Details

analyze303.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4830	36
1	4830	36
0	2	2
1	2	2

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	6×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify151.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	1583	18
1	1583	18

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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite162.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_12354`
22×	`add-exp-log_binary64_12392`
20×	`add-sqr-sqrt_binary64_12376`
16×	`add-cbrt-cube_binary64_12390`
15×	`associate-r_binary64_12294`
14×	`pow1_binary64_12415`
12×	`add-cube-cbrt_binary64_12389`
7×	`prod-exp_binary64_12403`
6×	`add-log-exp_binary64_12393` `cancel-sign-sub-inv_binary64_12320`
5×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
4×	`sqrt-prod_binary64_12370` `associate-l_binary64_12295` `div-exp_binary64_12405` `distribute-lft-out_binary64_12305`
3×	`times-frac_binary64_12360` `div-inv_binary64_12351` `associate-/l*_binary64_12299` `distribute-lft-out--_binary64_12306`
2×	`unswap-sqr_binary64_12322` `-commutative_binary64_12285` `pow-flip_binary64_12428` `1-exp_binary64_12398` `rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `sub-neg_binary64_12347` `associate--l+_binary64_12291` `associate-r/_binary64_12296` `difference-of-squares_binary64_12323`
1×	`inv-pow_binary64_12439` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/r*_binary64_12298` `flip3--_binary64_12358` `flip--_binary64_12329` `difference-of-sqr-1_binary64_12324` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `+-commutative_binary64_12284`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
5.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
4.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2109 to 1565 computations (25.8% saved)

series250.0ms (4.3%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

126.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
67.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
18.0ms	(*.f64 3 (sqrt.f64 x))
17.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 956 to 796 computations (16.7% saved)

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4922	1421
1	4922	1421

prune139.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Error

0.0b

Counts

128 → 10

Compiler

Compiled 2236 to 1617 computations (27.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 x))
0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.3b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite172.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64_12376`
33×	`sqrt-prod_binary64_12370`
28×	`*-un-lft-identity_binary64_12354`
24×	`add-cube-cbrt_binary64_12389`
22×	`times-frac_binary64_12360` `associate-r_binary64_12294`
15×	`pow1_binary64_12415`
13×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
12×	`associate-l_binary64_12295`
7×	`associate-*r/_binary64_12296`
6×	`unswap-sqr_binary64_12322`
5×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
4×	`add-log-exp_binary64_12393`
3×	`*-commutative_binary64_12285` `sqrt-pow1_binary64_12372` `rem-sqrt-square_binary64_12367`
2×	`sqrt-div_binary64_12371` `div-inv_binary64_12351` `flip3-+_binary64_12357` `flip-+_binary64_12328`
1×	`difference-of-sqr--1_binary64_12325` `distribute-lft-out_binary64_12305` `pow1/2_binary64_12434` `inv-pow_binary64_12439` `pow-flip_binary64_12428`

Counts

4 → 115

Calls

4 calls:

9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
8.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
8.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2496 to 1841 computations (26.2% saved)

series219.0ms (3.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

99.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
69.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
18.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
13.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1142 to 905 computations (20.8% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	1541
1	4981	1541

prune158.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Error

Counts

149 → 8

Compiler

Compiled 2791 to 2052 computations (26.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.4b	(/.f64 1/3 (sqrt.f64 x))

rewrite152.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_12376`
25×	`*-un-lft-identity_binary64_12354`
23×	`add-cube-cbrt_binary64_12389`
18×	`times-frac_binary64_12360`
16×	`sqrt-prod_binary64_12370`
13×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
11×	`pow1_binary64_12415`
10×	`associate-*r/_binary64_12296`
9×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `associate-l_binary64_12295`
6×	`add-log-exp_binary64_12393` `associate-/r_binary64_12298` `associate-r*_binary64_12294`
4×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `flip3-+_binary64_12357` `flip-+_binary64_12328` `associate-+r+_binary64_12286`
3×	`associate-/l*_binary64_12299`
2×	`*-commutative_binary64_12285` `unswap-sqr_binary64_12322` `frac-add_binary64_12362`
1×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `difference-of-sqr--1_binary64_12325` `distribute-lft-out_binary64_12305` `sum-log_binary64_12445` `+-commutative_binary64_12284`

Counts

4 → 108

Calls

4 calls:

11.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
8.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
8.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
4.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 2254 to 1419 computations (37% saved)

series334.0ms (5.7%)

Error

Counts

4 → 30

Calls

4 calls:

142.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
91.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
66.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
16.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 1251 to 929 computations (25.7% saved)

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	1920

prune141.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Error

Counts

146 → 7

Compiler

Compiled 2514 to 1613 computations (35.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y))
0.3b	(*.f64 (sqrt.f64 x) -3)
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)

rewrite127.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_12376`
21×	`*-un-lft-identity_binary64_12354`
19×	`add-cube-cbrt_binary64_12389`
15×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
13×	`pow1_binary64_12415` `associate-r_binary64_12294`
10×	`associate-l_binary64_12295`
9×	`times-frac_binary64_12360`
8×	`sqrt-prod_binary64_12370`
5×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
4×	`add-log-exp_binary64_12393` `unswap-sqr_binary64_12322`
3×	`associate-/l_binary64_12299` `associate-/r_binary64_12298` `*-commutative_binary64_12285`
2×	`associate-*r/_binary64_12296`
1×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `flip3-+_binary64_12357` `flip-+_binary64_12328` `distribute-lft-out_binary64_12305`

Counts

4 → 94

Calls

4 calls:

12.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(*.f64 (sqrt.f64 x) -3)
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1999 to 1249 computations (37.5% saved)

series171.0ms (2.9%)

Error

Counts

4 → 18

Calls

4 calls:

105.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y))
19.0ms	(*.f64 (sqrt.f64 x) -3)
17.0ms	(/.f64 1/9 x)
15.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 813 to 638 computations (21.5% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4902	1164
1	4902	1164

prune144.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

Counts

119 → 7

Compiler

Compiled 2097 to 1304 computations (37.8% saved)

regimes537.0ms (9.1%)

Accuracy

Total 0.4b remaining (97.9%)

Threshold costs 0.4b (97.9%)

Compiler

Compiled 5754 to 5033 computations (12.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23

end0.0ms (0%)

sample2.4s (40.6%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	128	valid
7.0ms	161×	body	128	nan
3.0ms	66×	body	128	invalid

Compiler

Compiled 1909 to 1671 computations (12.5% saved)

Details

analyze303.0ms (5.2%)

sample21.0ms (0.4%)

simplify151.0ms (2.6%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite162.0ms (2.8%)

series250.0ms (4.3%)

simplify42.0ms (0.7%)

prune139.0ms (2.4%)

localize10.0ms (0.2%)

rewrite172.0ms (2.9%)

series219.0ms (3.7%)

simplify68.0ms (1.2%)

prune158.0ms (2.7%)

localize8.0ms (0.1%)

rewrite152.0ms (2.6%)

series334.0ms (5.7%)

simplify70.0ms (1.2%)

prune141.0ms (2.4%)

localize10.0ms (0.2%)

rewrite127.0ms (2.2%)

series171.0ms (2.9%)

simplify85.0ms (1.4%)

prune144.0ms (2.4%)

regimes537.0ms (9.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (40.6%)

Profiling