Details

analyze2.8s (27%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample87.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
15.0ms	178×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify162.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

prune5.0ms (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 30 to 30 computations (0% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_3527`
10×	`sum-log_binary64_3579`
3×	`add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526` `flip-+_binary64_3462` `flip3-+_binary64_3491` `+-commutative_binary64_3418` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
2×	`associate-+l+_binary64_3421`

Counts

3 → 38

Calls

3 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
13.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
7.0ms	(+.f64 (.f64 x y) (.f64 z t))

series576.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

401.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
107.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
68.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5206	1004

prune70.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

Compiler

Compiled 1051 to 182 computations (82.7% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_3527`
10×	`sum-log_binary64_3579`
7×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
5×	`*-un-lft-identity_binary64_3488`
4×	`frac-add_binary64_3496`
3×	`add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510` `add-exp-log_binary64_3526` `+-commutative_binary64_3418` `add-cube-cbrt_binary64_3523` `pow1_binary64_3549`
1×	`distribute-lft-out_binary64_3439` `associate-+r+_binary64_3420` `associate-+l+_binary64_3421`

Counts

3 → 43

Calls

3 calls:

17.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 a b) (.f64 c i)))
7.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (.f64 a b) (.f64 c i))

series537.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

406.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 a b) (.f64 c i)))
68.0ms	(+.f64 (.f64 x y) (.f64 z t))
63.0ms	(+.f64 (.f64 a b) (.f64 c i))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5014	1388

prune84.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

Compiler

Compiled 1434 to 243 computations (83.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (cbrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
1.3b	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
1.3b	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
1.3b	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
6×	`swap-sqr_binary64_3455` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`unswap-sqr_binary64_3456` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `add-log-exp_binary64_3527`
2×	`associate-l/_binary64_3431` `pow-prod-up_binary64_3558` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (cbrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
8.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
7.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
7.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))

series985.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (cbrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
244.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
223.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
216.0ms	(cbrt.f64 (+.f64 (.f64 a b) (.f64 c i)))

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5002	2183

prune194.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

Compiler

Compiled 4130 to 698 computations (83.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (sqrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
0.8b	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
0.8b	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))

rewrite67.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3510`
24×	`sqrt-prod_binary64_3504`
21×	`pow1_binary64_3549`
16×	`sqrt-div_binary64_3505`
14×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
10×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
8×	`swap-sqr_binary64_3455`
6×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
5×	`pow-prod-up_binary64_3558`
4×	`unswap-sqr_binary64_3456` `frac-times_binary64_3498` `rem-sqrt-square_binary64_3501`
3×	`pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
2×	`associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`rem-square-sqrt_binary64_3500` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `pow2_binary64_3569` `pow-plus_binary64_3551` `sqr-abs_binary64_3503` `*-commutative_binary64_3419` `sum-log_binary64_3579` `sqrt-unprod_binary64_3508` `prod-exp_binary64_3537`

Counts

4 → 99

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (sqrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
7.0ms	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
7.0ms	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
7.0ms	(+.f64 (.f64 x y) (.f64 z t))

series377.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
121.0ms	(sqrt.f64 (+.f64 (.f64 a b) (.f64 c i)))
67.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (.f64 c i))) (sqrt.f64 (+.f64 (.f64 a b) (*.f64 c i))))
62.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5126	1980

prune164.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

Compiler

Compiled 3193 to 420 computations (86.8% saved)

regimes777.0ms (7.5%)

Compiler: Compiled 4963 to 3615 computations (27.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample2.8s (27.3%)

Algorithm

1×

intervals

Results

711.0ms	8000×	body	128	valid
542.0ms	5779×	body	128	invalid

Compiler

Compiled 352 to 258 computations (26.7% saved)

Details

analyze2.8s (27%)

sample87.0ms (0.8%)

simplify162.0ms (1.6%)

prune5.0ms (0%)

localize23.0ms (0.2%)

rewrite49.0ms (0.5%)

series576.0ms (5.6%)

simplify113.0ms (1.1%)

prune70.0ms (0.7%)

localize22.0ms (0.2%)

rewrite38.0ms (0.4%)

series537.0ms (5.2%)

simplify64.0ms (0.6%)

prune84.0ms (0.8%)

localize31.0ms (0.3%)

rewrite72.0ms (0.7%)

series985.0ms (9.5%)

simplify129.0ms (1.2%)

prune194.0ms (1.9%)

localize27.0ms (0.3%)

rewrite67.0ms (0.6%)

series377.0ms (3.6%)

simplify89.0ms (0.9%)

prune164.0ms (1.6%)

regimes777.0ms (7.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (27.3%)

Profiling