Details

analyze303.0ms (1.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5066	656
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1
99.7%	0%	0.3%	1

Compiler

Compiled 56 to 54 computations (3.6% saved)

sample579.0ms (3.5%)

Algorithm

2×

intervals

Results

107.0ms	152×	body	2048	valid
58.0ms	128×	body	1024	valid
29.0ms	25×	body	4096	valid
19.0ms	58×	body	512	valid
14.0ms	128×	body	128	valid
5.0ms	21×	body	256	valid

Compiler

Compiled 7251 to 8540 computations (-17.8% saved)

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune7.0ms (0%)

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

44.6b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
4.3b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
32.9b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
34.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite178.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

42.3b

Rules

14×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
6×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `-un-lft-identity_binary64_21902` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `associate-r*_binary64_21842`
4×	`distribute-rgt-in_binary64_21852` `cos-sum_binary64_22036` `distribute-lft-in_binary64_21851` `add-log-exp_binary64_21941` `associate-*r/_binary64_21844`
2×	`flip3-+_binary64_21905` `flip-+_binary64_21876` `associate-l_binary64_21843` `*-commutative_binary64_21833`

Counts

4 → 62

Calls

4 calls:

12.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
7.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 2016 to 1293 computations (35.9% saved)

series936.0ms (5.7%)

Error

40.6b

Counts

4 → 50

Calls

4 calls:

235.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
222.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
198.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
193.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 3962 to 3219 computations (18.8% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5176	1944

prune253.0ms (1.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	89	23	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	91	23	114

Error

39.9b

Counts

114 → 23

Compiler

Compiled 3796 to 2628 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
4.3b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
34.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite114.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

39.6b

Rules

10×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
8×	`add-sqr-sqrt_binary64_21924`
6×	`add-cube-cbrt_binary64_21937` `-un-lft-identity_binary64_21902` `associate-r*_binary64_21842`
4×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `associate-l_binary64_21843`
3×	`add-log-exp_binary64_21941`
2×	`distribute-rgt-in_binary64_21852` `cos-sum_binary64_22036` `distribute-lft-in_binary64_21851` `associate-r/_binary64_21844` `-commutative_binary64_21833`
1×	`flip3-+_binary64_21905` `flip-+_binary64_21876` `unswap-sqr_binary64_21870`

Counts

3 → 49

Calls

3 calls:

7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
5.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 1162 to 779 computations (33% saved)

series889.0ms (5.4%)

Error

38.8b

Counts

3 → 41

Calls

3 calls:

409.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
247.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
180.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 2424 to 2141 computations (11.7% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5160	1741

prune181.0ms (1.1%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	76	14	90
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	81	32	113

Error

38.7b

Counts

113 → 32

Compiler

Compiled 2571 to 1957 computations (23.9% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

38.7b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 38.7b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune57.0ms (0.3%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	31	31
Picked	1	1
Done	0	0
Total	32	32

Error

38.7b

Counts

32 → 32

Compiler

Compiled 864 to 798 computations (7.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
0.2b	(.f64 1/16 (.f64 t z))
28.0b	(cos.f64 (.f64 1/16 (.f64 t z)))

rewrite75.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

38.3b

Rules

10×	`pow1_binary64_21963` `add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
8×	`add-sqr-sqrt_binary64_21924`
6×	`add-cube-cbrt_binary64_21937` `-un-lft-identity_binary64_21902` `associate-l*_binary64_21843`
4×	`pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `associate-r_binary64_21842`
3×	`add-log-exp_binary64_21941`
2×	`*-commutative_binary64_21833`
1×	`unswap-sqr_binary64_21870`

Counts

3 → 43

Calls

3 calls:

5.0ms	(.f64 1/16 (.f64 t z))
5.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
2.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 710 to 459 computations (35.4% saved)

series351.0ms (2.1%)

Error

38.7b

Counts

3 → 25

Calls

3 calls:

194.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
85.0ms	(.f64 1/16 (.f64 t z))
53.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 766 to 819 computations (-6.9% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4985	751
1	4985	751

prune78.0ms (0.5%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	2	28	30
Picked	1	0	1
Done	0	1	1
Total	64	36	100

Error

38.4b

Counts

100 → 36

Compiler

Compiled 875 to 557 computations (36.3% saved)

regimes4.8s (29.3%)

Accuracy

Total 5.1b remaining (11.6%)

Threshold costs 0b (0%)

Compiler

Compiled 52711 to 48964 computations (7.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	1
1	6	1

end0.0ms (0%)

sample7.4s (44.9%)

Algorithm

1×

intervals

Results

1.6s	2386×	body	2048	valid
881.0ms	1900×	body	1024	valid
392.0ms	339×	body	4096	valid
316.0ms	926×	body	512	valid
227.0ms	2040×	body	128	valid
89.0ms	409×	body	256	valid

Compiler

Compiled 4094 to 3808 computations (7% saved)

Details

analyze303.0ms (1.8%)

sample579.0ms (3.5%)

simplify37.0ms (0.2%)

prune7.0ms (0%)

localize18.0ms (0.1%)

rewrite178.0ms (1.1%)

series936.0ms (5.7%)

simplify48.0ms (0.3%)

prune253.0ms (1.5%)

localize11.0ms (0.1%)

rewrite114.0ms (0.7%)

series889.0ms (5.4%)

simplify57.0ms (0.3%)

prune181.0ms (1.1%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune57.0ms (0.3%)

localize8.0ms (0.1%)

rewrite75.0ms (0.5%)

series351.0ms (2.1%)

simplify79.0ms (0.5%)

prune78.0ms (0.5%)

regimes4.8s (29.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.4s (44.9%)

Profiling