Details

analyze164.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms (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

8.9b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.6b	(/.f64 x (*.f64 y y))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
3×	`add-cube-cbrt_binary64_10002` `add-sqr-sqrt_binary64_9989` `times-frac_binary64_9973` `-un-lft-identity_binary64_9967` `associate-/l_binary64_9912`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
1×	`pow1_binary64_10028` `prod-exp_binary64_10016` `add-log-exp_binary64_10006` `cbrt-unprod_binary64_10000` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `div-inv_binary64_9964` `associate-/r*_binary64_9911`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 214 to 66 computations (69.2% saved)

series72.0ms (2.2%)

Error

8.9b

Counts

1 → 6

Calls

1 calls:

69.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	6109	244

prune21.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

0.0b

Counts

28 → 7

Compiler

Compiled 266 to 88 computations (66.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite60.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_9973`
43×	`add-cube-cbrt_binary64_10002` `add-sqr-sqrt_binary64_9989` `*-un-lft-identity_binary64_9967`
13×	`associate-/l*_binary64_9912`
6×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
5×	`div-inv_binary64_9964`
3×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-/r*_binary64_9911`
1×	`pow1_binary64_10028` `add-log-exp_binary64_10006` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `associate-/l/_binary64_9914`

Counts

1 → 70

Calls

1 calls:

7.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 1011 to 278 computations (72.5% saved)

series69.0ms (2.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

66.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify95.0ms (3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4763	1090
1	4763	1090

prune52.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Error

Counts

83 → 8

Compiler

Compiled 938 to 310 computations (67% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite63.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_9989`
25×	`times-frac_binary64_9973`
23×	`add-exp-log_binary64_10005`
17×	`*-un-lft-identity_binary64_9967`
15×	`add-cube-cbrt_binary64_10002`
13×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `associate-r_binary64_9907`
8×	`div-exp_binary64_10018` `prod-exp_binary64_10016`
6×	`unswap-sqr_binary64_9935`
4×	`cbrt-unprod_binary64_10000` `cbrt-undiv_binary64_10001`
3×	`pow1_binary64_10028`
2×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `div-inv_binary64_9964`
1×	`pow-prod-down_binary64_10038` `add-log-exp_binary64_10006` `frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-r/_binary64_9909` `*-commutative_binary64_9898`

Counts

1 → 56

Calls

1 calls:

13.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

Compiler

Compiled 824 to 400 computations (51.5% saved)

series65.0ms (2%)

Error

Counts

1 → 6

Calls

1 calls:

62.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify100.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5798	635

prune36.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	62	8	70

Error

Counts

70 → 8

Compiler

Compiled 681 to 245 computations (64% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
10.5b	(cbrt.f64 (/.f64 x y))
10.5b	(cbrt.f64 (/.f64 x y))
10.5b	(cbrt.f64 (/.f64 x y))

rewrite148.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

103×	`cbrt-prod_binary64_9998`
81×	`add-sqr-sqrt_binary64_9989`
69×	`times-frac_binary64_9973`
57×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
16×	`swap-sqr_binary64_9934` `associate-l_binary64_9908` `associate-r_binary64_9907`
11×	`pow1_binary64_10028`
9×	`pow1/3_binary64_10049` `unswap-sqr_binary64_9935`
7×	`cbrt-div_binary64_9999` `div-inv_binary64_9964`
6×	`add-exp-log_binary64_10005`
4×	`add-log-exp_binary64_10006` `add-cbrt-cube_binary64_10003`
2×	`pow-prod-down_binary64_10038` `pow-prod-up_binary64_10037` `pow-sqr_binary64_9940`
1×	`pow2_binary64_10048` `pow-plus_binary64_10030` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-r/_binary64_9909` `*-commutative_binary64_9898`

Counts

4 → 144

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 3499 to 606 computations (82.7% saved)

series871.0ms (27.1%)

Error

Counts

4 → 24

Calls

4 calls:

254.0ms	(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
203.0ms	(cbrt.f64 (/.f64 x y))
197.0ms	(cbrt.f64 (/.f64 x y))
193.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 1674 to 1111 computations (33.6% saved)

simplify114.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5110	2369

prune122.0ms (3.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	168	8	176

Error

Counts

176 → 8

Compiler

Compiled 3517 to 770 computations (78.1% saved)

regimes221.0ms (6.9%)

Accuracy

Total 0.2b remaining (94.9%)

Threshold costs 0.2b (94.9%)

Compiler

Compiled 1913 to 1133 computations (40.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end0.0ms (0%)

sample797.0ms (24.8%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	128	valid
7.0ms	397×	body	128	invalid

Compiler

Compiled 443 to 267 computations (39.7% saved)

Details

analyze164.0ms (5.1%)

sample14.0ms (0.4%)

simplify12.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite25.0ms (0.8%)

series72.0ms (2.2%)

simplify74.0ms (2.3%)

prune21.0ms (0.7%)

localize3.0ms (0.1%)

rewrite60.0ms (1.9%)

series69.0ms (2.2%)

simplify95.0ms (3%)

prune52.0ms (1.6%)

localize5.0ms (0.2%)

rewrite63.0ms (2%)

series65.0ms (2%)

simplify100.0ms (3.1%)

prune36.0ms (1.1%)

localize7.0ms (0.2%)

rewrite148.0ms (4.6%)

series871.0ms (27.1%)

simplify114.0ms (3.5%)

prune122.0ms (3.8%)

regimes221.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample797.0ms (24.8%)

Profiling