Details

analyze904.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
10.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify234.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite409.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_782`
22×	`*-un-lft-identity_binary64_760`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
10×	`associate-l_binary64_701`
9×	`associate-r_binary64_700` `cancel-sign-sub-inv_binary64_726`
8×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*r/_binary64_702` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712` `times-frac_binary64_766` `associate-/r*_binary64_704` `sub-neg_binary64_753`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `difference-of-sqr-1_binary64_730` `-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705` `diff-log_binary64_852`

Counts

4 → 96

Calls

4 calls:

24.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
16.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
15.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
14.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1706 to 1122 computations (34.2% saved)

series1.1s (9.9%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

433.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
298.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
256.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
81.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 892 to 692 computations (22.4% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4991	1752
1	4991	1752

prune267.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	132	9	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.0b

Counts

142 → 9

Compiler

Compiled 1522 to 760 computations (50.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
0.0b	(-.f64 m (*.f64 m m))
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))

rewrite340.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64_760`
23×	`add-sqr-sqrt_binary64_782`
16×	`add-cube-cbrt_binary64_795`
15×	`times-frac_binary64_766`
8×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
5×	`difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `associate-/l*_binary64_705`
4×	`associate-r_binary64_700`
3×	`associate-l_binary64_701` `associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `div-sub_binary64_765` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `associate-+r-_binary64_694` `+-commutative_binary64_690`

Counts

4 → 88

Calls

4 calls:

23.0ms	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))
19.0ms	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
11.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
6.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1655 to 572 computations (65.4% saved)

series1.1s (10.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

424.0ms	(.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))
332.0ms	(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
253.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
93.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 891 to 690 computations (22.6% saved)

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5433	1875

prune238.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.0b

Counts

142 → 9

Compiler

Compiled 1571 to 610 computations (61.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
0.1b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

rewrite398.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_782`
32×	`*-un-lft-identity_binary64_760`
31×	`times-frac_binary64_766`
24×	`add-cube-cbrt_binary64_795`
19×	`associate-r_binary64_700`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-log-exp_binary64_799`
8×	`difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
6×	`pow1_binary64_821`
5×	`associate-/l*_binary64_705`
3×	`associate-l_binary64_701` `associate-/r*_binary64_704`
2×	`div-exp_binary64_811` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `cbrt-undiv_binary64_794` `unswap-sqr_binary64_728` `div-inv_binary64_757` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `sum-log_binary64_851`
1×	`pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `neg-log_binary64_853` `flip3-+_binary64_763` `flip-+_binary64_734` `neg-sub0_binary64_755` `associate-+l-_binary64_695` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 103

Calls

4 calls:

20.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
11.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
10.0ms	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
6.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2090 to 467 computations (77.7% saved)

series1.2s (10.6%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

483.0ms	(+.f64 (neg.f64 m) (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)))
305.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
257.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
86.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 906 to 675 computations (25.5% saved)

simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4978	2078
1	4978	2078

prune276.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	145	6	151

Error

Counts

151 → 6

Compiler

Compiled 1884 to 503 computations (73.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (/.f64 m v))
0.0b	(-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (*.f64 m m) v))
0.2b	(.f64 m (-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (.f64 m m) v)))
13.0b	(/.f64 (*.f64 m m) v)

rewrite404.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`*-un-lft-identity_binary64_760`
24×	`add-sqr-sqrt_binary64_782`
21×	`cancel-sign-sub-inv_binary64_726`
14×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
11×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
9×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
7×	`associate-r_binary64_700`
6×	`pow1_binary64_821`
4×	`div-inv_binary64_757` `frac-sub_binary64_769` `associate-*r/_binary64_702` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
3×	`associate-/r_binary64_704` `sub-neg_binary64_753` `associate--l+_binary64_697` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-l*_binary64_701` `distribute-lft-out_binary64_711`
2×	`prod-exp_binary64_809` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `flip3--_binary64_764` `flip--_binary64_735` `sum-log_binary64_851` `diff-log_binary64_852`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l_binary64_705` `pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `-commutative_binary64_691` `+-commutative_binary64_690`

Counts

4 → 103

Calls

4 calls:

33.0ms	(.f64 m (-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (.f64 m m) v)))
23.0ms	(-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (*.f64 m m) v))
12.0ms	(+.f64 -1 (/.f64 m v))
10.0ms	(/.f64 (*.f64 m m) v)

Compiler

Compiled 2195 to 808 computations (63.2% saved)

series737.0ms (6.6%)

Error

Counts

4 → 48

Calls

4 calls:

285.0ms	(.f64 m (-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (.f64 m m) v)))
203.0ms	(-.f64 (+.f64 -1 (/.f64 m v)) (/.f64 (*.f64 m m) v))
148.0ms	(/.f64 (*.f64 m m) v)
87.0ms	(+.f64 -1 (/.f64 m v))

Compiler

Compiled 971 to 712 computations (26.7% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4960	2197
1	4960	2197

prune193.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Error

Counts

157 → 6

Compiler

Compiled 1526 to 549 computations (64% saved)

regimes1.4s (12.9%)

Accuracy

Total 0.2b remaining (88.9%)

Threshold costs 0.2b (88.9%)

Compiler

Compiled 11037 to 7772 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample1.3s (11.7%)

Algorithm

1×

intervals

Results

365.0ms	8000×	body	128	valid
219.0ms	8062×	pre	128	true
3.0ms	62×	body	128	invalid

Compiler

Compiled 131 to 102 computations (22.1% saved)

Details

analyze904.0ms (8.1%)

sample48.0ms (0.4%)

simplify234.0ms (2.1%)

prune5.0ms (0%)

localize19.0ms (0.2%)

rewrite409.0ms (3.7%)

series1.1s (9.9%)

simplify112.0ms (1%)

prune267.0ms (2.4%)

localize17.0ms (0.2%)

rewrite340.0ms (3%)

series1.1s (10.2%)

simplify119.0ms (1.1%)

prune238.0ms (2.1%)

localize16.0ms (0.1%)

rewrite398.0ms (3.6%)

series1.2s (10.6%)

simplify166.0ms (1.5%)

prune276.0ms (2.5%)

localize18.0ms (0.2%)

rewrite404.0ms (3.6%)

series737.0ms (6.6%)

simplify88.0ms (0.8%)

prune193.0ms (1.7%)

regimes1.4s (12.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.3s (11.7%)

Profiling