Details

analyze306.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample27.0ms (0%)

Algorithm

1×

intervals

Results

13.0ms	96×	body	1024	valid
3.0ms	36×	body	512	valid
2.0ms	96×	body	128	valid
1.0ms	21×	body	256	valid
1.0ms	7×	body	2048	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

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

41.9b

Counts

2 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

3.2b	(-.f64 (exp.f64 x) 1)
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.2b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/r*_binary64_1386`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387` `add-exp-log_binary64_1480`
2×	`associate-/r/_binary64_1388` `flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-exp_binary64_1493`

Counts

2 → 63

Calls

4 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.0ms	(-.f64 (exp.f64 x) 1)

series53.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

38.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
15.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 103 to 80 computations (22.3% saved)

simplify152.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4880	1122
1	4880	1122

prune232.0ms (0.3%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	34	37	71
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	34	38	72

Error

Counts

72 → 38

Compiler

Compiled 1157 to 674 computations (41.7% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (.f64 x x))))
0.0b	(+.f64 x (.f64 1/2 (.f64 x x)))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(+.f64 x (.f64 1/2 (.f64 x x)))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (.f64 x x))))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1464`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`add-cbrt-cube_binary64_1478`
9×	`times-frac_binary64_1448` `add-exp-log_binary64_1480`
8×	`pow1_binary64_1503`
5×	`add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `cbrt-unprod_binary64_1475` `associate-/l_binary64_1387` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`associate-/r/_binary64_1388` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

3 → 59

Calls

6 calls:

6.0ms	(/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (.f64 x x))))
6.0ms	(.f64 1/2 (.f64 x x))
3.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))
0.0ms	(.f64 1/2 (.f64 x x))
0.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))

series95.0ms (0.1%)

Counts

3 → 13

Calls

3 calls:

46.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))
27.0ms	(.f64 1/2 (.f64 x x))
22.0ms	(/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (.f64 x x))))

Compiler

Compiled 207 to 169 computations (18.4% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	1113
1	4949	1113

localize2.0ms (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

localize7.0ms (0%)

Local error

Found 8 expressions with local error:

3.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
3.2b	(-.f64 (exp.f64 x) 1)
0.3b	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.3b	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
3.2b	(-.f64 (exp.f64 x) 1)
3.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_1464`
51×	`*-un-lft-identity_binary64_1442`
42×	`exp-prod_binary64_1494`
40×	`log-pow_binary64_1531`
33×	`times-frac_binary64_1448`
30×	`add-cube-cbrt_binary64_1477`
14×	`difference-of-squares_binary64_1411`
11×	`associate-/r*_binary64_1386`
9×	`cancel-sign-sub-inv_binary64_1408` `add-log-exp_binary64_1481` `pow1_binary64_1503`
8×	`exp-sum_binary64_1488`
7×	`log-prod_binary64_1528` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
6×	`add-cbrt-cube_binary64_1478`
5×	`add-exp-log_binary64_1480`
3×	`sub-neg_binary64_1435` `associate-/l*_binary64_1387`
2×	`rem-exp-log_binary64_1482` `diff-log_binary64_1534` `exp-diff_binary64_1490`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `flip--_binary64_1417` `frac-2neg_binary64_1453` `log-div_binary64_1529` `div-exp_binary64_1493`

Counts

4 → 122

Calls

8 calls:

8.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
8.0ms	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
4.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))

series212.0ms (0.2%)

Counts

4 → 16

Calls

4 calls:

109.0ms	(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
67.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
23.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
12.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 249 to 200 computations (19.7% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4961	1896
1	4961	1896

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
0.3b	(/.f64 (exp.f64 x) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))))
3.2b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite43.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1442`
14×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
12×	`add-sqr-sqrt_binary64_1464`
11×	`add-cbrt-cube_binary64_1478`
9×	`add-exp-log_binary64_1480`
8×	`associate-/r/_binary64_1388` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `add-cube-cbrt_binary64_1477`
6×	`distribute-lft-out_binary64_1393` `pow1_binary64_1503`
5×	`associate-l_binary64_1383`
4×	`associate-r/_binary64_1384` `associate-r_binary64_1382` `associate-l/_binary64_1385`
3×	`times-frac_binary64_1448` `associate-/l*_binary64_1387`
2×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `+-commutative_binary64_1372` `sqrt-prod_binary64_1458` `prod-exp_binary64_1491` `div-exp_binary64_1493`
1×	`associate-/r_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `unswap-sqr_binary64_1410`

Counts

4 → 85

Calls

8 calls:

15.0ms	(/.f64 (exp.f64 x) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))))
11.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
4.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0ms	(sqrt.f64 (exp.f64 x))

series194.0ms (0.2%)

Counts

4 → 15

Calls

4 calls:

94.0ms	(/.f64 (exp.f64 x) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))))
55.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
26.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
18.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))

Compiler

Compiled 349 to 245 computations (29.8% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4987	1876
1	4987	1876

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
0.0b	(*.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
0.3b	(/.f64 (exp.f64 x) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))) (cbrt.f64 (-.f64 (exp.f64 x) 1))))
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)

rewrite56.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-div_binary64_1474`
30×	`flip3--_binary64_1446` `flip--_binary64_1417`
28×	`frac-times_binary64_1452`
26×	`associate-/r/_binary64_1388`
21×	`add-sqr-sqrt_binary64_1464`
18×	`*-un-lft-identity_binary64_1442`
14×	`associate-*l/_binary64_1385`
10×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478` `cancel-sign-sub-inv_binary64_1408` `add-cube-cbrt_binary64_1477`
8×	`associate-*r/_binary64_1384`
6×	`difference-of-squares_binary64_1411`
4×	`pow1_binary64_1503`
3×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `sub-neg_binary64_1435` `associate-/l*_binary64_1387` `difference-of-sqr-1_binary64_1412` `diff-log_binary64_1534` `prod-exp_binary64_1491` `distribute-lft-out--_binary64_1394` `div-exp_binary64_1493`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453`

Counts

4 → 103

Calls

8 calls:

25.0ms	(/.f64 (exp.f64 x) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))) (cbrt.f64 (-.f64 (exp.f64 x) 1))))
7.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))) (cbrt.f64 (-.f64 (exp.f64 x) 1)))

series96.0ms (0.1%)

Counts

4 → 13

Calls

4 calls:

50.0ms	(/.f64 (exp.f64 x) (.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))) (cbrt.f64 (-.f64 (exp.f64 x) 1))))
15.0ms	(-.f64 (exp.f64 x) 1)
15.0ms	(-.f64 (exp.f64 x) 1)
15.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 405 to 291 computations (28.1% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5543	1844

prune5.1s (5.6%)

Pruning

165 alts after pruning (159 fresh and 6 done)

	Pruned	Kept	Total
New	293	133	426
Fresh	6	26	32
Picked	0	0	0
Done	0	6	6
Total	299	165	464

Error

Counts

464 → 165

Compiler

Compiled 8748 to 5152 computations (41.1% saved)

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x))))
0.0b	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0b	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0b	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x))))
0.2b	(/.f64 (exp.f64 x) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))))

rewrite48.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_1478`
18×	`associate-*r/_binary64_1384`
17×	`add-exp-log_binary64_1480`
15×	`*-un-lft-identity_binary64_1442`
14×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
13×	`add-sqr-sqrt_binary64_1464`
11×	`pow1_binary64_1503`
9×	`add-cube-cbrt_binary64_1477`
8×	`associate-/r/_binary64_1388` `associate-l_binary64_1383` `frac-times_binary64_1452`
7×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
6×	`add-log-exp_binary64_1481`
5×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
4×	`associate-r_binary64_1382` `pow-prod-down_binary64_1513` `distribute-lft-out_binary64_1393` `associate-*l/_binary64_1385`
3×	`cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l*_binary64_1387` `div-exp_binary64_1493`
2×	`*-commutative_binary64_1373` `sqrt-prod_binary64_1458`
1×	`associate-/r*_binary64_1386` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `unswap-sqr_binary64_1410`

Counts

4 → 98

Calls

8 calls:

15.0ms	(/.f64 (exp.f64 x) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
11.0ms	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
4.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))
0.0ms	(sqrt.f64 (exp.f64 x))

series234.0ms (0.3%)

Counts

4 → 20

Calls

4 calls:

94.0ms	(.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x))))
72.0ms	(/.f64 (exp.f64 x) (.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
46.0ms	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
21.0ms	(+.f64 1 (sqrt.f64 (exp.f64 x)))

Compiler

Compiled 591 to 448 computations (24.2% saved)

simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5031	2317

localize4.0ms (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

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

3.2b	(-.f64 (exp.f64 x) 1)
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.2b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/r*_binary64_1386`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387` `add-exp-log_binary64_1480`
2×	`associate-/r/_binary64_1388` `flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-exp_binary64_1493`

Counts

2 → 63

Calls

4 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
0.0ms	(-.f64 (exp.f64 x) 1)

series62.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

46.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 159 to 136 computations (14.5% saved)

simplify154.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4880	1122
1	4880	1122

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(+.f64 x (.f64 1/2 (.f64 x x)))
0.0b	(+.f64 x (.f64 1/2 (.f64 x x)))
0.1b	(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x)))))
0.2b	(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (*.f64 x x))))))
9.6b	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))
9.6b	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))

rewrite124.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

306×	`add-sqr-sqrt_binary64_1464`
288×	`sqrt-prod_binary64_1458`
276×	`times-frac_binary64_1448`
150×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
70×	`swap-sqr_binary64_1409`
42×	`associate-r_binary64_1382` `associate-l_binary64_1383`
25×	`unswap-sqr_binary64_1410`
18×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
14×	`sqrt-div_binary64_1459`
13×	`pow1_binary64_1503`
10×	`associate-/r/_binary64_1388`
7×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`associate-/r_binary64_1386` `associate-/l_binary64_1387`
5×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sqrt-undiv_binary64_1463` `div-exp_binary64_1493`
4×	`cbrt-unprod_binary64_1475` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow1/2_binary64_1522`
1×	`pow2_binary64_1523` `associate-r/_binary64_1384` `clear-num_binary64_1441` `pow-plus_binary64_1505` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `pow-sqr_binary64_1415` `sqrt-unprod_binary64_1462` `frac-2neg_binary64_1453` `frac-times_binary64_1452` `rem-square-sqrt_binary64_1454` `pow-prod-up_binary64_1512` `associate-*l/_binary64_1385`

Counts

4 → 298

Calls

8 calls:

51.0ms	(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (*.f64 x x))))))
8.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x)))))
3.0ms	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))
3.0ms	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))
0.0ms	(+.f64 x (.f64 1/2 (.f64 x x)))

series121.0ms (0.1%)

Counts

4 → 16

Calls

4 calls:

44.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x)))))
27.0ms	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))
26.0ms	(sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))
24.0ms	(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (.f64 x x))))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (+.f64 x (.f64 1/2 (*.f64 x x))))))

Compiler

Compiled 683 to 499 computations (26.9% saved)

simplify172.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5023	12104

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))))
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)

rewrite36.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_1464`
40×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
19×	`add-cube-cbrt_binary64_1477`
14×	`difference-of-squares_binary64_1411`
10×	`add-log-exp_binary64_1481`
9×	`cancel-sign-sub-inv_binary64_1408`
7×	`associate-/r*_binary64_1386` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
6×	`add-cbrt-cube_binary64_1478`
5×	`add-exp-log_binary64_1480`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
3×	`sub-neg_binary64_1435` `associate-/l*_binary64_1387` `diff-log_binary64_1534`
2×	`associate-/r/_binary64_1388`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 99

Calls

8 calls:

11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))))

series94.0ms (0.1%)

Counts

4 → 13

Calls

4 calls:

49.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
15.0ms	(-.f64 (exp.f64 x) 1)
15.0ms	(-.f64 (exp.f64 x) 1)
15.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 646 to 407 computations (37% saved)

simplify130.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4940	1480
1	4940	1480

prune14.5s (15.9%)

Pruning

377 alts after pruning (367 fresh and 10 done)

	Pruned	Kept	Total
New	393	222	615
Fresh	9	145	154
Picked	0	0	0
Done	1	10	11
Total	403	377	780

Error

Counts

780 → 377

Compiler

Compiled 20453 to 12139 computations (40.6% saved)

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
0.0b	(/.f64 (exp.f64 x) (.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
0.0b	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0b	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0b	(/.f64 (exp.f64 x) (.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
0.1b	(.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))

rewrite41.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64_1478`
18×	`associate-*r/_binary64_1384`
16×	`add-exp-log_binary64_1480`
13×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
10×	`add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
8×	`associate-/r/_binary64_1388` `frac-times_binary64_1452` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
6×	`associate-l_binary64_1383`
5×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
4×	`associate-r_binary64_1382` `pow-prod-down_binary64_1513` `associate-*l/_binary64_1385`
3×	`cbrt-undiv_binary64_1476` `times-frac_binary64_1448` `associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `div-exp_binary64_1493`
2×	`*-commutative_binary64_1373`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `unswap-sqr_binary64_1410`

Counts

3 → 83

Calls

6 calls:

13.0ms	(/.f64 (exp.f64 x) (.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
11.0ms	(.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
8.0ms	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0ms	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0ms	(/.f64 (exp.f64 x) (.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))

series162.0ms (0.2%)

Counts

3 → 18

Calls

3 calls:

82.0ms	(.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
52.0ms	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
29.0ms	(/.f64 (exp.f64 x) (.f64 (+.f64 (.f64 x 1/2) 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))

Compiler

Compiled 353 to 294 computations (16.7% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4931	2021
1	4931	2021

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
0.0b	(/.f64 (exp.f64 x) x)

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_1448` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-/r_binary64_1386` `add-cbrt-cube_binary64_1478` `associate-/l_binary64_1387`
2×	`add-exp-log_binary64_1480`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `pow1_binary64_1503` `div-exp_binary64_1493`

Counts

1 → 27

Calls

2 calls:

4.0ms	(/.f64 (exp.f64 x) x)
0.0ms	(/.f64 (exp.f64 x) x)

series23.0ms (0%)

Counts

1 → 4

Calls

1 calls:

23.0ms

(/.f64 (exp.f64 x) x)

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5105	344

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
0.0b	(+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 3)
0.2b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.3b	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
3.1b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite113.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

402×	`times-frac_binary64_1448`
386×	`add-sqr-sqrt_binary64_1464`
267×	`*-un-lft-identity_binary64_1442`
165×	`add-cube-cbrt_binary64_1477`
136×	`difference-of-squares_binary64_1411`
68×	`difference-of-sqr-1_binary64_1412`
57×	`associate-/r*_binary64_1386`
54×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
52×	`sqr-pow_binary64_1414`
19×	`associate-/l*_binary64_1387`
17×	`distribute-lft-out--_binary64_1394`
12×	`add-cbrt-cube_binary64_1478`
11×	`associate-/r/_binary64_1388`
9×	`add-exp-log_binary64_1480`
6×	`div-inv_binary64_1439` `add-log-exp_binary64_1481`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503`
4×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493` `pow-pow_binary64_1514`
3×	`cancel-sign-sub-inv_binary64_1408` `pow-unpow_binary64_1519` `exp-prod_binary64_1494`
2×	`associate-/l/_binary64_1389` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417` `frac-2neg_binary64_1453`
1×	`cube-mult_binary64_1472` `pow-exp_binary64_1510` `sub-neg_binary64_1435` `rem-cube-cbrt_binary64_1465` `diff-log_binary64_1534` `unpow3_binary64_1508` `div-sub_binary64_1447` `pow-to-exp_binary64_1511`

Counts

4 → 371

Calls

8 calls:

22.0ms	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
13.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms	(pow.f64 (exp.f64 x) 3)
0.0ms	(+.f64 (exp.f64 x) 1)

series302.0ms (0.3%)

Counts

4 → 16

Calls

4 calls:

126.0ms	(/.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1)))))
104.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
38.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
35.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 479 to 343 computations (28.4% saved)

simplify197.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5004	17529

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1)) (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x)))))
0.2b	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1))
0.3b	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x))))
3.2b	(+.f64 (sqrt.f64 (exp.f64 x)) -1)

rewrite103.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

151×	`add-sqr-sqrt_binary64_1464`
147×	`*-un-lft-identity_binary64_1442`
144×	`times-frac_binary64_1448`
105×	`sqrt-prod_binary64_1458`
80×	`add-cube-cbrt_binary64_1477`
42×	`associate-l_binary64_1383`
40×	`distribute-lft-out_binary64_1393`
36×	`associate-r_binary64_1382`
28×	`difference-of-sqr--1_binary64_1413`
20×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
12×	`associate-/l*_binary64_1387`
11×	`associate-/r*_binary64_1386`
9×	`unswap-sqr_binary64_1410`
8×	`associate-/r/_binary64_1388`
6×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`cbrt-unprod_binary64_1475` `div-inv_binary64_1439` `prod-exp_binary64_1491`
2×	`clear-num_binary64_1441` `frac-2neg_binary64_1453`
1×	`associate-r/_binary64_1384` `sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-times_binary64_1452` `associate-*l/_binary64_1385`

Counts

4 → 238

Calls

8 calls:

48.0ms	(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1)) (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x)))))
10.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1))
8.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x))))
5.0ms	(+.f64 (sqrt.f64 (exp.f64 x)) -1)
0.0ms	(sqrt.f64 (exp.f64 x))

series271.0ms (0.3%)

Counts

4 → 16

Calls

4 calls:

104.0ms	(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1)) (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x)))))
76.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (sqrt.f64 (exp.f64 x)) -1))
65.0ms	(/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (sqrt.f64 (exp.f64 x))))
25.0ms	(+.f64 (sqrt.f64 (exp.f64 x)) -1)

Compiler

Compiled 490 to 311 computations (36.5% saved)

simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5759	6211

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))
0.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))))
0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)

rewrite35.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_1464`
40×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
19×	`add-cube-cbrt_binary64_1477`
14×	`difference-of-squares_binary64_1411`
10×	`add-log-exp_binary64_1481`
9×	`cancel-sign-sub-inv_binary64_1408`
7×	`associate-/r*_binary64_1386` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
6×	`add-cbrt-cube_binary64_1478`
5×	`add-exp-log_binary64_1480`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `pow1_binary64_1503`
3×	`sub-neg_binary64_1435` `associate-/l*_binary64_1387` `diff-log_binary64_1534`
2×	`associate-/r/_binary64_1388`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 99

Calls

8 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)))) (cbrt.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))))

series103.0ms (0.1%)

Counts

4 → 13

Calls

4 calls:

49.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
19.0ms	(-.f64 (exp.f64 x) 1)
18.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 746 to 507 computations (32% saved)

simplify127.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4940	1480
1	4940	1480

prune37.8s (41.5%)

Pruning

631 alts after pruning (618 fresh and 13 done)

	Pruned	Kept	Total
New	589	296	885
Fresh	40	322	362
Picked	0	0	0
Done	2	13	15
Total	631	631	1262

Error

Counts

1262 → 631

Compiler

Compiled 14655 to 8264 computations (43.6% saved)

simplify777.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5344	48009

regimes5.5s (6%)

Compiler: Compiled 63215 to 40809 computations (35.4% saved)

bsearch0.0ms (0%)

regimes457.0ms (0.5%)

Compiler: Compiled 4830 to 3762 computations (22.1% saved)

bsearch0.0ms (0%)

regimes440.0ms (0.5%)

Compiler: Compiled 4604 to 3594 computations (21.9% saved)

bsearch0.0ms (0%)

regimes34.0ms (0%)

Compiler: Compiled 182 to 153 computations (15.9% saved)

bsearch0.0ms (0%)

regimes22.0ms (0%)

Compiler: Compiled 77 to 72 computations (6.5% saved)

bsearch0.0ms (0%)

regimes13.0ms (0%)

Compiler: Compiled 34 to 34 computations (0% saved)

bsearch0.0ms (0%)

regimes15.0ms (0%)

Compiler: Compiled 28 to 29 computations (-3.6% saved)

bsearch0.0ms (0%)

regimes17.0ms (0%)

Compiler: Compiled 18 to 21 computations (-16.7% saved)

bsearch15.0ms (0%)

Steps

Iters	Range		Point
10	-14.003272915636614	-6.159556090207261e-11	-2.0163078676391955

Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0%)

Compiler: Compiled 13 to 16 computations (-23.1% saved)

bsearch15.0ms (0%)

Steps

Iters	Range		Point
10	-14.003272915636614	-6.159556090207261e-11	-1.014316485804236

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch12.0ms (0%)

Steps

Iters	Range		Point
8	-13424.921785412373	-36.95822477273733	-354.84018584671594

Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0%)

Accuracy

Total 1.1b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch89.0ms (0.1%)

Steps

Iters	Range		Point
9	-4.355520612995706e-307	7.181986234384543e-305	5.60725183993995e-309

Compiler

Compiled 110 to 89 computations (19.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	162
1	62	162

end0.0ms (0%)

sample21.0s (23.1%)

Algorithm

1×

intervals

Results

367.0ms	2683×	body	1024	valid
99.0ms	1298×	body	512	valid
77.0ms	3091×	body	128	valid
47.0ms	291×	body	2048	valid
36.0ms	637×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 24378 to 15875 computations (34.9% saved)

Pareto

0.9668158693189135