Details

analyze19.0ms (0%)

Algorithm

1×

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)

sample65.0ms (0.1%)

Algorithm

1×

intervals

Results

18.0ms	60×	body	1024	valid
11.0ms	147×	body	128	valid
7.0ms	35×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	14×	body	256	valid

Compiler

Compiled 29 to 28 computations (3.4% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

prune4.0ms (0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	4	4
Picked	0	0
Done	0	0
Total	8	8

Error

0.2b

Counts

8 → 4

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

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

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

6 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
7.0ms	(*.f64 e (sin.f64 v))
5.0ms	(*.f64 e (cos.f64 v))
0.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.0ms	(*.f64 e (cos.f64 v))

series342.0ms (0.5%)

Counts

3 → 27

Calls

3 calls:

189.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
82.0ms	(*.f64 e (sin.f64 v))
71.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 758 to 597 computations (21.2% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4963	1464
1	4963	1464

prune371.0ms (0.5%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	41	45	86
Fresh	0	3	3
Picked	0	0	0
Done	0	1	1
Total	41	49	90

Error

0.0b

Counts

90 → 49

Compiler

Compiled 2184 to 1267 computations (42% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.4b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
0.2b	(*.f64 (sqrt.f64 e) (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))
0.1b	(*.f64 e (sin.f64 v))
0.2b	(*.f64 (sqrt.f64 e) (cos.f64 v))
0.4b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))

rewrite33.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1464`
18×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
15×	`associate-l_binary64_1383`
13×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382` `sqrt-prod_binary64_1458`
6×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
5×	`pow-prod-down_binary64_1513`
4×	`add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `times-frac_binary64_1448` `-commutative_binary64_1373` `unswap-sqr_binary64_1410`
2×	`cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `div-exp_binary64_1493`
1×	`div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 84

Calls

8 calls:

8.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))
6.0ms	(*.f64 (sqrt.f64 e) (cos.f64 v))
5.0ms	(*.f64 e (sin.f64 v))
0.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))

series413.0ms (0.6%)

Counts

4 → 33

Calls

4 calls:

209.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))
81.0ms	(*.f64 e (sin.f64 v))
62.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
60.0ms	(*.f64 (sqrt.f64 e) (cos.f64 v))

Compiler

Compiled 1075 to 825 computations (23.3% saved)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5205	1800

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 e v) (+.f64 e 1))
0.0b	(/.f64 (*.f64 e v) (+.f64 e 1))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1442`
6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
4×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
3×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
2×	`cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `distribute-lft-out_binary64_1393` `div-exp_binary64_1493`
1×	`cbrt-unprod_binary64_1475` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `pow1_binary64_1503`

Counts

1 → 25

Calls

2 calls:

7.0ms	(/.f64 (*.f64 e v) (+.f64 e 1))
0.0ms	(/.f64 (*.f64 e v) (+.f64 e 1))

series80.0ms (0.1%)

Counts

1 → 11

Calls

1 calls:

80.0ms

(/.f64 (*.f64 e v) (+.f64 e 1))

Compiler

Compiled 124 to 100 computations (19.4% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5819	404

localize11.0ms (0%)

Local error

Found 6 expressions with local error:

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

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1464`
17×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
15×	`times-frac_binary64_1448` `add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478`
7×	`pow1_binary64_1503`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
5×	`associate-/l*_binary64_1387`
4×	`sqr-pow_binary64_1414` `div-exp_binary64_1493` `unpow-prod-down_binary64_1521`
3×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `unswap-sqr_binary64_1410`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-to-exp_binary64_1511`

Counts

3 → 76

Calls

6 calls:

6.0ms	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
0.0ms	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (.f64 e (cos.f64 v))))
0.0ms	(*.f64 e (cos.f64 v))

series338.0ms (0.5%)

Counts

3 → 27

Calls

3 calls:

188.0ms	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (.f64 e (cos.f64 v))))
85.0ms	(*.f64 e (sin.f64 v))
65.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 810 to 649 computations (19.9% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5254	2055

localize24.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/120 (pow.f64 v 5))
0.0b	(*.f64 1/5040 (pow.f64 v 7))
0.0b	(/.f64 (-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 1/5040 (pow.f64 v 7))))) (+.f64 1 (.f64 e (cos.f64 v))))
0.0b	(+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 1/5040 (pow.f64 v 7)))
0.2b	(*.f64 1/6 (pow.f64 v 3))
0.7b	(.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7))))
4.2b	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
19.1b	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7)))))

rewrite43.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1464`
18×	`associate-r_binary64_1382`
13×	`add-exp-log_binary64_1480`
12×	`associate-r/_binary64_1384` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442`
10×	`add-cbrt-cube_binary64_1478`
9×	`associate-l_binary64_1383`
8×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`
5×	`prod-exp_binary64_1491`
4×	`cube-prod_binary64_1470` `frac-sub_binary64_1451` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `unpow-prod-down_binary64_1521`
3×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`
2×	`associate--l+_binary64_1379` `pow-prod-down_binary64_1513` `sqr-pow_binary64_1414` `associate--r+_binary64_1378`
1×	`cube-mult_binary64_1472` `cancel-sign-sub-inv_binary64_1408` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `unpow3_binary64_1508` `distribute-lft-out--_binary64_1394` `pow-to-exp_binary64_1511`

Counts

4 → 96

Calls

8 calls:

9.0ms	(.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7))))
9.0ms	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7)))))
7.0ms	(*.f64 1/6 (pow.f64 v 3))
6.0ms	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
0.0ms	(+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 1/5040 (pow.f64 v 7)))

series849.0ms (1.1%)

Counts

4 → 32

Calls

4 calls:

316.0ms	(.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7))))
275.0ms	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 1/6 (pow.f64 v 3)) (*.f64 1/5040 (pow.f64 v 7)))))
218.0ms	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
39.0ms	(*.f64 1/6 (pow.f64 v 3))

Compiler

Compiled 1468 to 1172 computations (20.2% saved)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5012	2793

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`pow1_binary64_1503`
42×	`pow-prod-down_binary64_1513`
32×	`add-sqr-sqrt_binary64_1464`
22×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
20×	`sqrt-pow1_binary64_1460` `sqrt-prod_binary64_1458` `pow1/2_binary64_1522`
16×	`associate-r_binary64_1382` `associate-l_binary64_1383`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
9×	`unswap-sqr_binary64_1410`
8×	`pow-prod-up_binary64_1512`
7×	`sqrt-unprod_binary64_1462`
6×	`pow-sqr_binary64_1415`
4×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`pow-plus_binary64_1505`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `rem-square-sqrt_binary64_1454`

Counts

4 → 122

Calls

8 calls:

13.0ms	(.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))))
8.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
8.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
5.0ms	(*.f64 e (cos.f64 v))
0.0ms	(/.f64 (.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))

series278.0ms (0.4%)

Counts

4 → 27

Calls

4 calls:

82.0ms	(.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))))
69.0ms	(*.f64 e (cos.f64 v))
65.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
62.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))

Compiler

Compiled 1003 to 721 computations (28.1% saved)

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4891	1415
1	4891	1415

prune7.0s (9.4%)

Pruning

198 alts after pruning (192 fresh and 6 done)

	Pruned	Kept	Total
New	371	162	533
Fresh	13	30	43
Picked	0	0	0
Done	0	6	6
Total	384	198	582

Error

0.0b

Counts

582 → 198

Compiler

Compiled 13198 to 7721 computations (41.5% saved)

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (*.f64 e (cos.f64 v)) 3)
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.0b	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (cbrt.f64 (pow.f64 (.f64 e (cos.f64 v)) 3))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.2b	(pow.f64 (*.f64 e (cos.f64 v)) 3)
37.4b	(cbrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1464`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`cbrt-prod_binary64_1473`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-unprod_binary64_1475` `pow-unpow_binary64_1519` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`cube-mult_binary64_1472` `pow-exp_binary64_1510` `cube-prod_binary64_1470` `*-commutative_binary64_1373` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410` `pow-pow_binary64_1514`
1×	`pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466`

Counts

4 → 75

Calls

8 calls:

4.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(pow.f64 (*.f64 e (cos.f64 v)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3))
0.0ms	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (cbrt.f64 (pow.f64 (.f64 e (cos.f64 v)) 3))))

series361.0ms (0.5%)

Counts

4 → 27

Calls

4 calls:

134.0ms	(pow.f64 (*.f64 e (cos.f64 v)) 3)
82.0ms	(*.f64 e (sin.f64 v))
72.0ms	(cbrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3))
72.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 846 to 734 computations (13.2% saved)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4922	905
1	4922	905

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 e (sin.f64 v))
0.1b	(pow.f64 (*.f64 e (sin.f64 v)) 3)
0.1b	(*.f64 e (cos.f64 v))
0.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(pow.f64 (*.f64 e (sin.f64 v)) 3)
0.1b	(*.f64 e (sin.f64 v))
31.6b	(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1464`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`cbrt-prod_binary64_1473`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-unprod_binary64_1475` `pow-unpow_binary64_1519` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`cube-mult_binary64_1472` `pow-exp_binary64_1510` `cube-prod_binary64_1470` `*-commutative_binary64_1373` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410` `pow-pow_binary64_1514`
1×	`pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466`

Counts

4 → 75

Calls

8 calls:

4.0ms	(*.f64 e (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(pow.f64 (*.f64 e (sin.f64 v)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))
0.0ms	(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))

series359.0ms (0.5%)

Counts

4 → 29

Calls

4 calls:

135.0ms	(pow.f64 (*.f64 e (sin.f64 v)) 3)
83.0ms	(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))
75.0ms	(*.f64 e (sin.f64 v))
67.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 816 to 688 computations (15.7% saved)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4953	946
1	4953	946

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.2b	(.f64 (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))) (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))))
13.9b	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))
13.9b	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))

rewrite51.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`sqrt-prod_binary64_1458`
40×	`add-sqr-sqrt_binary64_1464`
23×	`pow1_binary64_1503`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
15×	`associate-r_binary64_1382` `associate-l_binary64_1383`
14×	`swap-sqr_binary64_1409`
12×	`associate-/r/_binary64_1388`
10×	`sqrt-pow1_binary64_1460` `pow1/2_binary64_1522`
8×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`div-inv_binary64_1439` `sqrt-div_binary64_1459` `flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`pow-prod-up_binary64_1512` `unswap-sqr_binary64_1410`
4×	`rem-sqrt-square_binary64_1455` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481`
3×	`pow-sqr_binary64_1415`
2×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `prod-exp_binary64_1491`
1×	`pow2_binary64_1523` `associate-r/_binary64_1384` `sqr-abs_binary64_1457` `pow-plus_binary64_1505` `sqrt-unprod_binary64_1462` `frac-times_binary64_1452` `rem-square-sqrt_binary64_1454` `associate-l/_binary64_1385`

Counts

4 → 129

Calls

8 calls:

19.0ms	(.f64 (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))) (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))))
6.0ms	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))
5.0ms	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))
5.0ms	(*.f64 e (sin.f64 v))
0.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

series572.0ms (0.8%)

Counts

4 → 33

Calls

4 calls:

214.0ms	(.f64 (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))) (sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))))
146.0ms	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))
130.0ms	(sqrt.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v)))))
81.0ms	(*.f64 e (sin.f64 v))

Compiler

Compiled 1482 to 1025 computations (30.8% saved)

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5138	3702

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.0b	(sqrt.f64 (sin.f64 v))
0.0b	(sqrt.f64 (sin.f64 v))
0.0b	(/.f64 (.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.2b	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
0.2b	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
0.2b	(.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))))
5.3b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite48.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`pow1_binary64_1503`
41×	`pow-prod-down_binary64_1513`
29×	`add-sqr-sqrt_binary64_1464`
20×	`sqrt-pow1_binary64_1460` `add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `sqrt-prod_binary64_1458` `pow1/2_binary64_1522`
13×	`associate-r_binary64_1382` `associate-l_binary64_1383` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
8×	`pow-prod-up_binary64_1512` `unswap-sqr_binary64_1410`
7×	`sqrt-unprod_binary64_1462`
6×	`pow-sqr_binary64_1415`
5×	`add-log-exp_binary64_1481`
3×	`log-prod_binary64_1528` `log-pow_binary64_1531` `*-commutative_binary64_1373`
2×	`pow-plus_binary64_1505`
1×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `rem-log-exp_binary64_1483` `exp-prod_binary64_1494` `exp-to-pow_binary64_1504` `rem-square-sqrt_binary64_1454`

Counts

4 → 118

Calls

8 calls:

13.0ms	(.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))))
12.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
8.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
2.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
0.0ms	(/.f64 (.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))

series401.0ms (0.5%)

Counts

4 → 27

Calls

4 calls:

196.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
73.0ms	(.f64 (.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))) (*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v))))
66.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))
64.0ms	(*.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))

Compiler

Compiled 1099 to 817 computations (25.7% saved)

simplify120.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4901	1388
1	4901	1388

prune12.6s (16.8%)

Pruning

316 alts after pruning (306 fresh and 10 done)

	Pruned	Kept	Total
New	382	131	513
Fresh	12	175	187
Picked	0	0	0
Done	1	10	11
Total	395	316	711

Error

0.0b

Counts

711 → 316

Compiler

Compiled 15583 to 8776 computations (43.7% saved)

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 e (sin.f64 v))
0.1b	(.f64 (.f64 (.f64 e e) e) (.f64 (*.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v)))
0.1b	(.f64 (.f64 e e) e)
0.0b	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 e e) e) (.f64 (.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))))))
0.1b	(*.f64 e (sin.f64 v))
0.2b	(.f64 (.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))
0.2b	(*.f64 (cos.f64 v) (cos.f64 v))
37.4b	(cbrt.f64 (.f64 (.f64 (.f64 e e) e) (.f64 (*.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))))

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64_1503`
16×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
13×	`add-exp-log_binary64_1480`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-r_binary64_1382`
7×	`pow-plus_binary64_1505` `associate-l_binary64_1383` `pow-prod-up_binary64_1512`
6×	`pow-prod-down_binary64_1513`
5×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
4×	`add-log-exp_binary64_1481`
3×	`pow2_binary64_1523` `swap-sqr_binary64_1409` `*-commutative_binary64_1373` `pow-sqr_binary64_1415` `cos-mult_binary64_1596` `pow3_binary64_1525` `unswap-sqr_binary64_1410`
2×	`associate-*l/_binary64_1385`
1×	`associate-*r/_binary64_1384` `cbrt-div_binary64_1474` `cbrt-prod_binary64_1473` `rem-3cbrt-lft_binary64_1467` `pow1/3_binary64_1524` `sqr-cos-a_binary64_1591` `rem-cbrt-cube_binary64_1466`

Counts

4 → 86

Calls

8 calls:

20.0ms	(cbrt.f64 (.f64 (.f64 (.f64 e e) e) (.f64 (*.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))))
8.0ms	(.f64 (.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))
5.0ms	(*.f64 (cos.f64 v) (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
0.0ms	(/.f64 (pow.f64 (.f64 e (sin.f64 v)) 1) (+.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 e e) e) (.f64 (.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))))))

series219.0ms (0.3%)

Counts

4 → 21

Calls

4 calls:

81.0ms	(*.f64 e (sin.f64 v))
78.0ms	(cbrt.f64 (.f64 (.f64 (.f64 e e) e) (.f64 (*.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))))
37.0ms	(.f64 (.f64 (cos.f64 v) (cos.f64 v)) (cos.f64 v))
23.0ms	(*.f64 (cos.f64 v) (cos.f64 v))

Compiler

Compiled 804 to 600 computations (25.4% saved)

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4929	783
1	4929	783

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 v (/.f64 v e))
0.0b	(-.f64 v (/.f64 v e))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cancel-sign-sub-inv_binary64_1408` `add-sqr-sqrt_binary64_1464`
10×	`times-frac_binary64_1448` `*-un-lft-identity_binary64_1442`
8×	`add-cube-cbrt_binary64_1477`
3×	`add-log-exp_binary64_1481`
2×	`difference-of-squares_binary64_1411`
1×	`add-cbrt-cube_binary64_1478` `div-inv_binary64_1439` `sub-neg_binary64_1435` `flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `pow1_binary64_1503` `distribute-lft-out--_binary64_1394`

Counts

1 → 27

Calls

2 calls:

11.0ms	(-.f64 v (/.f64 v e))
0.0ms	(-.f64 v (/.f64 v e))

series57.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

57.0ms

(-.f64 v (/.f64 v e))

Compiler

Compiled 78 to 75 computations (3.8% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5000	318

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_1464`
30×	`associate-l_binary64_1383`
26×	`times-frac_binary64_1448` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
22×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
16×	`sqrt-prod_binary64_1458`
10×	`pow1_binary64_1503`
9×	`associate-r_binary64_1382`
6×	`associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
5×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`
4×	`associate-/r/_binary64_1388` `sqrt-div_binary64_1459` `add-log-exp_binary64_1481`
3×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373`
2×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-*l/_binary64_1385`
1×	`associate-/l/_binary64_1389` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453`

Counts

4 → 112

Calls

8 calls:

16.0ms	(/.f64 (.f64 (/.f64 e (sqrt.f64 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v)) (sqrt.f64 (+.f64 1 (*.f64 e (cos.f64 v)))))
12.0ms	(.f64 (/.f64 e (sqrt.f64 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
0.0ms	(sqrt.f64 (+.f64 1 (*.f64 e (cos.f64 v))))

series623.0ms (0.8%)

Counts

4 → 36

Calls

4 calls:

289.0ms	(.f64 (/.f64 e (sqrt.f64 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v))
187.0ms	(/.f64 (.f64 (/.f64 e (sqrt.f64 (+.f64 1 (.f64 e (cos.f64 v))))) (sin.f64 v)) (sqrt.f64 (+.f64 1 (*.f64 e (cos.f64 v)))))
76.0ms	(*.f64 e (cos.f64 v))
71.0ms	(*.f64 e (cos.f64 v))

Compiler

Compiled 1590 to 1197 computations (24.7% saved)

simplify121.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4951	3443
1	4951	3443

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (sqrt.f64 (.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.0b	(/.f64 (.f64 (sqrt.f64 (.f64 e (sin.f64 v))) (sqrt.f64 (.f64 e (sin.f64 v)))) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))
0.2b	(*.f64 (sqrt.f64 e) (cos.f64 v))
0.4b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
13.9b	(sqrt.f64 (*.f64 e (sin.f64 v)))
13.9b	(sqrt.f64 (*.f64 e (sin.f64 v)))

rewrite26.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_1503`
13×	`add-sqr-sqrt_binary64_1464`
12×	`associate-l_binary64_1383`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`sqrt-prod_binary64_1458` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`pow-prod-down_binary64_1513`
4×	`sqrt-pow1_binary64_1460` `associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
2×	`*-commutative_binary64_1373` `pow1/2_binary64_1522` `unswap-sqr_binary64_1410`

Counts

4 → 65

Calls

8 calls:

8.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
6.0ms	(*.f64 (sqrt.f64 e) (cos.f64 v))
3.0ms	(sqrt.f64 (*.f64 e (sin.f64 v)))
3.0ms	(sqrt.f64 (*.f64 e (sin.f64 v)))
0.0ms	(/.f64 (.f64 (sqrt.f64 (.f64 e (sin.f64 v))) (sqrt.f64 (.f64 e (sin.f64 v)))) (+.f64 1 (.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v)))))

series238.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

61.0ms	(sqrt.f64 (*.f64 e (sin.f64 v)))
60.0ms	(sqrt.f64 (*.f64 e (sin.f64 v)))
58.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (cos.f64 v)))
58.0ms	(*.f64 (sqrt.f64 e) (cos.f64 v))

Compiler

Compiled 1145 to 746 computations (34.8% saved)

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4904	784
1	4904	784

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3)))
0.1b	(*.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3)))
0.1b	(*.f64 1/120 (pow.f64 v 5))
0.0b	(*.f64 1/5040 (pow.f64 v 7))
4.2b	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
10.3b	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3))) (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3)))) (*.f64 1/5040 (pow.f64 v 7)))))
18.3b	(sqrt.f64 (pow.f64 v 3))
18.3b	(sqrt.f64 (pow.f64 v 3))

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`sqrt-prod_binary64_1458`
20×	`add-sqr-sqrt_binary64_1464`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`associate-*r/_binary64_1384`
8×	`rem-sqrt-square_binary64_1455` `cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
6×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`frac-sub_binary64_1451` `sqr-pow_binary64_1414`
3×	`associate-r_binary64_1382` `associate-l_binary64_1383` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
2×	`associate--l+_binary64_1379` `sqrt-pow1_binary64_1460` `cube-mult_binary64_1472` `unpow3_binary64_1508` `pow1/2_binary64_1522` `associate--r+_binary64_1378`
1×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `sub-neg_binary64_1435` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `flip--_binary64_1417` `diff-log_binary64_1534` `prod-exp_binary64_1491` `distribute-lft-out--_binary64_1394` `unswap-sqr_binary64_1410`

Counts

4 → 93

Calls

8 calls:

10.0ms	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3))) (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3)))) (*.f64 1/5040 (pow.f64 v 7)))))
6.0ms	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
3.0ms	(sqrt.f64 (pow.f64 v 3))
3.0ms	(sqrt.f64 (pow.f64 v 3))
0.0ms	(*.f64 1/5040 (pow.f64 v 7))

series600.0ms (0.8%)

Counts

4 → 26

Calls

4 calls:

345.0ms	(-.f64 (.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5)))) (.f64 e (+.f64 (.f64 (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3))) (.f64 (sqrt.f64 1/6) (sqrt.f64 (pow.f64 v 3)))) (*.f64 1/5040 (pow.f64 v 7)))))
207.0ms	(.f64 e (+.f64 v (.f64 1/120 (pow.f64 v 5))))
24.0ms	(sqrt.f64 (pow.f64 v 3))
23.0ms	(sqrt.f64 (pow.f64 v 3))

Compiler

Compiled 1543 to 1269 computations (17.8% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4943	2236
1	4943	2236

prune20.0s (26.7%)

Pruning

439 alts after pruning (425 fresh and 14 done)

	Pruned	Kept	Total
New	358	140	498
Fresh	16	285	301
Picked	0	0	0
Done	1	14	15
Total	375	439	814

Error

0.0b

Counts

814 → 439

Compiler

Compiled 9410 to 4901 computations (47.9% saved)

simplify536.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4953	36291
1	4953	36291

regimes5.4s (7.2%)

Compiler: Compiled 47420 to 33480 computations (29.4% saved)

bsearch0.0ms (0%)

regimes2.4s (3.2%)

Compiler: Compiled 21794 to 16115 computations (26.1% saved)

bsearch0.0ms (0%)

regimes83.0ms (0.1%)

Compiler: Compiled 436 to 374 computations (14.2% saved)

bsearch0.0ms (0%)

regimes56.0ms (0.1%)

Compiler: Compiled 256 to 220 computations (14.1% saved)

bsearch0.0ms (0%)

regimes53.0ms (0.1%)

Compiler: Compiled 248 to 212 computations (14.5% saved)

bsearch0.0ms (0%)

regimes36.0ms (0%)

Compiler: Compiled 108 to 112 computations (-3.7% saved)

bsearch0.0ms (0%)

regimes29.0ms (0%)

Compiler: Compiled 64 to 74 computations (-15.6% saved)

bsearch0.0ms (0%)

regimes27.0ms (0%)

Compiler: Compiled 50 to 62 computations (-24% saved)

bsearch0.0ms (0%)

regimes25.0ms (0%)

Compiler: Compiled 36 to 52 computations (-44.4% saved)

bsearch0.0ms (0%)

regimes19.0ms (0%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch0.0ms (0%)

regimes14.0ms (0%)

Accuracy

Total 0.1b remaining (90.8%)

Threshold costs 0.1b (90.8%)

Compiler

Compiled 8 to 18 computations (-125% saved)

bsearch8.0ms (0%)

Compiler: Compiled 90 to 75 computations (16.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	135
1	116	135

end0.0ms (0%)

sample18.2s (24.3%)

Algorithm

1×

intervals

Results

640.0ms	2024×	body	1024	valid
341.0ms	4474×	body	128	valid
212.0ms	1006×	body	512	valid
167.0ms	8000×	pre	128	true
73.0ms	489×	body	256	valid
9.0ms	7×	body	2048	valid

Compiler

Compiled 15773 to 11176 computations (29.1% saved)

Pareto

0.9270333531664156