Details

analyze6.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample25.0ms (0%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify169.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

2 → 2

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5039	30

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	2	2
Picked	0	0
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 2

Compiler

Compiled 20 to 16 computations (20% saved)

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite55.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
23×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `*-un-lft-identity_binary64_1442`
22×	`times-frac_binary64_1448` `add-cube-cbrt_binary64_1477`
20×	`sqrt-prod_binary64_1458`
18×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
17×	`pow1_binary64_1503`
15×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`associate-*r/_binary64_1384` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373`
2×	`cbrt-undiv_binary64_1476` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `difference-of-squares_binary64_1411` `div-exp_binary64_1493`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `div-inv_binary64_1439` `pow1/2_binary64_1522`

Counts

4 → 129

Calls

8 calls:

19.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
7.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

series178.0ms (0.2%)

Counts

4 → 21

Calls

4 calls:

72.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
52.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
29.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
24.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 608 to 550 computations (9.5% saved)

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune1.1s (1.3%)

Pruning

64 alts after pruning (63 fresh and 1 done)

	Pruned	Kept	Total
New	88	62	150
Fresh	0	1	1
Picked	0	0	0
Done	0	1	1
Total	88	64	152

Error

Counts

152 → 64

Compiler

Compiled 4608 to 3535 computations (23.3% saved)

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`associate-l_binary64_1383`
29×	`add-sqr-sqrt_binary64_1464`
23×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477`
20×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
19×	`flip3--_binary64_1446` `flip--_binary64_1417`
18×	`times-frac_binary64_1448`
17×	`pow1_binary64_1503`
16×	`sqrt-prod_binary64_1458`
14×	`associate-*r/_binary64_1384`
10×	`cbrt-unprod_binary64_1475` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
7×	`associate-r_binary64_1382` `pow-prod-down_binary64_1513` `associate-*l/_binary64_1385`
6×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435`
4×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373` `unswap-sqr_binary64_1410`
2×	`cbrt-undiv_binary64_1476` `difference-of-squares_binary64_1411` `div-exp_binary64_1493`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `div-inv_binary64_1439` `pow1/2_binary64_1522`

Counts

4 → 136

Calls

8 calls:

16.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

series167.0ms (0.2%)

Counts

4 → 21

Calls

4 calls:

66.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
40.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
31.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 563 to 519 computations (7.8% saved)

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	3983
1	4949	3983

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))))
0.0b	(*.f64 (pow.f64 v 6) 9/64)
0.0b	(-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (.f64 (pow.f64 v 6) 9/64)))
0.0b	(+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))
0.0b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))))
0.0b	(*.f64 (pow.f64 v 6) 9/64)
0.1b	(*.f64 (pow.f64 v 4) 3/32)
0.1b	(.f64 (.f64 v v) 5/8)

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_1464`
21×	`associate-l_binary64_1383` `add-exp-log_binary64_1480`
18×	`*-un-lft-identity_binary64_1442`
16×	`add-cube-cbrt_binary64_1477`
15×	`add-cbrt-cube_binary64_1478`
14×	`associate-r_binary64_1382`
11×	`pow1_binary64_1503`
10×	`prod-exp_binary64_1491`
9×	`unswap-sqr_binary64_1410`
8×	`unpow-prod-down_binary64_1521`
6×	`associate-*r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475`
5×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
4×	`frac-sub_binary64_1451` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `sqrt-prod_binary64_1458` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate--l+_binary64_1379` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `pow-to-exp_binary64_1511`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 109

Calls

8 calls:

16.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))))
9.0ms	(.f64 (.f64 v v) 5/8)
5.0ms	(*.f64 (pow.f64 v 6) 9/64)
5.0ms	(*.f64 (pow.f64 v 4) 3/32)
0.0ms	(+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))

series179.0ms (0.2%)

Counts

4 → 17

Calls

4 calls:

67.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))))
47.0ms	(*.f64 (pow.f64 v 6) 9/64)
37.0ms	(*.f64 (pow.f64 v 4) 3/32)
28.0ms	(.f64 (.f64 v v) 5/8)

Compiler

Compiled 568 to 512 computations (9.9% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5738	2490

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -9)))
0.0b	(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 v 4) -9))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) (.f64 4 (sqrt.f64 (+.f64 1 (.f64 3 (*.f64 v v))))))
0.0b	(.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 v 4) -9))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
0.0b	(sqrt.f64 (+.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 v 4) -9))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
0.0b	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
0.1b	(*.f64 (pow.f64 v 4) -9)
0.2b	(.f64 3 (.f64 v v))

rewrite42.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1464`
22×	`associate-l_binary64_1383`
21×	`add-exp-log_binary64_1480`
18×	`add-cbrt-cube_binary64_1478`
16×	`pow1_binary64_1503`
14×	`*-un-lft-identity_binary64_1442`
13×	`add-cube-cbrt_binary64_1477`
10×	`associate-r/_binary64_1384` `associate-r*_binary64_1382` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491`
8×	`cbrt-unprod_binary64_1475`
7×	`pow-prod-down_binary64_1513` `sqrt-prod_binary64_1458`
6×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `sqrt-div_binary64_1459` `unswap-sqr_binary64_1410`
4×	`flip3--_binary64_1446` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `flip--_binary64_1417` `frac-times_binary64_1452` `unpow-prod-down_binary64_1521`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`sqr-pow_binary64_1414` `difference-of-squares_binary64_1411` `associate-*l/_binary64_1385`
1×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`

Counts

4 → 111

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 v 4) -9))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
8.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
5.0ms	(*.f64 (pow.f64 v 4) -9)
0.0ms	(sqrt.f64 (+.f64 1 (.f64 3 (.f64 v v))))

series186.0ms (0.2%)

Counts

4 → 18

Calls

4 calls:

66.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
55.0ms	(.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 v 4) -9))) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))
32.0ms	(.f64 3 (.f64 v v))
32.0ms	(*.f64 (pow.f64 v 4) -9)

Compiler

Compiled 792 to 698 computations (11.9% saved)

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4879	2278
1	4879	2278

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2))) 1) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (/.f64 (sqrt.f64 (cbrt.f64 2)) 4))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2))) 1) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) (/.f64 (sqrt.f64 (cbrt.f64 2)) 4)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.2b	(.f64 3 (.f64 v v))
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1478` `cbrt-prod_binary64_1473` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `pow1/3_binary64_1524` `prod-exp_binary64_1491`
1×	`associate-r_binary64_1382` `*-commutative_binary64_1373` `unswap-sqr_binary64_1410`

Counts

4 → 52

Calls

8 calls:

8.0ms	(.f64 3 (.f64 v v))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
0.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

series30.0ms (0%)

Counts

4 → 3

Calls

4 calls:

29.0ms	(.f64 3 (.f64 v v))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 174 to 162 computations (6.9% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4897	387
1	4897	387

prune7.8s (9.1%)

Pruning

189 alts after pruning (184 fresh and 5 done)

	Pruned	Kept	Total
New	321	146	467
Fresh	20	38	58
Picked	0	0	0
Done	1	5	6
Total	342	189	531

Error

Counts

531 → 189

Compiler

Compiled 16029 to 12591 computations (21.4% saved)

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))
0.2b	(.f64 3 (.f64 v v))
2.3b	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))

rewrite34.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1464`
19×	`*-un-lft-identity_binary64_1442`
15×	`sqrt-prod_binary64_1458` `pow1_binary64_1503`
13×	`associate-l_binary64_1383`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`add-cube-cbrt_binary64_1477`
8×	`sqrt-div_binary64_1459`
7×	`flip3--_binary64_1446` `flip--_binary64_1417`
6×	`associate-r_binary64_1382` `difference-of-squares_binary64_1411`
5×	`log-pow_binary64_1531` `add-log-exp_binary64_1481`
4×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `frac-times_binary64_1452` `prod-exp_binary64_1491` `distribute-lft-out--_binary64_1394`
3×	`log-prod_binary64_1528` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `-commutative_binary64_1373` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `associate-*l/_binary64_1385`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `rem-log-exp_binary64_1483` `exp-prod_binary64_1494` `exp-to-pow_binary64_1504` `pow1/2_binary64_1522`

Counts

4 → 92

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
4.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
2.0ms	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))
0.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))

series402.0ms (0.5%)

Counts

4 → 20

Calls

4 calls:

198.0ms	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))
91.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
84.0ms	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 638 to 584 computations (8.5% saved)

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5069	1967

localize5.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))
1.0b	(pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3)

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1464`
34×	`frac-times_binary64_1452` `cube-div_binary64_1471`
28×	`sqrt-div_binary64_1459`
26×	`flip3--_binary64_1446` `flip--_binary64_1417`
25×	`associate-l_binary64_1383`
24×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
22×	`times-frac_binary64_1448` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
18×	`associate-*r/_binary64_1384`
17×	`cbrt-div_binary64_1474` `sqrt-prod_binary64_1458` `pow1_binary64_1503` `associate-*l/_binary64_1385`
10×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
8×	`cbrt-prod_binary64_1473`
7×	`associate-r_binary64_1382` `pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
4×	`pow-exp_binary64_1510` `add-log-exp_binary64_1481` `rem-cube-cbrt_binary64_1465`
3×	`pow-unpow_binary64_1519` `pow-pow_binary64_1514`
2×	`cbrt-undiv_binary64_1476` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `*-commutative_binary64_1373` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `div-exp_binary64_1493` `unpow-prod-down_binary64_1521`
1×	`div-inv_binary64_1439` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466`

Counts

4 → 149

Calls

8 calls:

16.0ms	(pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3)
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
6.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3))
0.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

series298.0ms (0.3%)

Counts

4 → 21

Calls

4 calls:

154.0ms	(pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3)
65.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))) 3))
52.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
26.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 763 to 715 computations (6.3% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5097	4974

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))
0.0b	(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (.f64 v v))))) (.f64 4 (sqrt.f64 (+.f64 1 (.f64 3 (.f64 v v))))))
0.0b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 v 4) -9) 1))
0.0b	(sqrt.f64 (+.f64 1 (.f64 3 (.f64 v v))))
0.0b	(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (*.f64 v v)))))
0.1b	(*.f64 (pow.f64 v 4) -9)
0.2b	(.f64 (.f64 v v) (*.f64 v v))
0.2b	(.f64 3 (.f64 v v))

rewrite74.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`pow1_binary64_1503`
36×	`pow-prod-up_binary64_1512`
35×	`add-exp-log_binary64_1480`
32×	`add-cbrt-cube_binary64_1478`
26×	`pow-prod-down_binary64_1513`
22×	`pow-sqr_binary64_1415`
18×	`pow-plus_binary64_1505`
17×	`prod-exp_binary64_1491`
16×	`add-sqr-sqrt_binary64_1464`
15×	`cbrt-unprod_binary64_1475`
13×	`pow2_binary64_1523`
12×	`*-un-lft-identity_binary64_1442`
11×	`associate-l_binary64_1383`
10×	`add-cube-cbrt_binary64_1477`
8×	`associate-*r/_binary64_1384` `associate-/l/_binary64_1389`
6×	`sqrt-div_binary64_1459`
5×	`associate-r_binary64_1382` `unswap-sqr_binary64_1410`
4×	`associate-/r*_binary64_1386` `times-frac_binary64_1448` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unpow-prod-down_binary64_1521`
3×	`cbrt-undiv_binary64_1476` `flip3--_binary64_1446` `*-commutative_binary64_1373` `flip--_binary64_1417` `div-exp_binary64_1493`
2×	`associate-/r/_binary64_1388` `distribute-lft-out_binary64_1393` `sqr-pow_binary64_1414` `associate-*l/_binary64_1385`
1×	`pow-exp_binary64_1510` `swap-sqr_binary64_1409` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `pow-to-exp_binary64_1511`

Counts

4 → 142

Calls

8 calls:

30.0ms	(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (*.f64 v v)))))
12.0ms	(.f64 (.f64 v v) (*.f64 v v))
6.0ms	(.f64 3 (.f64 v v))
5.0ms	(*.f64 (pow.f64 v 4) -9)
0.0ms	(sqrt.f64 (+.f64 1 (.f64 3 (.f64 v v))))

series180.0ms (0.2%)

Counts

4 → 15

Calls

4 calls:

72.0ms	(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (*.f64 v v)))))
36.0ms	(.f64 (.f64 v v) (*.f64 v v))
36.0ms	(*.f64 (pow.f64 v 4) -9)
35.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1008 to 814 computations (19.2% saved)

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5112	2230

localize25.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (.f64 (.f64 v v) 5/8) (.f64 (pow.f64 v 6) 9/64))))
0.0b	(sqrt.f64 (-.f64 (+.f64 (.f64 (pow.f64 v 4) 3/32) 1/4) (+.f64 (.f64 (.f64 v v) 5/8) (.f64 (pow.f64 v 6) 9/64))))
0.0b	(+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))
0.0b	(+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))
0.1b	(*.f64 (pow.f64 v 4) 3/32)
0.1b	(*.f64 (pow.f64 v 4) 3/32)
0.1b	(.f64 (.f64 v v) 5/8)
0.1b	(.f64 (.f64 v v) 5/8)

rewrite34.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464`
18×	`add-cbrt-cube_binary64_1478`
16×	`associate-l_binary64_1383`
14×	`pow1_binary64_1503`
12×	`associate-r_binary64_1382` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`cbrt-unprod_binary64_1475` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
6×	`pow-prod-down_binary64_1513`
4×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481` `sqr-pow_binary64_1414`
2×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`

Counts

4 → 88

Calls

8 calls:

6.0ms	(.f64 (.f64 v v) 5/8)
6.0ms	(.f64 (.f64 v v) 5/8)
5.0ms	(*.f64 (pow.f64 v 4) 3/32)
5.0ms	(*.f64 (pow.f64 v 4) 3/32)
0.0ms	(+.f64 (.f64 (.f64 v v) 5/8) (*.f64 (pow.f64 v 6) 9/64))

series137.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (pow.f64 v 4) 3/32)
36.0ms	(*.f64 (pow.f64 v 4) 3/32)
33.0ms	(.f64 (.f64 v v) 5/8)
30.0ms	(.f64 (.f64 v v) 5/8)

Compiler

Compiled 1056 to 888 computations (15.9% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4979	898
1	4979	898

prune18.0s (21%)

Pruning

315 alts after pruning (307 fresh and 8 done)

	Pruned	Kept	Total
New	386	153	539
Fresh	25	154	179
Picked	0	0	0
Done	2	8	10
Total	413	315	728

Error

Counts

728 → 315

Compiler

Compiled 24542 to 18971 computations (22.7% saved)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.0b	(.f64 (fabs.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (fabs.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
0.0b	(.f64 (fabs.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
0.2b	(.f64 3 (.f64 v v))
2.3b	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))

rewrite29.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1464`
14×	`pow1_binary64_1503` `*-un-lft-identity_binary64_1442`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`add-cube-cbrt_binary64_1477`
7×	`sqrt-prod_binary64_1458`
6×	`associate-r_binary64_1382` `associate-l_binary64_1383`
5×	`add-log-exp_binary64_1481`
4×	`cbrt-unprod_binary64_1475` `log-pow_binary64_1531` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `difference-of-squares_binary64_1411`
3×	`log-prod_binary64_1528`
2×	`associate-r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `flip3--_binary64_1446` `-commutative_binary64_1373` `sqrt-div_binary64_1459` `flip--_binary64_1417` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `distribute-lft-out--_binary64_1394` `unswap-sqr_binary64_1410`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `rem-log-exp_binary64_1483` `exp-prod_binary64_1494` `exp-to-pow_binary64_1504` `pow1/2_binary64_1522`

Counts

4 → 78

Calls

8 calls:

6.0ms	(.f64 (fabs.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
5.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
2.0ms	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))
0.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))

series285.0ms (0.3%)

Counts

4 → 18

Calls

4 calls:

92.0ms	(.f64 (fabs.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
89.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 3 (.f64 v v))))))
79.0ms	(log.f64 (exp.f64 (.f64 3 (.f64 v v))))
26.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 688 to 632 computations (8.1% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4925	1491
1	4925	1491

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) -5/8)
0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
0.1b	(.f64 (.f64 v v) -5/8)

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1464`
9×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
7×	`associate-l_binary64_1383`
6×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `sqrt-prod_binary64_1458` `prod-exp_binary64_1491`
3×	`unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `-commutative_binary64_1373` `add-log-exp_binary64_1481`
1×	`distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416`

Counts

2 → 45

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
6.0ms	(.f64 (.f64 v v) -5/8)
0.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
0.0ms	(.f64 (.f64 v v) -5/8)

series110.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

86.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
25.0ms	(.f64 (.f64 v v) -5/8)

Compiler

Compiled 158 to 159 computations (-0.6% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5073	737

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (pow.f64 v 6) 9/64)
0.0b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))))
0.0b	(-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (*.f64 (pow.f64 v 6) 9/64)))
0.0b	(+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))
0.0b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))))
0.0b	(*.f64 (pow.f64 v 6) 125/512)
0.1b	(*.f64 (pow.f64 v 4) 3/32)
23.0b	(cbrt.f64 (*.f64 (pow.f64 v 6) 125/512))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1464`
20×	`associate-l_binary64_1383`
17×	`*-un-lft-identity_binary64_1442`
16×	`add-exp-log_binary64_1480`
15×	`add-cube-cbrt_binary64_1477`
11×	`associate-r_binary64_1382`
10×	`add-cbrt-cube_binary64_1478`
8×	`unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
7×	`prod-exp_binary64_1491`
6×	`associate-*r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `pow1_binary64_1503`
5×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
4×	`frac-sub_binary64_1451` `add-log-exp_binary64_1481` `sqrt-prod_binary64_1458` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`
2×	`associate--l+_binary64_1379` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `pow-to-exp_binary64_1511`
1×	`cbrt-prod_binary64_1473` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `pow1/3_binary64_1524` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 99

Calls

8 calls:

14.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))))
5.0ms	(*.f64 (pow.f64 v 6) 125/512)
5.0ms	(*.f64 (pow.f64 v 4) 3/32)
3.0ms	(cbrt.f64 (*.f64 (pow.f64 v 6) 125/512))
0.0ms	(+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))

series179.0ms (0.2%)

Counts

4 → 17

Calls

4 calls:

74.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32)) (+.f64 (cbrt.f64 (.f64 (pow.f64 v 6) 125/512)) (.f64 (pow.f64 v 6) 9/64))))
43.0ms	(*.f64 (pow.f64 v 6) 125/512)
32.0ms	(*.f64 (pow.f64 v 4) 3/32)
30.0ms	(cbrt.f64 (*.f64 (pow.f64 v 6) 125/512))

Compiler

Compiled 580 to 536 computations (7.6% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4930	2550
1	4930	2550

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

2.3b	(log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (.f64 v v))))))) (-.f64 1 (.f64 v v))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))
0.0b	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))
0.0b	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
2.3b	(log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))
2.3b	(log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))

rewrite42.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_1464`
24×	`log-prod_binary64_1528`
23×	`*-un-lft-identity_binary64_1442`
15×	`sqrt-prod_binary64_1458`
14×	`add-cube-cbrt_binary64_1477`
10×	`associate-l_binary64_1383` `pow1_binary64_1503`
9×	`log-pow_binary64_1531`
8×	`sqrt-div_binary64_1459`
7×	`flip3--_binary64_1446` `add-exp-log_binary64_1480` `flip--_binary64_1417` `exp-sum_binary64_1488`
6×	`add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411` `unpow-prod-down_binary64_1521`
5×	`associate-r_binary64_1382`
4×	`rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `exp-prod_binary64_1494` `frac-times_binary64_1452` `distribute-lft-out--_binary64_1394`
2×	`associate-r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `distribute-lft-in_binary64_1391` `sqr-pow_binary64_1414` `distribute-rgt-in_binary64_1392` `associate-l/_binary64_1385` `unswap-sqr_binary64_1410`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow1/2_binary64_1522` `prod-exp_binary64_1491` `pow-to-exp_binary64_1511`

Counts

4 → 100

Calls

8 calls:

17.0ms	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
7.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))
5.0ms	(log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))
3.0ms	(log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))
0.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))

series993.0ms (1.2%)

Counts

4 → 20

Calls

4 calls:

417.0ms	(.f64 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
226.0ms	(log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))
218.0ms	(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))
133.0ms	(log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))

Compiler

Compiled 838 to 778 computations (7.2% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4943	2138
1	4943	2138

localize33.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 1 (.f64 v v))))) (.f64 4 (sqrt.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (.f64 v v)))) (cbrt.f64 (.f64 3 (.f64 v v))))))))
0.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) -9) 1)))
0.0b	(sqrt.f64 (+.f64 (*.f64 (pow.f64 v 4) -9) 1))
0.0b	(sqrt.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (.f64 v v)))) (cbrt.f64 (.f64 3 (.f64 v v))))))
0.4b	(.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (*.f64 v v))))
26.6b	(cbrt.f64 (.f64 3 (.f64 v v)))
26.6b	(cbrt.f64 (.f64 3 (.f64 v v)))
26.6b	(cbrt.f64 (.f64 3 (.f64 v v)))

rewrite29.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-sqr-sqrt_binary64_1464`
9×	`pow1/3_binary64_1524`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-prod_binary64_1473`
6×	`add-exp-log_binary64_1480`
4×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 58

Calls

8 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (*.f64 v v))))
5.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))
5.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))
4.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))
0.0ms	(sqrt.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (.f64 v v)))) (cbrt.f64 (.f64 3 (.f64 v v))))))

series472.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(.f64 (cbrt.f64 (.f64 3 (.f64 v v))) (cbrt.f64 (.f64 3 (*.f64 v v))))
115.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))
113.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))
111.0ms	(cbrt.f64 (.f64 3 (.f64 v v)))

Compiler

Compiled 1482 to 1116 computations (24.7% saved)

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4954	724
1	4954	724

prune22.5s (26.2%)

Pruning

388 alts after pruning (375 fresh and 13 done)

	Pruned	Kept	Total
New	347	109	456
Fresh	36	266	302
Picked	0	0	0
Done	0	13	13
Total	383	388	771

Error

Counts

771 → 388

Compiler

Compiled 9620 to 7215 computations (25% saved)

simplify893.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5085	47975

regimes3.7s (4.3%)

Compiler: Compiled 49118 to 39828 computations (18.9% saved)

bsearch0.0ms (0%)

regimes355.0ms (0.4%)

Compiler: Compiled 4034 to 3354 computations (16.9% saved)

bsearch0.0ms (0%)

regimes98.0ms (0.1%)

Compiler: Compiled 934 to 820 computations (12.2% saved)

bsearch0.0ms (0%)

regimes116.0ms (0.1%)

Compiler: Compiled 1071 to 948 computations (11.5% saved)

bsearch0.0ms (0%)

regimes102.0ms (0.1%)

Compiler: Compiled 906 to 807 computations (10.9% saved)

bsearch0.0ms (0%)

regimes99.0ms (0.1%)

Compiler: Compiled 842 to 751 computations (10.8% saved)

bsearch0.0ms (0%)

regimes72.0ms (0.1%)

Compiler: Compiled 616 to 550 computations (10.7% saved)

bsearch0.0ms (0%)

regimes16.0ms (0%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 42 to 44 computations (-4.8% saved)

bsearch8.0ms (0%)

Compiler: Compiled 124 to 107 computations (13.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	133	188
1	133	188

end0.0ms (0%)

sample25.2s (29.3%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 24823 to 20142 computations (18.9% saved)

Pareto

0.7494502428610637