Details

analyze2.3s (19.7%)

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
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample53.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	142×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune10.0ms (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

Error

7.2b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
0.4b	(.f64 (.f64 x 9) y)
2.7b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite72.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
18×	`times-frac_binary64_13383`
13×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
9×	`pow1_binary64_13438`
6×	`associate-/r_binary64_13321` `add-log-exp_binary64_13416` `associate-/l_binary64_13322`
4×	`associate-/l/_binary64_13324`
3×	`prod-exp_binary64_13426` `associate-r_binary64_13317` `cbrt-unprod_binary64_13410` `pow-prod-down_binary64_13448` `flip-+_binary64_13351` `flip3-+_binary64_13380`
2×	`div-inv_binary64_13374` `clear-num_binary64_13376` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `frac-2neg_binary64_13388`
1×	`+-commutative_binary64_13307` `sum-log_binary64_13468` `-commutative_binary64_13308` `associate-l*_binary64_13318`

Counts

4 → 87

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
12.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.0ms	(.f64 (.f64 x 9) y)

series494.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
181.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
76.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
27.0ms	(.f64 (.f64 x 9) y)

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5785	2384

prune238.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Error

6.6b

Counts

101 → 11

Compiler

Compiled 2795 to 1646 computations (41.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.1b	(/.f64 (*.f64 t a) c)
7.0b	(/.f64 b (*.f64 z c))
7.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
15×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410`
12×	`add-sqr-sqrt_binary64_13399` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
10×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
8×	`times-frac_binary64_13383`
6×	`pow1_binary64_13438`
5×	`associate-r_binary64_13317` `associate-/r_binary64_13321` `associate-/l_binary64_13322`
4×	`div-inv_binary64_13374` `add-log-exp_binary64_13416`
3×	`clear-num_binary64_13376` `associate-l_binary64_13318` `frac-2neg_binary64_13388`
1×	`unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `associate-r/_binary64_13319`

Counts

4 → 92

Calls

4 calls:

16.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 (*.f64 t a) c)
4.0ms	(/.f64 b (*.f64 z c))

series153.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
45.0ms	(/.f64 (.f64 x y) (.f64 z c))
21.0ms	(/.f64 b (*.f64 z c))
18.0ms	(/.f64 (*.f64 t a) c)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4965	1189
1	4965	1189

prune180.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Error

0.0b

Counts

115 → 10

Compiler

Compiled 2988 to 1069 computations (64.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.4b	(*.f64 t (/.f64 a c))
7.0b	(/.f64 b (*.f64 z c))
7.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
23×	`add-sqr-sqrt_binary64_13399`
18×	`associate-r_binary64_13317`
16×	`prod-exp_binary64_13426` `add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `cbrt-unprod_binary64_13410`
15×	`times-frac_binary64_13383`
11×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
8×	`pow1_binary64_13438`
6×	`associate-l_binary64_13318`
4×	`div-inv_binary64_13374` `add-log-exp_binary64_13416` `associate-/l*_binary64_13322`
3×	`unswap-sqr_binary64_13345`
2×	`clear-num_binary64_13376` `associate-/r_binary64_13321` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `associate-*r/_binary64_13319` `frac-2neg_binary64_13388`

Counts

4 → 103

Calls

4 calls:

20.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(*.f64 t (/.f64 a c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 b (*.f64 z c))

series136.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
37.0ms	(*.f64 t (/.f64 a c))
37.0ms	(/.f64 (.f64 x y) (.f64 z c))
19.0ms	(/.f64 b (*.f64 z c))

simplify142.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4985	1318
1	4985	1318

prune151.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	115	10	125

Error

0.0b

Counts

125 → 10

Compiler

Compiled 3312 to 1151 computations (65.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.1b	(/.f64 (*.f64 t a) c)
5.1b	(/.f64 x (/.f64 z (/.f64 y c)))
5.2b	(/.f64 z (/.f64 y c))
7.0b	(/.f64 b (*.f64 z c))

rewrite82.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

477×	`times-frac_binary64_13383`
235×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
61×	`associate-/r*_binary64_13321`
28×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
24×	`div-inv_binary64_13374`
13×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
10×	`associate-/l*_binary64_13322`
6×	`associate-/r/_binary64_13323`
4×	`clear-num_binary64_13376` `pow1_binary64_13438` `add-log-exp_binary64_13416` `frac-2neg_binary64_13388`
2×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410`

Counts

4 → 308

Calls

4 calls:

18.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
8.0ms	(/.f64 (*.f64 t a) c)
7.0ms	(/.f64 b (*.f64 z c))
6.0ms	(/.f64 z (/.f64 y c))

series121.0ms (1%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
31.0ms	(/.f64 b (*.f64 z c))
29.0ms	(/.f64 z (/.f64 y c))
28.0ms	(/.f64 (*.f64 t a) c)

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4996	6617
1	4996	6617

prune482.0ms (4.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	319	11	330

Error

Counts

330 → 11

Compiler

Compiled 10316 to 2780 computations (73.1% saved)

regimes2.6s (22.3%)

Accuracy

Total 8.0b remaining (95.5%)

Threshold costs 0b (0%)

Compiler

Compiled 13454 to 11414 computations (15.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 9 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	156	217
1	156	217

end0.0ms (0%)

sample3.6s (31.1%)

Algorithm

1×

intervals

Results

736.0ms	8000×	body	128	valid
445.0ms	4781×	body	128	invalid

Compiler

Compiled 1590 to 1228 computations (22.8% saved)

Details

analyze2.3s (19.7%)

sample53.0ms (0.5%)

simplify210.0ms (1.8%)

prune10.0ms (0.1%)

localize30.0ms (0.3%)

rewrite72.0ms (0.6%)

series494.0ms (4.2%)

simplify129.0ms (1.1%)

prune238.0ms (2%)

localize19.0ms (0.2%)

rewrite39.0ms (0.3%)

series153.0ms (1.3%)

simplify110.0ms (0.9%)

prune180.0ms (1.5%)

localize16.0ms (0.1%)

rewrite53.0ms (0.5%)

series136.0ms (1.2%)

simplify142.0ms (1.2%)

prune151.0ms (1.3%)

localize17.0ms (0.1%)

rewrite82.0ms (0.7%)

series121.0ms (1%)

simplify210.0ms (1.8%)

prune482.0ms (4.1%)

regimes2.6s (22.3%)

bsearch3.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.6s (31.1%)

Profiling