Details

analyze813.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3763	60
1	3763	60
0	3	3
1	3	3

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Symmetry

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
2.2b	(*.f64 (/.f64 x y) z)

rewrite110.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-l/_binary64_21` `associate-r_binary64_18` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

3 → 79

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series436.0ms (8.3%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

244.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
103.0ms	(*.f64 (/.f64 x y) z)
65.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5171	1334

prune99.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Error

Counts

114 → 5

Compiler

Compiled 1850 to 891 computations (51.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))

rewrite89.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2254 to 692 computations (69.3% saved)

series328.0ms (6.2%)

Error

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
75.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 x)

Compiler

Compiled 1023 to 631 computations (38.3% saved)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5009	594

prune90.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 2501 to 803 computations (67.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (/.f64 x y))
0.0b	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
2.2b	(*.f64 (/.f64 x y) z)

rewrite102.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_78`
18×	`add-sqr-sqrt_binary64_100`
16×	`times-frac_binary64_84`
13×	`add-cube-cbrt_binary64_113` `associate-l_binary64_19`
10×	`add-log-exp_binary64_117`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139`
4×	`associate-*l/_binary64_21` `distribute-lft-out_binary64_29`
3×	`div-inv_binary64_75` `associate-r_binary64_18` `frac-sub_binary64_87`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `sum-log_binary64_169` `diff-log_binary64_170` `frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `*-commutative_binary64_9` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15` `distribute-rgt-out_binary64_31` `+-commutative_binary64_8`

Counts

3 → 66

Calls

3 calls:

20.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
13.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
7.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1522 to 642 computations (57.8% saved)

series479.0ms (9.1%)

Error

Counts

3 → 33

Calls

3 calls:

250.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
106.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
104.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1178 to 800 computations (32.1% saved)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4960	1297
1	4960	1297

prune83.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Error

Counts

104 → 5

Compiler

Compiled 1750 to 771 computations (55.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.1b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
1.4b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite110.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64_116`
21×	`add-cbrt-cube_binary64_114`
18×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
17×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
14×	`associate-l_binary64_19`
10×	`times-frac_binary64_84`
9×	`pow-prod-down_binary64_149` `cbrt-prod_binary64_109`
7×	`associate-r_binary64_18`
4×	`div-exp_binary64_129` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112`
3×	`associate-*l/_binary64_21`
2×	`unswap-sqr_binary64_46` `*-commutative_binary64_9` `pow1/3_binary64_160`
1×	`div-inv_binary64_75`

Counts

4 → 86

Calls

4 calls:

13.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2191 to 731 computations (66.6% saved)

series637.0ms (12.1%)

Error

Counts

4 → 24

Calls

4 calls:

356.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
116.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
72.0ms	(cbrt.f64 z)
71.0ms	(cbrt.f64 z)

Compiler

Compiled 1263 to 924 computations (26.8% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5003	1058

prune97.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Error

Counts

115 → 5

Compiler

Compiled 2154 to 986 computations (54.2% saved)

regimes267.0ms (5.1%)

Accuracy

Total 0.7b remaining (99.3%)

Threshold costs 0.7b (99.3%)

Compiler

Compiled 2667 to 2006 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

Removed

()

end0.0ms (0%)

sample1.1s (21.6%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
45.0ms	1170×	body	128	invalid

Compiler

Compiled 562 to 420 computations (25.3% saved)

Details

analyze813.0ms (15.5%)

sample22.0ms (0.4%)

simplify54.0ms (1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite110.0ms (2.1%)

series436.0ms (8.3%)

simplify73.0ms (1.4%)

prune99.0ms (1.9%)

localize17.0ms (0.3%)

rewrite89.0ms (1.7%)

series328.0ms (6.2%)

simplify69.0ms (1.3%)

prune90.0ms (1.7%)

localize8.0ms (0.2%)

rewrite102.0ms (1.9%)

series479.0ms (9.1%)

simplify56.0ms (1.1%)

prune83.0ms (1.6%)

localize12.0ms (0.2%)

rewrite110.0ms (2.1%)

series637.0ms (12.1%)

simplify55.0ms (1%)

prune97.0ms (1.8%)

regimes267.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (21.6%)

Profiling