Details

analyze1.4s (15.4%)

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
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	106×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune3.0ms (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

3.4b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
0.2b	(.f64 (.f64 y 9) z)
5.5b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_16143` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141`
12×	`cbrt-unprod_binary64_16138` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154`
9×	`add-log-exp_binary64_16144` `associate-r_binary64_16045`
7×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
3×	`-commutative_binary64_16036` `associate-l*_binary64_16046`
2×	`associate-+l+_binary64_16038` `sum-log_binary64_16196`
1×	`flip-+_binary64_16079` `diff-log_binary64_16197` `sub-neg_binary64_16098` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `cancel-sign-sub-inv_binary64_16071` `associate-+l-_binary64_16040`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 a 27) b)
5.0ms	(.f64 (.f64 y 9) z)

series723.0ms (8%)

Counts

4 → 57

Calls

4 calls:

490.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
122.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
58.0ms	(.f64 (.f64 a 27) b)
52.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1456 to 1514 computations (-4% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4982	1863
1	4982	1863

prune151.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Error

0.0b

Counts

130 → 10

Compiler

Compiled 2577 to 1671 computations (35.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 y (.f64 9 z))
0.2b	(.f64 (.f64 a 27) b)
5.5b	(.f64 (.f64 y (*.f64 9 z)) t)

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_16143` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141`
12×	`cbrt-unprod_binary64_16138` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154`
9×	`add-log-exp_binary64_16144`
7×	`-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `associate-r*_binary64_16045`
5×	`associate-l_binary64_16046`
3×	`*-commutative_binary64_16036`
2×	`associate-+l+_binary64_16038` `sum-log_binary64_16196`
1×	`flip-+_binary64_16079` `diff-log_binary64_16197` `sub-neg_binary64_16098` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `cancel-sign-sub-inv_binary64_16071` `associate-+l-_binary64_16040`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
5.0ms	(.f64 y (.f64 9 z))
5.0ms	(.f64 (.f64 a 27) b)

series695.0ms (7.7%)

Counts

4 → 57

Calls

4 calls:

483.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
107.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
55.0ms	(.f64 (.f64 a 27) b)
50.0ms	(.f64 y (.f64 9 z))

Compiler

Compiled 1456 to 1514 computations (-4% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4951	1864
1	4951	1864

prune126.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	129	10	139

Error

0.0b

Counts

139 → 10

Compiler

Compiled 2562 to 1656 computations (35.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
0.2b	(.f64 a (.f64 27 b))
0.2b	(.f64 (.f64 y 9) z)
5.5b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_16143` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141`
12×	`cbrt-unprod_binary64_16138` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154`
9×	`add-log-exp_binary64_16144`
7×	`-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `associate-r*_binary64_16045`
5×	`associate-l_binary64_16046`
3×	`*-commutative_binary64_16036`
2×	`associate-+l+_binary64_16038` `sum-log_binary64_16196`
1×	`flip-+_binary64_16079` `diff-log_binary64_16197` `sub-neg_binary64_16098` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `cancel-sign-sub-inv_binary64_16071` `associate-+l-_binary64_16040`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
8.0ms	(.f64 (.f64 y 9) z)
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 a (.f64 27 b))

series706.0ms (7.8%)

Counts

4 → 57

Calls

4 calls:

477.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
116.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
57.0ms	(.f64 (.f64 y 9) z)
55.0ms	(.f64 a (.f64 27 b))

Compiler

Compiled 1456 to 1514 computations (-4% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	1861
1	4954	1861

prune130.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	129	10	139

Error

0.0b

Counts

139 → 10

Compiler

Compiled 2545 to 1639 computations (35.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 (.f64 (*.f64 y 9) z) t)
15.9b	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
15.9b	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
15.9b	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_16143` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141`
6×	`cbrt-unprod_binary64_16138` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154`
5×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
4×	`add-log-exp_binary64_16144`
3×	`pow1/3_binary64_16187` `associate-r_binary64_16045` `cbrt-prod_binary64_16136`
1×	`-commutative_binary64_16036` `associate-l*_binary64_16046`

Counts

4 → 48

Calls

4 calls:

7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))

series1.3s (14.1%)

Counts

4 → 36

Calls

4 calls:

392.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
388.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
368.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 y 9) z) t))
120.0ms	(.f64 (.f64 (*.f64 y 9) z) t)

Compiler

Compiled 2934 to 2502 computations (14.7% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5124	1094

prune143.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Error

0.0b

Counts

94 → 10

Compiler

Compiled 3260 to 2138 computations (34.4% saved)

regimes1.4s (15.8%)

Accuracy

Total 0.6b remaining (95.9%)

Threshold costs 0.6b (95.9%)

Compiler

Compiled 10568 to 10509 computations (0.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 9 computations (-80% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	76
1	140	76

end0.0ms (0%)

sample1.6s (17.4%)

Algorithm

1×

intervals

Results

394.0ms	8000×	body	128	valid
153.0ms	2997×	body	128	invalid

Compiler

Compiled 684 to 662 computations (3.2% saved)

Details

analyze1.4s (15.4%)

sample37.0ms (0.4%)

simplify143.0ms (1.6%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite32.0ms (0.4%)

series723.0ms (8%)

simplify95.0ms (1.1%)

prune151.0ms (1.7%)

localize12.0ms (0.1%)

rewrite31.0ms (0.3%)

series695.0ms (7.7%)

simplify83.0ms (0.9%)

prune126.0ms (1.4%)

localize12.0ms (0.1%)

rewrite34.0ms (0.4%)

series706.0ms (7.8%)

simplify81.0ms (0.9%)

prune130.0ms (1.4%)

localize17.0ms (0.2%)

rewrite27.0ms (0.3%)

series1.3s (14.1%)

simplify64.0ms (0.7%)

prune143.0ms (1.6%)

regimes1.4s (15.8%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.6s (17.4%)

Profiling