Details

analyze511.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	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
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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	537	13
1	537	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

2.6b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
0.0b	(*.f64 (-.f64 1 y) z)
2.4b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite89.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

14×	`add-sqr-sqrt_binary64_23288`
10×	`*-un-lft-identity_binary64_23266`
9×	`associate-l_binary64_23207`
7×	`pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `add-cube-cbrt_binary64_23301`
6×	`associate-r_binary64_23206`
5×	`add-log-exp_binary64_23305`
3×	`sub-neg_binary64_23259` `cancel-sign-sub-inv_binary64_23232` `flip3--_binary64_23270` `flip--_binary64_23241`
2×	`pow-prod-down_binary64_23337` `prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `unswap-sqr_binary64_23234` `distribute-rgt-in_binary64_23216` `distribute-lft-in_binary64_23215` `associate-r/_binary64_23208` `-commutative_binary64_23197` `associate-*l/_binary64_23209` `difference-of-squares_binary64_23235`
1×	`distribute-lft-out--_binary64_23218` `diff-log_binary64_23358`

Counts

3 → 59

Calls

3 calls:

11.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
7.0ms	(*.f64 (-.f64 1 y) z)
3.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Compiler

Compiled 982 to 698 computations (28.9% saved)

series278.0ms (5.4%)

Error

2.5b

Counts

3 → 36

Calls

3 calls:

133.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
68.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
59.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 781 to 551 computations (29.4% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5021	1081

prune80.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Error

2.4b

Counts

96 → 9

Compiler

Compiled 1274 to 672 computations (47.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z y) z)
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
2.5b	(.f64 x (-.f64 (.f64 z y) z))

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.4b

Rules

15×	`cancel-sign-sub-inv_binary64_23232`
12×	`add-sqr-sqrt_binary64_23288`
10×	`add-cube-cbrt_binary64_23301` `*-un-lft-identity_binary64_23266`
8×	`distribute-rgt-in_binary64_23216` `distribute-lft-in_binary64_23215` `associate-+r+_binary64_23198`
7×	`add-log-exp_binary64_23305`
5×	`pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `sub-neg_binary64_23259`
3×	`associate-l_binary64_23207` `associate-r_binary64_23206`
2×	`flip3--_binary64_23270` `associate-*r/_binary64_23208` `flip--_binary64_23241`
1×	`pow-prod-down_binary64_23337` `prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `unswap-sqr_binary64_23234` `*-commutative_binary64_23197` `sum-log_binary64_23357` `flip3-+_binary64_23269` `flip-+_binary64_23240` `+-commutative_binary64_23196` `diff-log_binary64_23358`

Counts

3 → 61

Calls

3 calls:

7.0ms	(.f64 x (-.f64 (.f64 z y) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
4.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 1028 to 239 computations (76.8% saved)

series340.0ms (6.7%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

142.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
125.0ms	(.f64 x (-.f64 (.f64 z y) z))
50.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 868 to 524 computations (39.6% saved)

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4934	1138
1	4934	1138

prune64.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Error

2.4b

Counts

106 → 10

Compiler

Compiled 1334 to 329 computations (75.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z))))
0.0b	(+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z)))
7.0b	(.f64 x (.f64 z y))

rewrite62.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-log-exp_binary64_23305`
8×	`pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
7×	`sum-log_binary64_23357`
6×	`*-un-lft-identity_binary64_23266`
4×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `associate-+r-_binary64_23200`
3×	`pow-prod-down_binary64_23337` `prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `associate-l_binary64_23207`
2×	`neg-log_binary64_23359` `flip3-+_binary64_23269` `unsub-neg_binary64_23260` `flip-+_binary64_23240` `distribute-lft-out_binary64_23217` `neg-sub0_binary64_23261` `+-commutative_binary64_23196`
1×	`associate-r_binary64_23206` `*-commutative_binary64_23197` `distribute-rgt-neg-in_binary64_23224` `associate-+r+_binary64_23198`

Counts

3 → 50

Calls

3 calls:

11.0ms	(+.f64 x (+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z))))
6.0ms	(+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z)))
5.0ms	(.f64 x (.f64 z y))

Compiler

Compiled 989 to 206 computations (79.2% saved)

series397.0ms (7.8%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

149.0ms	(+.f64 x (+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z))))
145.0ms	(+.f64 (.f64 x (.f64 z y)) (neg.f64 (*.f64 x z)))
86.0ms	(.f64 x (.f64 z y))

Compiler

Compiled 988 to 551 computations (44.2% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5272	994

prune58.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Error

0.0b

Counts

96 → 8

Compiler

Compiled 1217 to 275 computations (77.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z))))
0.0b	(+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z)))
3.7b	(.f64 (.f64 x z) y)

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-log-exp_binary64_23305`
8×	`pow1_binary64_23327` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
7×	`sum-log_binary64_23357`
6×	`*-un-lft-identity_binary64_23266`
4×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `associate-+r-_binary64_23200`
3×	`pow-prod-down_binary64_23337` `prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `associate-r_binary64_23206`
2×	`neg-log_binary64_23359` `flip3-+_binary64_23269` `unsub-neg_binary64_23260` `flip-+_binary64_23240` `neg-sub0_binary64_23261` `+-commutative_binary64_23196`
1×	`associate-l_binary64_23207` `*-commutative_binary64_23197` `distribute-lft-out_binary64_23217` `associate-+r+_binary64_23198`

Counts

3 → 49

Calls

3 calls:

12.0ms	(+.f64 x (+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z))))
7.0ms	(+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z)))
5.0ms	(.f64 (.f64 x z) y)

Compiler

Compiled 979 to 203 computations (79.3% saved)

series375.0ms (7.3%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

139.0ms	(+.f64 x (+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z))))
129.0ms	(+.f64 (.f64 (.f64 x z) y) (neg.f64 (*.f64 x z)))
91.0ms	(.f64 (.f64 x z) y)

Compiler

Compiled 988 to 551 computations (44.2% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5012	989

prune46.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 1081 to 183 computations (83.1% saved)

regimes858.0ms (16.8%)

Accuracy

Total 0.4b remaining (98.8%)

Threshold costs 0.4b (98.8%)

Compiler

Compiled 7166 to 5617 computations (21.6% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 5 to 6 computations (-20% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	393	66
1	393	66

end0.0ms (0%)

sample1.4s (27.9%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
19.0ms	689×	body	128	invalid

Compiler

Compiled 999 to 757 computations (24.2% saved)

Details

analyze511.0ms (10%)

sample18.0ms (0.4%)

simplify35.0ms (0.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite89.0ms (1.7%)

series278.0ms (5.4%)

simplify59.0ms (1.2%)

prune80.0ms (1.6%)

localize6.0ms (0.1%)

rewrite61.0ms (1.2%)

series340.0ms (6.7%)

simplify93.0ms (1.8%)

prune64.0ms (1.3%)

localize8.0ms (0.2%)

rewrite62.0ms (1.2%)

series397.0ms (7.8%)

simplify79.0ms (1.5%)

prune58.0ms (1.1%)

localize7.0ms (0.1%)

rewrite61.0ms (1.2%)

series375.0ms (7.3%)

simplify65.0ms (1.3%)

prune46.0ms (0.9%)

regimes858.0ms (16.8%)

bsearch5.0ms (0.1%)

simplify13.0ms (0.3%)

end0.0ms (0%)

sample1.4s (27.9%)

Profiling