Details

analyze636.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3819	52
1	3819	52
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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify184.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

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

Error

5.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
5.9b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite117.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

71×	`add-sqr-sqrt_binary64_16809`
65×	`*-un-lft-identity_binary64_16787`
53×	`times-frac_binary64_16793`
24×	`difference-of-squares_binary64_16756`
23×	`add-cube-cbrt_binary64_16822`
13×	`cancel-sign-sub-inv_binary64_16753`
9×	`distribute-lft-out_binary64_16738`
8×	`associate-/r*_binary64_16731`
6×	`distribute-lft-out--_binary64_16739`
4×	`add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823` `associate-/l*_binary64_16732`
2×	`pow1_binary64_16848` `div-inv_binary64_16784` `associate-/l/_binary64_16734` `flip3--_binary64_16791` `associate-/r/_binary64_16733` `flip--_binary64_16762`
1×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3-+_binary64_16790` `flip-+_binary64_16761` `diff-log_binary64_16879` `sub-neg_binary64_16780`

Counts

2 → 89

Calls

2 calls:

11.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
7.0ms	(-.f64 1 (/.f64 y z))

Compiler

Compiled 1713 to 711 computations (58.5% saved)

series305.0ms (3.5%)

Error

0.1b

Counts

2 → 38

Calls

2 calls:

204.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
61.0ms	(-.f64 1 (/.f64 y z))

Compiler

Compiled 1391 to 945 computations (32.1% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	2426

prune110.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Error

0.0b

Counts

128 → 7

Compiler

Compiled 2165 to 827 computations (61.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.3b	(/.f64 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z)))))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))

rewrite211.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_16809`
30×	`cbrt-div_binary64_16819`
24×	`cbrt-prod_binary64_16818`
19×	`*-un-lft-identity_binary64_16787`
16×	`add-exp-log_binary64_16825`
12×	`difference-of-squares_binary64_16756`
9×	`flip3--_binary64_16791` `flip--_binary64_16762`
8×	`add-cbrt-cube_binary64_16823` `frac-times_binary64_16797` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733`
7×	`add-cube-cbrt_binary64_16822` `times-frac_binary64_16793`
6×	`flip3-+_binary64_16790` `flip-+_binary64_16761`
4×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `associate-l/_binary64_16730` `associate-r/_binary64_16729`
3×	`pow1/3_binary64_16869` `distribute-lft-out--_binary64_16739`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `associate-/r_binary64_16731`

Counts

4 → 91

Calls

4 calls:

27.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z)))))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 4288 to 1778 computations (58.5% saved)

series1.1s (13.1%)

Error

0.0b

Counts

4 → 74

Calls

4 calls:

577.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z)))))
148.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
136.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
132.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 8514 to 5417 computations (36.4% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	4101
1	4973	4101

prune278.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	164	8	172

Error

0.0b

Counts

172 → 8

Compiler

Compiled 7104 to 3081 computations (56.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
6.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))

rewrite193.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-sqr-sqrt_binary64_16809`
32×	`cbrt-prod_binary64_16818`
24×	`*-un-lft-identity_binary64_16787`
16×	`difference-of-squares_binary64_16756`
8×	`add-cube-cbrt_binary64_16822` `cbrt-div_binary64_16819` `times-frac_binary64_16793`
4×	`pow1/3_binary64_16869` `pow1_binary64_16848` `add-log-exp_binary64_16826` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `flip3--_binary64_16791` `flip--_binary64_16762` `distribute-lft-out--_binary64_16739`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 4316 to 2052 computations (52.5% saved)

series770.0ms (8.9%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

157.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
153.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
148.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
143.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 9876 to 5807 computations (41.2% saved)

simplify113.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5550	2312

prune341.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	8	152

Error

0.0b

Counts

152 → 8

Compiler

Compiled 8262 to 3836 computations (53.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
0.2b	(pow.f64 (-.f64 1 (/.f64 y z)) 3)
5.9b	(/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3)))
14.5b	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3))

rewrite370.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

183×	`add-sqr-sqrt_binary64_16809`
175×	`*-un-lft-identity_binary64_16787`
139×	`times-frac_binary64_16793`
132×	`cbrt-prod_binary64_16818`
63×	`add-cube-cbrt_binary64_16822`
60×	`difference-of-squares_binary64_16756`
56×	`unpow-prod-down_binary64_16866` `cube-prod_binary64_16815`
26×	`distribute-lft-out_binary64_16738`
25×	`associate-/r*_binary64_16731`
15×	`distribute-lft-out--_binary64_16739`
13×	`cancel-sign-sub-inv_binary64_16753`
7×	`add-exp-log_binary64_16825` `unpow3_binary64_16853` `cube-mult_binary64_16817` `sqr-pow_binary64_16759`
6×	`add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823` `cube-div_binary64_16816`
5×	`pow1_binary64_16848`
4×	`flip3--_binary64_16791` `cbrt-div_binary64_16819` `flip--_binary64_16762` `associate-/l*_binary64_16732`
3×	`pow-unpow_binary64_16864`
2×	`div-inv_binary64_16784` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733`
1×	`pow1/3_binary64_16869` `rem-cbrt-cube_binary64_16811` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3-+_binary64_16790` `flip-+_binary64_16761` `pow-pow_binary64_16859` `pow-to-exp_binary64_16856` `pow-exp_binary64_16855` `rem-cube-cbrt_binary64_16810` `diff-log_binary64_16879` `sub-neg_binary64_16780`

Counts

4 → 242

Calls

4 calls:

21.0ms	(/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3)))
9.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3))
9.0ms	(pow.f64 (-.f64 1 (/.f64 y z)) 3)
8.0ms	(-.f64 1 (/.f64 y z))

Compiler

Compiled 5938 to 3198 computations (46.1% saved)

series491.0ms (5.7%)

Error

Counts

4 → 74

Calls

4 calls:

201.0ms	(/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3)))
100.0ms	(pow.f64 (-.f64 1 (/.f64 y z)) 3)
66.0ms	(-.f64 1 (/.f64 y z))
64.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y z)) 3))

Compiler

Compiled 2711 to 1947 computations (28.2% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4998	6443
1	4998	6443

prune272.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	316	8	324

Error

0.0b

Counts

324 → 8

Compiler

Compiled 5704 to 2523 computations (55.8% saved)

regimes848.0ms (9.8%)

Accuracy

Total 0.4b remaining (99%)

Threshold costs 0.4b (99%)

Compiler

Compiled 7206 to 4976 computations (30.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	92
1	110	92

end0.0ms (0%)

sample1.9s (22.2%)

Algorithm

1×

intervals

Results

236.0ms

8000×

body

128

valid

Compiler

Compiled 1873 to 1282 computations (31.6% saved)

Details

analyze636.0ms (7.4%)

sample18.0ms (0.2%)

simplify184.0ms (2.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite117.0ms (1.4%)

series305.0ms (3.5%)

simplify72.0ms (0.8%)

prune110.0ms (1.3%)

localize17.0ms (0.2%)

rewrite211.0ms (2.4%)

series1.1s (13.1%)

simplify88.0ms (1%)

prune278.0ms (3.2%)

localize19.0ms (0.2%)

rewrite193.0ms (2.2%)

series770.0ms (8.9%)

simplify113.0ms (1.3%)

prune341.0ms (4%)

localize9.0ms (0.1%)

rewrite370.0ms (4.3%)

series491.0ms (5.7%)

simplify100.0ms (1.2%)

prune272.0ms (3.2%)

regimes848.0ms (9.8%)

bsearch4.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (22.2%)

Profiling