Details

analyze169.0ms (1.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample60.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	77×	body	1024	valid
9.0ms	128×	body	128	valid
7.0ms	35×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	16×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 e (sin.f64 v))

rewrite122.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_1464`
12×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`pow1_binary64_1503`
6×	`associate-l_binary64_1383` `associate-r_binary64_1382`
3×	`prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `associate-/r*_binary64_1386`
2×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l*_binary64_1387`

Counts

3 → 59

Calls

3 calls:

9.0ms	(*.f64 e (sin.f64 v))
6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1015 to 368 computations (63.7% saved)

series517.0ms (4.9%)

Error

0.2b

Counts

3 → 27

Calls

3 calls:

267.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
113.0ms	(*.f64 e (sin.f64 v))
97.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1223 to 892 computations (27.1% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune127.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Error

0.0b

Counts

87 → 7

Compiler

Compiled 1345 to 654 computations (51.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(.f64 (.f64 e (cos.f64 v)) (*.f64 e (cos.f64 v)))
0.2b	(*.f64 e (sin.f64 v))

rewrite235.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`pow1_binary64_1503`
22×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
20×	`pow-prod-down_binary64_1513`
16×	`add-sqr-sqrt_binary64_1464`
11×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
10×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-l_binary64_1383` `associate-r*_binary64_1382`
4×	`add-log-exp_binary64_1481` `*-commutative_binary64_1373` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
3×	`unswap-sqr_binary64_1410`
2×	`pow-plus_binary64_1505`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409`

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 (.f64 e (cos.f64 v)) (*.f64 e (cos.f64 v)))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2806 to 1072 computations (61.8% saved)

series511.0ms (4.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

166.0ms	(.f64 (.f64 e (cos.f64 v)) (*.f64 e (cos.f64 v)))
119.0ms	(*.f64 e (sin.f64 v))
101.0ms	(*.f64 e (cos.f64 v))
99.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2071 to 1261 computations (39.1% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4876	915
1	4876	915

prune192.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Error

0.0b

Counts

122 → 7

Compiler

Compiled 2348 to 1011 computations (56.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.2b	(.f64 (sin.f64 v) (-.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (+.f64 (.f64 e (.f64 e (cos.f64 v))) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 3)))))
0.3b	(pow.f64 (cos.f64 v) 2)
0.4b	(pow.f64 (cos.f64 v) 3)

rewrite323.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_1464`
17×	`*-un-lft-identity_binary64_1442`
15×	`add-cube-cbrt_binary64_1477`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478`
8×	`associate-r_binary64_1382`
6×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `cancel-sign-sub-inv_binary64_1408` `associate-r/_binary64_1384` `associate-l*_binary64_1383`
5×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
4×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `frac-sub_binary64_1451` `flip-+_binary64_1416`
3×	`cube-prod_binary64_1470`
2×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `sqr-pow_binary64_1414` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `sub-neg_binary64_1435` `associate--l+_binary64_1379` `*-commutative_binary64_1373`
1×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `rem-cube-cbrt_binary64_1465` `unpow2_binary64_1507` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 95

Calls

4 calls:

15.0ms	(.f64 (sin.f64 v) (-.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (+.f64 (.f64 e (.f64 e (cos.f64 v))) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 3)))))
4.0ms	(*.f64 e (cos.f64 v))
2.0ms	(pow.f64 (cos.f64 v) 3)
2.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 3892 to 1980 computations (49.1% saved)

series846.0ms (8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

617.0ms	(.f64 (sin.f64 v) (-.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (+.f64 (.f64 e (.f64 e (cos.f64 v))) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 3)))))
106.0ms	(*.f64 e (cos.f64 v))
44.0ms	(pow.f64 (cos.f64 v) 3)
29.0ms	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 2007 to 1392 computations (30.6% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4981	3408
1	4981	3408

prune267.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	124	8	132

Error

0.0b

Counts

132 → 8

Compiler

Compiled 3509 to 1892 computations (46.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite260.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_1448`
57×	`add-sqr-sqrt_binary64_1464`
55×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
16×	`associate-/r*_binary64_1386`
12×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
3×	`add-log-exp_binary64_1481` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389`
1×	`associate-/r/_binary64_1388` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

3 → 117

Calls

3 calls:

8.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
6.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 2640 to 1096 computations (58.5% saved)

series668.0ms (6.3%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

275.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
257.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
90.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1330 to 962 computations (27.7% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5196	3861

prune240.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	146	9	155

Error

0.0b

Counts

155 → 9

Compiler

Compiled 2717 to 1174 computations (56.8% saved)

regimes3.4s (31.9%)

Accuracy

Total 0.1b remaining (82.9%)

Threshold costs 0.1b (82.9%)

Compiler

Compiled 38720 to 25539 computations (34% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	45
1	55	45

end2.0ms (0%)

Compiler: Compiled 29 to 20 computations (31% saved)

sample2.3s (21.6%)

Algorithm

1×

intervals

Results

629.0ms	2042×	body	1024	valid
336.0ms	4450×	body	128	valid
211.0ms	986×	body	512	valid
154.0ms	8000×	pre	128	true
76.0ms	519×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 332 to 221 computations (33.4% saved)

Details

analyze169.0ms (1.6%)

sample60.0ms (0.6%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite122.0ms (1.1%)

series517.0ms (4.9%)

simplify63.0ms (0.6%)

prune127.0ms (1.2%)

localize18.0ms (0.2%)

rewrite235.0ms (2.2%)

series511.0ms (4.8%)

simplify103.0ms (1%)

prune192.0ms (1.8%)

localize23.0ms (0.2%)

rewrite323.0ms (3%)

series846.0ms (8%)

simplify86.0ms (0.8%)

prune267.0ms (2.5%)

localize9.0ms (0.1%)

rewrite260.0ms (2.5%)

series668.0ms (6.3%)

simplify64.0ms (0.6%)

prune240.0ms (2.3%)

regimes3.4s (31.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end2.0ms (0%)

sample2.3s (21.6%)

Profiling