Details

analyze249.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (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

4.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
3.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite113.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
13×	`add-sqr-sqrt_binary64_21242`
12×	`flip3--_binary64_21224` `flip--_binary64_21195`
11×	`*-un-lft-identity_binary64_21220`
8×	`frac-times_binary64_21230` `associate-/l/_binary64_21167`
6×	`add-cube-cbrt_binary64_21255` `cancel-sign-sub-inv_binary64_21186` `associate-l_binary64_21161`
5×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-r_binary64_21160`
4×	`pow1_binary64_21281` `div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `associate-l/_binary64_21163` `associate-r/_binary64_21162` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
3×	`difference-of-squares_binary64_21189`
2×	`add-log-exp_binary64_21259` `sub-neg_binary64_21213` `distribute-lft-out--_binary64_21172`
1×	`frac-2neg_binary64_21231` `times-frac_binary64_21226` `clear-num_binary64_21219` `div-inv_binary64_21217` `associate-/l_binary64_21165` `associate-/r_binary64_21164` `pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151`

Counts

2 → 68

Calls

2 calls:

13.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
11.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series225.0ms (3%)

Error

3.7b

Counts

2 → 21

Calls

2 calls:

159.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
47.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune89.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1463 to 1068 computations (27% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))

rewrite1.7s (22.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1218×	`times-frac_binary64_21226`
808×	`add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
461×	`add-cube-cbrt_binary64_21255`
205×	`difference-of-squares_binary64_21189`
142×	`distribute-lft-out--_binary64_21172`
84×	`associate-/r*_binary64_21164`
35×	`div-inv_binary64_21217`
19×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
14×	`associate-/l*_binary64_21165`
10×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
9×	`associate-/r/_binary64_21166`
4×	`associate-/l/_binary64_21167`
3×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `frac-2neg_binary64_21231` `clear-num_binary64_21219`
2×	`div-sub_binary64_21225` `flip3--_binary64_21224` `flip--_binary64_21195`

Counts

3 → 592

Calls

3 calls:

28.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 15998 to 11611 computations (27.4% saved)

series313.0ms (4.1%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

172.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
89.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
26.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 1094 to 862 computations (21.2% saved)

simplify199.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5112	20379

prune1.1s (14.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	625	5	630

Error

Counts

630 → 5

Compiler

Compiled 15178 to 10647 computations (29.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 3 x))
0.1b	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
0.1b	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
0.1b	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))

rewrite225.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-exp-log_binary64_21258` `add-sqr-sqrt_binary64_21242`
48×	`*-un-lft-identity_binary64_21220`
38×	`times-frac_binary64_21226`
34×	`add-cbrt-cube_binary64_21256`
27×	`add-cube-cbrt_binary64_21255`
24×	`associate-l_binary64_21161`
22×	`prod-exp_binary64_21269`
14×	`div-exp_binary64_21271`
12×	`pow1_binary64_21281` `cbrt-unprod_binary64_21253`
11×	`difference-of-squares_binary64_21189`
9×	`distribute-lft-out--_binary64_21172` `associate-/l*_binary64_21165`
8×	`cbrt-undiv_binary64_21254`
6×	`associate-/r*_binary64_21164`
5×	`associate-/r/_binary64_21166`
4×	`1-exp_binary64_21264` `rec-exp_binary64_21270` `add-log-exp_binary64_21259` `pow-prod-down_binary64_21291` `associate-r_binary64_21160`
3×	`div-inv_binary64_21217` `flip3--_binary64_21224` `flip--_binary64_21195` `associate-*l/_binary64_21163` `unswap-sqr_binary64_21188`
2×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `associate-/l/_binary64_21167` `associate-r/_binary64_21162` `-commutative_binary64_21151`
1×	`div-sub_binary64_21225` `inv-pow_binary64_21305` `pow-flip_binary64_21294`

Counts

4 → 144

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
13.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
11.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
9.0ms	(/.f64 1 (-.f64 3 x))

Compiler

Compiled 3016 to 2397 computations (20.5% saved)

series379.0ms (5%)

Error

Counts

4 → 51

Calls

4 calls:

176.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
91.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
33.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
29.0ms	(/.f64 1 (-.f64 3 x))

Compiler

Compiled 1945 to 1586 computations (18.5% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5099	2710

prune190.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	195	5	200

Error

Counts

200 → 5

Compiler

Compiled 3280 to 2463 computations (24.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 4/3 (*.f64 1/3 x))
0.2b	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
0.3b	(*.f64 1/3 x)
3.6b	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)

rewrite99.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_21242`
13×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
10×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
8×	`pow1_binary64_21281`
6×	`add-log-exp_binary64_21259` `associate-l_binary64_21161` `associate-r_binary64_21160`
4×	`associate-*r/_binary64_21162`
3×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `times-frac_binary64_21226` `flip3--_binary64_21224` `flip--_binary64_21195` `associate-/r*_binary64_21164` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`
2×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `associate-/l/_binary64_21167` `pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
1×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `div-inv_binary64_21217` `associate-/l*_binary64_21165` `diff-log_binary64_21312`

Counts

4 → 77

Calls

4 calls:

7.0ms	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
6.0ms	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)
4.0ms	(*.f64 1/3 x)
3.0ms	(-.f64 4/3 (*.f64 1/3 x))

Compiler

Compiled 1517 to 1090 computations (28.1% saved)

series248.0ms (3.3%)

Error

Counts

4 → 24

Calls

4 calls:

138.0ms	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)
47.0ms	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
27.0ms	(-.f64 4/3 (*.f64 1/3 x))
20.0ms	(*.f64 1/3 x)

Compiler

Compiled 843 to 673 computations (20.2% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5015	1094

prune82.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Error

Counts

106 → 5

Compiler

Compiled 1651 to 1163 computations (29.6% saved)

regimes527.0ms (7%)

Accuracy

Total 0.1b remaining (99.1%)

Threshold costs 0.1b (99.1%)

Compiler

Compiled 5805 to 4995 computations (14% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample1.5s (19.9%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
10.0ms	313×	body	128	invalid

Compiler

Compiled 1031 to 890 computations (13.7% saved)

Details

analyze249.0ms (3.3%)

sample18.0ms (0.2%)

simplify72.0ms (0.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite113.0ms (1.5%)

series225.0ms (3%)

simplify59.0ms (0.8%)

prune89.0ms (1.2%)

localize7.0ms (0.1%)

rewrite1.7s (22.3%)

series313.0ms (4.1%)

simplify199.0ms (2.6%)

prune1.1s (14.9%)

localize8.0ms (0.1%)

rewrite225.0ms (3%)

series379.0ms (5%)

simplify60.0ms (0.8%)

prune190.0ms (2.5%)

localize9.0ms (0.1%)

rewrite99.0ms (1.3%)

series248.0ms (3.3%)

simplify57.0ms (0.8%)

prune82.0ms (1.1%)

regimes527.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (19.9%)

Profiling