Details

analyze493.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	48
1	235	48
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample39.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	181×	body	128	valid
9.0ms	41×	body	1024	valid
4.0ms	13×	body	256	valid
3.0ms	21×	body	512	valid
2.0ms	30×	body	128	invalid
0.0ms	3×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune2.0ms (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

2.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.9b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_12035`
22×	`times-frac_binary64_12019`
21×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
19×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
13×	`associate-r_binary64_11953`
6×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-/r*_binary64_11957`
5×	`pow1_binary64_12074`
4×	`prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `associate-/l*_binary64_11958`
3×	`add-log-exp_binary64_12052` `div-inv_binary64_12010` `associate-l_binary64_11954`
2×	`frac-2neg_binary64_12024` `clear-num_binary64_12012` `associate-*r/_binary64_11955` `unswap-sqr_binary64_11981`
1×	`associate-/l/_binary64_11960` `pow-prod-down_binary64_12084` `*-commutative_binary64_11944`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 1235 to 325 computations (73.7% saved)

series354.0ms (6.1%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

206.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
102.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
26.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	1443
1	4949	1443

prune86.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Error

0.0b

Counts

111 → 9

Compiler

Compiled 1501 to 446 computations (70.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
2.9b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite102.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-exp-log_binary64_12051`
31×	`add-cbrt-cube_binary64_12049`
22×	`prod-exp_binary64_12062`
21×	`add-sqr-sqrt_binary64_12035`
15×	`*-un-lft-identity_binary64_12013`
14×	`add-cube-cbrt_binary64_12048` `times-frac_binary64_12019` `associate-r_binary64_11953`
12×	`div-exp_binary64_12064` `cbrt-unprod_binary64_12046`
10×	`pow1_binary64_12074`
7×	`cbrt-undiv_binary64_12047` `associate-*r/_binary64_11955`
6×	`associate-l_binary64_11954`
4×	`pow-prod-down_binary64_12084`
3×	`1-exp_binary64_12057` `rec-exp_binary64_12063` `add-log-exp_binary64_12052` `un-div-inv_binary64_12011` `associate-/r*_binary64_11957` `unswap-sqr_binary64_11981`
2×	`div-inv_binary64_12010` `associate-/l/_binary64_11960` `*-commutative_binary64_11944`
1×	`frac-2neg_binary64_12024` `clear-num_binary64_12012` `associate-/l*_binary64_11958`

Counts

3 → 89

Calls

3 calls:

9.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
7.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

Compiler

Compiled 1499 to 775 computations (48.3% saved)

series354.0ms (6.1%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

209.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
100.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
30.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4970	1385
1	4970	1385

prune70.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Error

0.0b

Counts

125 → 9

Compiler

Compiled 1504 to 517 computations (65.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
3.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite106.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-exp-log_binary64_12051`
31×	`add-cbrt-cube_binary64_12049` `add-sqr-sqrt_binary64_12035`
28×	`times-frac_binary64_12019`
26×	`add-cube-cbrt_binary64_12048` `-un-lft-identity_binary64_12013` `associate-r*_binary64_11953`
22×	`prod-exp_binary64_12062`
12×	`div-exp_binary64_12064` `cbrt-unprod_binary64_12046`
10×	`pow1_binary64_12074`
7×	`cbrt-undiv_binary64_12047`
4×	`pow-prod-down_binary64_12084` `associate-r/_binary64_11955` `associate-l*_binary64_11954`
3×	`1-exp_binary64_12057` `rec-exp_binary64_12063` `add-log-exp_binary64_12052` `div-inv_binary64_12010` `associate-/l_binary64_11958` `associate-/r_binary64_11957`
2×	`*-commutative_binary64_11944` `unswap-sqr_binary64_11981`
1×	`frac-times_binary64_12023` `un-div-inv_binary64_12011` `associate-*l/_binary64_11956` `frac-2neg_binary64_12024` `clear-num_binary64_12012`

Counts

3 → 105

Calls

3 calls:

10.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 1817 to 679 computations (62.6% saved)

series362.0ms (6.2%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

209.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
101.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
34.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 810 to 590 computations (27.2% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	1757
1	4971	1757

prune88.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	7	7
Picked	0	1	1
Done	1	0	1
Total	131	10	141

Error

Counts

141 → 10

Compiler

Compiled 1943 to 699 computations (64% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
2.9b	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))) z)

rewrite114.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

70×	`add-exp-log_binary64_12051`
44×	`add-cbrt-cube_binary64_12049`
29×	`prod-exp_binary64_12062` `cbrt-unprod_binary64_12046`
25×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
9×	`add-cube-cbrt_binary64_12048` `add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013` `cbrt-prod_binary64_12044`
4×	`pow1_binary64_12074` `add-log-exp_binary64_12052` `associate-*r/_binary64_11955`
3×	`times-frac_binary64_12019` `associate-/l/_binary64_11960` `associate-/r*_binary64_11957` `pow1/3_binary64_12095`
1×	`frac-2neg_binary64_12024` `clear-num_binary64_12012` `div-inv_binary64_12010` `frac-times_binary64_12023` `associate-l/_binary64_11956` `associate-/l_binary64_11958`

Counts

4 → 77

Calls

4 calls:

21.0ms	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))) z)
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 2663 to 398 computations (85.1% saved)

series535.0ms (9.2%)

Error

Counts

4 → 30

Calls

4 calls:

254.0ms	(/.f64 (.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))) z)
87.0ms	(cbrt.f64 (sin.f64 y))
83.0ms	(cbrt.f64 (sin.f64 y))
79.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1671 to 980 computations (41.4% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5059	1349

prune80.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Error

Counts

117 → 10

Compiler

Compiled 2170 to 495 computations (77.2% saved)

regimes717.0ms (12.3%)

Accuracy

Total 0.3b remaining (98.9%)

Threshold costs 0.3b (98.9%)

Compiler

Compiled 5147 to 3580 computations (30.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	54
1	24	54

end0.0ms (0%)

sample1.9s (32.1%)

Algorithm

1×

intervals

Results

307.0ms	1368×	body	1024	valid
285.0ms	5478×	body	128	valid
119.0ms	782×	body	512	valid
39.0ms	370×	body	256	valid
28.0ms	534×	body	128	invalid
15.0ms	69×	body	512	invalid
5.0ms	53×	body	256	invalid
5.0ms	24×	body	1024	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 840 to 580 computations (31% saved)

Details

analyze493.0ms (8.5%)

sample39.0ms (0.7%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite88.0ms (1.5%)

series354.0ms (6.1%)

simplify73.0ms (1.3%)

prune86.0ms (1.5%)

localize8.0ms (0.1%)

rewrite102.0ms (1.8%)

series354.0ms (6.1%)

simplify89.0ms (1.5%)

prune70.0ms (1.2%)

localize9.0ms (0.2%)

rewrite106.0ms (1.8%)

series362.0ms (6.2%)

simplify78.0ms (1.3%)

prune88.0ms (1.5%)

localize18.0ms (0.3%)

rewrite114.0ms (2%)

series535.0ms (9.2%)

simplify68.0ms (1.2%)

prune80.0ms (1.4%)

regimes717.0ms (12.3%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (32.1%)

Profiling