Details

analyze1.2s (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	104×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify172.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2182`
4×	`sum-log_binary64_2234`
2×	`pow1_binary64_2204` `+-commutative_binary64_2073` `add-sqr-sqrt_binary64_2165` `add-exp-log_binary64_2181` `add-cube-cbrt_binary64_2178` `flip3-+_binary64_2146` `flip-+_binary64_2117` `*-un-lft-identity_binary64_2143` `add-cbrt-cube_binary64_2179`
1×	`associate-+l+_binary64_2076`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series201.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

125.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
76.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune27.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

Compiler

Compiled 649 to 161 computations (75.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2174`
23×	`add-sqr-sqrt_binary64_2165`
18×	`cbrt-div_binary64_2175`
15×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
11×	`pow1_binary64_2204`
9×	`flip3-+_binary64_2146` `flip-+_binary64_2117` `pow1/3_binary64_2225`
6×	`associate-r_binary64_2083` `add-exp-log_binary64_2181` `associate-l_binary64_2084` `swap-sqr_binary64_2110`
4×	`add-log-exp_binary64_2182` `frac-times_binary64_2153` `unswap-sqr_binary64_2111` `add-cbrt-cube_binary64_2179`
2×	`pow-sqr_binary64_2116` `pow-prod-up_binary64_2213` `pow-prod-down_binary64_2214` `associate-l/_binary64_2086` `associate-r/_binary64_2085`
1×	`pow2_binary64_2224` `pow-plus_binary64_2206` `cbrt-unprod_binary64_2176` `prod-exp_binary64_2192` `*-commutative_binary64_2074`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series1.6s (20%)

Counts

4 → 12

Calls

4 calls:

623.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
330.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
318.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
317.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5096	3006

prune124.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

Compiler

Compiled 4816 to 618 computations (87.2% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

27.3b	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
27.3b	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
37.5b	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))
37.5b	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_2174`
12×	`*-un-lft-identity_binary64_2143`
8×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `cbrt-div_binary64_2175`
4×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `add-exp-log_binary64_2181` `flip3-+_binary64_2146` `flip-+_binary64_2117` `add-cbrt-cube_binary64_2179` `pow1/3_binary64_2225`
2×	`sum-cubes_binary64_2144` `distribute-lft-out_binary64_2094`

Counts

4 → 56

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))
12.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))
5.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
5.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))

series2.8s (35.9%)

Counts

4 → 12

Calls

4 calls:

941.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
925.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 2) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
501.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))
478.0ms	(cbrt.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 (.f64 x y) (*.f64 z t)) 3)))

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5452	2970

prune226.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

Compiler

Compiled 7912 to 2098 computations (73.5% saved)

regimes157.0ms (2%)

Compiler: Compiled 1705 to 847 computations (50.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms (0%)

sample986.0ms (12.4%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
146.0ms	3947×	body	128	invalid

Compiler

Compiled 172 to 92 computations (46.5% saved)

Details

analyze1.2s (14.9%)

sample27.0ms (0.3%)

simplify172.0ms (2.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite13.0ms (0.2%)

series201.0ms (2.5%)

simplify64.0ms (0.8%)

prune27.0ms (0.3%)

localize14.0ms (0.2%)

rewrite49.0ms (0.6%)

series1.6s (20%)

simplify112.0ms (1.4%)

prune124.0ms (1.6%)

localize30.0ms (0.4%)

rewrite51.0ms (0.6%)

series2.8s (35.9%)

simplify48.0ms (0.6%)

prune226.0ms (2.8%)

regimes157.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample986.0ms (12.4%)

Profiling