Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	56×	body	1024	valid
4.0ms	145×	body	128	valid
2.0ms	30×	body	512	valid
1.0ms	12×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

27.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_791`
16×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795`
6×	`cancel-sign-sub-inv_binary64_726`
5×	`add-log-exp_binary64_799`
4×	`difference-of-squares_binary64_729`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `pow1_binary64_821`
2×	`pow1/3_binary64_842` `distribute-lft-out_binary64_711` `cbrt-div_binary64_792`
1×	`diff-log_binary64_852` `flip3-+_binary64_763` `flip-+_binary64_734` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series165.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(cbrt.f64 x)
61.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
24.0ms	(cbrt.f64 (+.f64 x 1))

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4796	788
1	4796	788

prune69.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Error

0.3b

Counts

59 → 6

Compiler

Compiled 850 to 571 computations (32.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-prod_binary64_791`
35×	`add-sqr-sqrt_binary64_782`
34×	`*-un-lft-identity_binary64_760`
12×	`difference-of-squares_binary64_729`
11×	`add-cube-cbrt_binary64_795`
10×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
9×	`distribute-lft-out--_binary64_712`
6×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799`
4×	`distribute-lft-out_binary64_711` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cbrt-div_binary64_792` `pow1_binary64_821`
3×	`pow1/3_binary64_842`
2×	`cube-div_binary64_789` `flip--_binary64_735` `flip3--_binary64_764`
1×	`cube-mult_binary64_790` `rem-cbrt-cube_binary64_784` `diff-log_binary64_852` `flip3-+_binary64_763` `unpow3_binary64_826` `flip-+_binary64_734` `sqr-pow_binary64_732` `sub-neg_binary64_753`

Counts

4 → 86

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series217.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 x)
55.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
54.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
23.0ms	(cbrt.f64 (+.f64 x 1))

simplify100.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4800	1620
1	4800	1620

prune97.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Error

0.3b

Counts

104 → 8

Compiler

Compiled 1665 to 1173 computations (29.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_791`
35×	`add-sqr-sqrt_binary64_782`
32×	`*-un-lft-identity_binary64_760`
18×	`cancel-sign-sub-inv_binary64_726`
12×	`difference-of-squares_binary64_729`
11×	`add-cube-cbrt_binary64_795`
10×	`add-log-exp_binary64_799`
9×	`distribute-lft-out--_binary64_712`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`diff-log_binary64_852` `distribute-lft-out_binary64_711` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842`

Counts

4 → 83

Calls

4 calls:

11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series238.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt.f64 x)
56.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
54.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
52.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4829	1531
1	4829	1531

prune161.0ms (5.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	96	7	103

Error

0.3b

Counts

103 → 7

Compiler

Compiled 3210 to 2146 computations (33.1% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
19.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_791` `add-sqr-sqrt_binary64_782`
23×	`*-un-lft-identity_binary64_760`
13×	`cancel-sign-sub-inv_binary64_726`
10×	`add-log-exp_binary64_799`
9×	`add-cube-cbrt_binary64_795`
8×	`difference-of-squares_binary64_729`
6×	`distribute-lft-out--_binary64_712`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`diff-log_binary64_852` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
2×	`distribute-lft-out_binary64_711`
1×	`pow1/3_binary64_842`

Counts

4 → 71

Calls

4 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)

series243.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 x)
58.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
51.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
50.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify77.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4642	1303
1	4642	1303

prune136.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Error

0.3b

Counts

90 → 7

Compiler

Compiled 3291 to 1800 computations (45.3% saved)

regimes113.0ms (3.8%)

Accuracy

Total 0.4b remaining (61.2%)

Threshold costs 0.4b (61.2%)

Compiler

Compiled 816 to 653 computations (20% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	59
1	67	59

end0.0ms (0%)

sample957.0ms (31.8%)

Algorithm

1×

intervals

Results

184.0ms	1951×	body	1024	valid
115.0ms	4293×	body	128	valid
71.0ms	1016×	body	512	valid
29.0ms	237×	body	2048	valid
23.0ms	503×	body	256	valid

Compiler

Compiled 399 to 316 computations (20.8% saved)

Details

analyze1.0ms (0%)

sample18.0ms (0.6%)

simplify98.0ms (3.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series165.0ms (5.5%)

simplify76.0ms (2.5%)

prune69.0ms (2.3%)

localize8.0ms (0.3%)

rewrite31.0ms (1%)

series217.0ms (7.2%)

simplify100.0ms (3.3%)

prune97.0ms (3.2%)

localize10.0ms (0.3%)

rewrite39.0ms (1.3%)

series238.0ms (7.9%)

simplify69.0ms (2.3%)

prune161.0ms (5.3%)

localize18.0ms (0.6%)

rewrite39.0ms (1.3%)

series243.0ms (8.1%)

simplify77.0ms (2.5%)

prune136.0ms (4.5%)

regimes113.0ms (3.8%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample957.0ms (31.8%)

Profiling