutative_binary64_10329` `div-sub_binary64_10404` `pow-prod-down_binary64_10470` `clear-num_binary64_10398`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series521.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

245.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
177.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
98.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6265	2068

prune87.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

Compiler

Compiled 2303 to 476 computations (79.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
7.5b	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))

rewrite120.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

263×	`times-frac_binary64_10405`
204×	`add-sqr-sqrt_binary64_10421`
195×	`*-un-lft-identity_binary64_10399`
143×	`associate-r_binary64_10339`
111×	`add-cube-cbrt_binary64_10434`
91×	`cbrt-prod_binary64_10430`
42×	`difference-of-squares_binary64_10368` `distribute-lft-out--_binary64_10351`
36×	`cbrt-div_binary64_10431`
25×	`add-exp-log_binary64_10437`
18×	`flip3--_binary64_10403` `flip--_binary64_10374`
17×	`add-cbrt-cube_binary64_10435`
16×	`frac-times_binary64_10409`
12×	`associate-*l/_binary64_10342`
9×	`pow1_binary64_10460` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448`
7×	`associate-/r/_binary64_10345`
6×	`cbrt-undiv_binary64_10433` `div-exp_binary64_10450`
5×	`associate-*r/_binary64_10341`
4×	`add-log-exp_binary64_10438` `div-inv_binary64_10396` `unswap-sqr_binary64_10367`
3×	`pow1/3_binary64_10481` `pow-prod-down_binary64_10470`
1×	`-commutative_binary64_10330` `associate-l*_binary64_10340`

Counts

4 → 232

Calls

4 calls:

62.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))

series801.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt.f64 (-.f64 z t))
217.0ms	(cbrt.f64 (-.f64 z t))
211.0ms	(cbrt.f64 (-.f64 z t))
155.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 y (/.f64 (-.f64 a t) (cbrt.f64 (-.f64 z t)))))

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4975	7142
1	4975	7142

prune228.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	244	6	250

Merged error: 0b

Counts

250 → 6

Compiler

Compiled 8007 to 1230 computations (84.6% saved)

regimes122.0ms (2%)

Compiler: Compiled 640 to 476 computations (25.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	87
1	45	87

end0.0ms (0%)

sample785.0ms (12.9%)

Algorithm

1×

intervals

Results

321.0ms	7999×	body	128	valid
27.0ms	716×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 184 to 119 computations (35.3% saved)

Details

analyze907.0ms (14.9%)

sample27.0ms (0.4%)

simplify309.0ms (5.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite38.0ms (0.6%)

series528.0ms (8.7%)

simplify58.0ms (1%)

prune128.0ms (2.1%)

localize8.0ms (0.1%)

rewrite85.0ms (1.4%)

series768.0ms (12.6%)

simplify91.0ms (1.5%)

prune191.0ms (3.1%)

localize8.0ms (0.1%)

rewrite45.0ms (0.7%)

series521.0ms (8.6%)

simplify74.0ms (1.2%)

prune87.0ms (1.4%)

localize12.0ms (0.2%)

rewrite120.0ms (2%)

series801.0ms (13.2%)

simplify129.0ms (2.1%)

prune228.0ms (3.7%)

regimes122.0ms (2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample785.0ms (12.9%)

Profiling