Details

analyze508.0ms (11.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4943	36
1	4943	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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample83.0ms (1.9%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
13.0ms	55×	body	1024	invalid
8.0ms	134×	body	128	valid
8.0ms	40×	body	512	valid
5.0ms	33×	body	512	invalid
5.0ms	19×	body	256	invalid
5.0ms	73×	body	128	invalid
2.0ms	19×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify124.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5282	18

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`associate-r_binary64_18` `*-un-lft-identity_binary64_78`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `associate-*r/_binary64_20`
1×	`distribute-lft-in_binary64_27` `-commutative_binary64_9` `associate-l*_binary64_19` `add-log-exp_binary64_117` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series70.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

70.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4918	507
1	4918	507

prune23.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

Compiler

Compiled 452 to 185 computations (59.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_114`
9×	`add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r*_binary64_22` `pow-prod-down_binary64_149`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l_binary64_19` `flip-+_binary64_52` `frac-2neg_binary64_89` `associate-/l_binary64_23` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series179.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
46.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
41.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4930	984
1	4930	984

prune54.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

Compiler

Compiled 1154 to 592 computations (48.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

0.3b

(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

17.5b

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `add-exp-log_binary64_116` `associate-r/_binary64_20` `-un-lft-identity_binary64_78` `pow1_binary64_139`
6×	`add-cube-cbrt_binary64_113`
4×	`cube-div_binary64_107` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `add-log-exp_binary64_117` `flip-+_binary64_52` `pow-unpow_binary64_155` `flip3-+_binary64_81`
2×	`rem-cube-cbrt_binary64_101` `cbrt-div_binary64_110` `pow-exp_binary64_146` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-pow_binary64_150` `pow-prod-down_binary64_149`
1×	`cube-mult_binary64_108` `distribute-lft-in_binary64_27` `*-commutative_binary64_9` `pow-to-exp_binary64_147` `unpow-prod-down_binary64_157` `pow1/3_binary64_160` `distribute-rgt-in_binary64_28` `sqr-pow_binary64_50` `cbrt-prod_binary64_109` `unswap-sqr_binary64_46` `distribute-lft-out_binary64_29` `unpow3_binary64_144` `cube-prod_binary64_106`

Counts

3 → 58

Calls

3 calls:

10.0ms

(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

9.0ms

(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

4.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series236.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

123.0ms

(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

64.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

49.0ms

(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4995	1308
1	4995	1308

prune60.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	67	3	70

Merged error: 0b

Counts

70 → 3

Compiler

Compiled 1325 to 543 computations (59% saved)

regimes90.0ms (2.1%)

Compiler: Compiled 484 to 432 computations (10.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	13	19

end0.0ms (0%)

sample2.5s (59.1%)

Algorithm

1×

intervals

Results

707.0ms	1915×	body	1024	valid
447.0ms	1903×	body	1024	invalid
277.0ms	4541×	body	128	valid
201.0ms	1029×	body	512	valid
171.0ms	1023×	body	512	invalid
159.0ms	2537×	body	128	invalid
61.0ms	510×	body	256	valid
53.0ms	455×	body	256	invalid
4.0ms	5×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 89 to 79 computations (11.2% saved)

Details

analyze508.0ms (11.9%)

sample83.0ms (1.9%)

simplify124.0ms (2.9%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series70.0ms (1.6%)

simplify78.0ms (1.8%)

prune23.0ms (0.5%)

localize9.0ms (0.2%)

rewrite25.0ms (0.6%)

series179.0ms (4.2%)

simplify89.0ms (2.1%)

prune54.0ms (1.3%)

localize13.0ms (0.3%)

rewrite28.0ms (0.7%)

series236.0ms (5.5%)

simplify55.0ms (1.3%)

prune60.0ms (1.4%)

regimes90.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.5s (59.1%)

Profiling