Details

analyze289.0ms (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	237×	body	128	valid
1.0ms	25×	body	128	invalid
1.0ms	9×	body	512	valid
1.0ms	4×	body	1024	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238`
3×	`distribute-lft-out_binary64_3098`
2×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182`
1×	`associate-+l+_binary64_3080`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series57.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
26.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5164	407

prune33.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

Compiler

Compiled 484 to 284 computations (41.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
8×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `add-cbrt-cube_binary64_3183` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`pow-prod-down_binary64_3218` `associate-*l/_binary64_3090` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
4.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
4.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

series337.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 d2))) (cbrt.f64 (*.f64 d1 (+.f64 3 d2))))
79.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
77.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
74.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4979	1552
1	4979	1552

prune123.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

Compiler

Compiled 2624 to 1734 computations (33.9% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.3b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
4.3b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
8.2b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
8.2b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_3169`
8×	`-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-r/_binary64_3089`
6×	`associate-l_binary64_3088`
4×	`cbrt-div_binary64_3179` `flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip3--_binary64_3151` `sub-neg_binary64_3140` `distribute-lft-in_binary64_3096` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`
2×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow1/3_binary64_3229` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `difference-of-squares_binary64_3116` `cbrt-unprod_binary64_3180` `cbrt-prod_binary64_3178`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
6.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

series398.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
155.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
40.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
38.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4868	1162
1	4868	1162

prune160.0ms (4.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

Compiler

Compiled 3689 to 2241 computations (39.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
4.3b	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
8.2b	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_3169`
8×	`associate-*r/_binary64_3089`
6×	`cbrt-div_binary64_3179` `*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
4×	`associate-r_binary64_3087` `add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229` `associate-l_binary64_3088` `cbrt-prod_binary64_3178`
2×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `flip3--_binary64_3151` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `difference-of-squares_binary64_3116` `cbrt-unprod_binary64_3180`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
4.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))

series344.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt.f64 (.f64 d1 (-.f64 9 (.f64 d2 d2))))
75.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
73.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 d2)))
42.0ms	(.f64 d1 (-.f64 9 (.f64 d2 d2)))

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4930	1088
1	4930	1088

prune123.0ms (3.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

Compiler

Compiled 2608 to 1636 computations (37.3% saved)

regimes187.0ms (5.3%)

Compiler: Compiled 2124 to 1700 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample990.0ms (27.8%)

Algorithm

1×

intervals

Results

231.0ms	7483×	body	128	valid
20.0ms	682×	body	128	invalid
20.0ms	164×	body	1024	valid
20.0ms	211×	body	512	valid
8.0ms	142×	body	256	valid

Compiler

Compiled 552 to 444 computations (19.6% saved)

Details

analyze289.0ms (8.1%)

sample18.0ms (0.5%)

simplify103.0ms (2.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite13.0ms (0.4%)

series57.0ms (1.6%)

simplify54.0ms (1.5%)

prune33.0ms (0.9%)

localize10.0ms (0.3%)

rewrite26.0ms (0.7%)

series337.0ms (9.5%)

simplify52.0ms (1.5%)

prune123.0ms (3.5%)

localize19.0ms (0.5%)

rewrite29.0ms (0.8%)

series398.0ms (11.2%)

simplify77.0ms (2.2%)

prune160.0ms (4.5%)

localize20.0ms (0.5%)

rewrite28.0ms (0.8%)

series344.0ms (9.7%)

simplify55.0ms (1.5%)

prune123.0ms (3.5%)

regimes187.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample990.0ms (27.8%)

Profiling