Details

analyze246.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4924	30
1	4924	30
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	63×	body	1024	valid
5.0ms	42×	body	512	valid
4.0ms	127×	body	128	valid
1.0ms	19×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune5.0ms (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

32.1b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.4b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite200.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

27×	`*-un-lft-identity_binary64_2465`
24×	`add-sqr-sqrt_binary64_2487`
15×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
7×	`add-log-exp_binary64_2504`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416`
4×	`difference-of-squares_binary64_2434` `associate-/r*_binary64_2409`
3×	`pow1_binary64_2526` `cancel-sign-sub-inv_binary64_2431` `associate-/l*_binary64_2410`
2×	`difference-of-sqr-1_binary64_2435` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

3 → 66

Calls

3 calls:

22.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1302 to 1188 computations (8.8% saved)

series170.0ms (2.1%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

86.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
52.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
15.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 444 to 432 computations (2.7% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4838	1469
1	4838	1469

prune159.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 1382 to 1247 computations (9.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 17/315 (pow.f64 x 7))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.7b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

rewrite310.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64_2487`
26×	`associate-r_binary64_2405`
19×	`add-exp-log_binary64_2503`
17×	`*-un-lft-identity_binary64_2465`
16×	`add-log-exp_binary64_2504`
15×	`add-cube-cbrt_binary64_2500`
12×	`unpow-prod-down_binary64_2544`
10×	`add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
9×	`prod-exp_binary64_2514` `associate-l_binary64_2406`
6×	`sqr-pow_binary64_2437`
4×	`sum-log_binary64_2556` `diff-log_binary64_2557` `pow1_binary64_2526` `flip3-+_binary64_2468` `frac-sub_binary64_2474` `flip-+_binary64_2439` `cube-prod_binary64_2493`
3×	`cancel-sign-sub-inv_binary64_2431` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
1×	`flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

4 → 106

Calls

4 calls:

15.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
13.0ms	(*.f64 1/3 (pow.f64 x 3))
11.0ms	(*.f64 17/315 (pow.f64 x 7))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 3201 to 2556 computations (20.1% saved)

series287.0ms (3.5%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

75.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
72.0ms	(*.f64 2/15 (pow.f64 x 5))
60.0ms	(*.f64 17/315 (pow.f64 x 7))
52.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 691 to 603 computations (12.7% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5542	2199

prune256.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Error

0.0b

Counts

126 → 3

Compiler

Compiled 3141 to 2495 computations (20.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 7) -17/315)
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.7b	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))

rewrite237.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_2487`
22×	`associate-r_binary64_2405`
19×	`add-exp-log_binary64_2503`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
13×	`associate-l_binary64_2406`
12×	`unpow-prod-down_binary64_2544`
10×	`add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
9×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514`
6×	`sqr-pow_binary64_2437`
4×	`pow1_binary64_2526` `cube-prod_binary64_2493`
3×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`
2×	`sum-log_binary64_2556` `associate-+r+_binary64_2397`
1×	`diff-log_binary64_2557` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r-_binary64_2399` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `+-commutative_binary64_2395` `unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

4 → 96

Calls

4 calls:

17.0ms	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))
14.0ms	(*.f64 (pow.f64 x 7) -17/315)
14.0ms	(*.f64 1/3 (pow.f64 x 3))
11.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 2535 to 2029 computations (20% saved)

series304.0ms (3.7%)

Error

0.0b

Counts

4 → 14

Calls

4 calls:

123.0ms	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))
69.0ms	(*.f64 (pow.f64 x 7) -17/315)
53.0ms	(*.f64 1/3 (pow.f64 x 3))
44.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 664 to 574 computations (13.6% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5409	1401

prune281.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	110	3	113

Error

0.0b

Counts

113 → 3

Compiler

Compiled 2613 to 2078 computations (20.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 x -2)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
3.3b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
3.4b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite290.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_2487`
35×	`*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
17×	`add-cube-cbrt_binary64_2500`
11×	`log-pow_binary64_2554`
10×	`exp-prod_binary64_2517`
8×	`add-log-exp_binary64_2504` `difference-of-squares_binary64_2434`
7×	`log-prod_binary64_2551`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `cancel-sign-sub-inv_binary64_2431`
5×	`pow1_binary64_2526` `distribute-lft-out_binary64_2416`
4×	`difference-of-sqr-1_binary64_2435` `exp-sum_binary64_2511` `associate-/r*_binary64_2409`
3×	`associate-/l*_binary64_2410`
2×	`sub-neg_binary64_2458` `distribute-lft-out--_binary64_2417` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `flip--_binary64_2440` `exp-diff_binary64_2513` `log-div_binary64_2552` `rem-log-exp_binary64_2506` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 93

Calls

4 calls:

29.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
23.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
11.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
8.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 2040 to 1882 computations (7.7% saved)

series443.0ms (5.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

223.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
77.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
73.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
32.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 692 to 670 computations (3.2% saved)

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4861	2044
1	4861	2044

prune169.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 2048 to 1860 computations (9.2% saved)

regimes991.0ms (12.1%)

Accuracy

Total 0.1b remaining (91.5%)

Threshold costs 0.1b (91.5%)

Compiler

Compiled 6635 to 6495 computations (2.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	133	101
1	133	101

end0.0ms (0%)

sample3.1s (38.1%)

Algorithm

1×

intervals

Results

955.0ms	2117×	body	1024	valid
227.0ms	4162×	body	128	valid
193.0ms	1030×	body	512	valid
73.0ms	192×	body	2048	valid
61.0ms	499×	body	256	valid

Compiler

Compiled 789 to 763 computations (3.3% saved)

Details

analyze246.0ms (3%)

sample33.0ms (0.4%)

simplify97.0ms (1.2%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

rewrite200.0ms (2.4%)

series170.0ms (2.1%)

simplify155.0ms (1.9%)

prune159.0ms (1.9%)

localize12.0ms (0.1%)

rewrite310.0ms (3.8%)

series287.0ms (3.5%)

simplify100.0ms (1.2%)

prune256.0ms (3.1%)

localize24.0ms (0.3%)

rewrite237.0ms (2.9%)

series304.0ms (3.7%)

simplify119.0ms (1.4%)

prune281.0ms (3.4%)

localize18.0ms (0.2%)

rewrite290.0ms (3.5%)

series443.0ms (5.4%)

simplify143.0ms (1.7%)

prune169.0ms (2.1%)

regimes991.0ms (12.1%)

bsearch3.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.1s (38.1%)

Profiling