Details

analyze658.0ms (1.2%)

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%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample51.0ms (0.1%)

Algorithm

1×

intervals

Results

26.0ms	97×	body	1024	valid
5.0ms	33×	body	512	valid
4.0ms	95×	body	128	valid
3.0ms	9×	body	2048	valid
3.0ms	22×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify168.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4840	8
1	4840	8

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 5 to 5 computations (0% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

3.2b	(-.f64 (exp.f64 x) 1)
3.1b	(-.f64 (exp.f64 (*.f64 2 x)) 1)
0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.1b	(-.f64 (exp.f64 (*.f64 2 x)) 1)
3.2b	(-.f64 (exp.f64 x) 1)

rewrite63.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`add-sqr-sqrt_binary64`
133×	`*-un-lft-identity_binary64`
99×	`times-frac_binary64`
64×	`difference-of-squares_binary64`
55×	`sqrt-prod_binary64`
37×	`add-cube-cbrt_binary64`
32×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
8×	`add-log-exp_binary64`
7×	`associate-/r_binary64` `associate-/l_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`associate-/r/_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sqrt-div_binary64`

Counts

4 → 183

Calls

8 calls:

12.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
10.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
6.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 2 x)) 1)
0.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

series159.0ms (0.3%)

Counts

4 → 14

Calls

4 calls:

72.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
49.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
23.0ms	(-.f64 (exp.f64 x) 1)
14.0ms	(-.f64 (exp.f64 (*.f64 2 x)) 1)

Compiler

Compiled 296 to 273 computations (7.8% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5075	4679

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series38.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

28.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
10.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 96 to 95 computations (1% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4925	357
1	4925	357

prune1.1s (2.1%)

Pruning

79 alts after pruning (77 fresh and 2 done)

	Pruned	Kept	Total
New	156	77	233
Fresh	0	0	0
Picked	0	0	0
Done	0	2	2
Total	156	79	235

Error

Counts

235 → 79

Compiler

Compiled 3628 to 2690 computations (25.9% saved)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series40.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

26.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
13.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 110 to 109 computations (0.9% saved)

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4925	357
1	4925	357

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

3.1b	(-.f64 (exp.f64 (*.f64 2 x)) 1)
0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))))
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
3.1b	(-.f64 (exp.f64 (*.f64 2 x)) 1)
3.2b	(-.f64 (exp.f64 x) 1)
3.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite47.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

129×	`add-sqr-sqrt_binary64`
106×	`*-un-lft-identity_binary64`
77×	`times-frac_binary64`
72×	`log-pow_binary64`
63×	`exp-prod_binary64`
46×	`difference-of-squares_binary64`
37×	`add-cube-cbrt_binary64`
23×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
13×	`pow1_binary64`
11×	`associate-/r*_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64`
7×	`log-prod_binary64` `associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`exp-sum_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 170

Calls

8 calls:

12.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 2 x)) 1)
0.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))

series220.0ms (0.4%)

Counts

4 → 13

Calls

4 calls:

120.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
71.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
15.0ms	(-.f64 (exp.f64 (*.f64 2 x)) 1)
13.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 320 to 295 computations (7.8% saved)

simplify111.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4946	3776
1	4946	3776

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) 1)))
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	(pow.f64 (exp.f64 x) 2)
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
3.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
3.2b	(-.f64 (sqrt.f64 (exp.f64 x)) 1)

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64`
55×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
28×	`difference-of-sqr--1_binary64`
25×	`distribute-lft-out_binary64`
23×	`add-cube-cbrt_binary64`
13×	`sqrt-prod_binary64`
10×	`unpow-prod-down_binary64`
8×	`add-log-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`pow-pow_binary64` `difference-of-squares_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `cancel-sign-sub-inv_binary64` `flip-+_binary64` `exp-prod_binary64`
2×	`associate-/l/_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 128

Calls

8 calls:

13.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
6.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
3.0ms	(pow.f64 (exp.f64 x) 2)
0.0ms	(sqrt.f64 (exp.f64 x))

series131.0ms (0.2%)

Counts

4 → 13

Calls

4 calls:

64.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
23.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
22.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
20.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 466 to 355 computations (23.8% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4998	2510
1	4998	2510

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1))))
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (cbrt.f64 (-.f64 (exp.f64 x) 1)))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (cbrt.f64 (-.f64 (exp.f64 x) 1)))))
3.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)
3.2b	(-.f64 (exp.f64 x) 1)

rewrite27.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-sqr--1_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 70

Calls

8 calls:

6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
0.0ms	(sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (exp.f64 x) 1)) (cbrt.f64 (-.f64 (exp.f64 x) 1)))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (cbrt.f64 (-.f64 (exp.f64 x) 1)))))

series78.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
16.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(-.f64 (exp.f64 x) 1)
15.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 648 to 508 computations (21.6% saved)

simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5069	781

prune6.0s (11%)

Pruning

180 alts after pruning (173 fresh and 7 done)

	Pruned	Kept	Total
New	321	121	442
Fresh	20	52	72
Picked	0	0	0
Done	0	7	7
Total	341	180	521

Error

Counts

521 → 180

Compiler

Compiled 9878 to 7040 computations (28.7% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))))

rewrite18.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
32×	`sqrt-prod_binary64`
29×	`times-frac_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
16×	`log-pow_binary64`
12×	`exp-prod_binary64`
8×	`distribute-lft-out_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
2×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-sqrt-square_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sqrt-div_binary64` `sum-log_binary64`

Counts

2 → 56

Calls

4 calls:

8.0ms	(sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))))
4.0ms	(+.f64 (exp.f64 x) 1)
0.0ms	(+.f64 (exp.f64 x) 1)
0.0ms	(sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))))

series72.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

60.0ms	(sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))))
12.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 124 to 123 computations (0.8% saved)

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5050	843

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 2))
0.0b	(sqrt.f64 (+.f64 x 2))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

1 → 16

Calls

2 calls:

3.0ms	(sqrt.f64 (+.f64 x 2))
0.0ms	(sqrt.f64 (+.f64 x 2))

series17.0ms (0%)

Counts

1 → 4

Calls

1 calls:

17.0ms

(sqrt.f64 (+.f64 x 2))

Compiler

Compiled 59 to 55 computations (6.8% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5037	171

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite65.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
20×	`add-exp-log_binary64` `difference-of-squares_binary64` `sqrt-prod_binary64`
15×	`add-cbrt-cube_binary64`
12×	`associate-*r/_binary64` `add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
11×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
10×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l/_binary64` `add-log-exp_binary64` `frac-times_binary64`
7×	`prod-exp_binary64`
6×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
5×	`div-exp_binary64`
4×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `associate-*l/_binary64`
3×	`cbrt-undiv_binary64`
2×	`diff-log_binary64` `1-exp_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 138

Calls

8 calls:

22.0ms	(/.f64 (.f64 1 (.f64 (+.f64 (exp.f64 x) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
15.0ms	(*.f64 (+.f64 (exp.f64 x) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
6.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
6.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
0.0ms	(sqrt.f64 (exp.f64 x))

series99.0ms (0.2%)

Counts

4 → 13

Calls

4 calls:

38.0ms	(*.f64 (+.f64 (exp.f64 x) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
27.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
21.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
12.0ms	(/.f64 (.f64 1 (.f64 (+.f64 (exp.f64 x) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))) (-.f64 (sqrt.f64 (exp.f64 x)) 1))

Compiler

Compiled 370 to 293 computations (20.8% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5286	2540

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

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	(exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1))
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
3.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
3.2b	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
3.7b	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
64×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
28×	`difference-of-sqr--1_binary64`
25×	`distribute-lft-out_binary64`
23×	`add-cube-cbrt_binary64`
17×	`sqrt-prod_binary64`
12×	`log-pow_binary64`
11×	`exp-prod_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
7×	`log-prod_binary64` `unpow2_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `associate-/r/_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 135

Calls

8 calls:

13.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
9.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))
6.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
0.0ms	(exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1))

series200.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))
64.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
25.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
22.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)

Compiler

Compiled 488 to 382 computations (21.7% saved)

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4996	2658
1	4996	2658

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 66

Calls

8 calls:

5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
3.0ms	(+.f64 -1 (fabs.f64 (exp.f64 x)))
0.0ms	(+.f64 1 (fabs.f64 (exp.f64 x)))

series72.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 -1 (fabs.f64 (exp.f64 x)))
17.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 720 to 507 computations (29.6% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4938	721
1	4938	721

prune11.0s (20.1%)

Pruning

266 alts after pruning (255 fresh and 11 done)

	Pruned	Kept	Total
New	341	119	460
Fresh	32	136	168
Picked	0	0	0
Done	1	11	12
Total	374	266	640

Error

Counts

640 → 266

Compiler

Compiled 13261 to 9138 computations (31.1% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
32×	`unpow-prod-down_binary64`
28×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-pow_binary64`
12×	`exp-prod_binary64`
8×	`distribute-lft-out_binary64`
7×	`pow1_binary64`
5×	`add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`add-cbrt-cube_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow1/2_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 60

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))) 1/2)
4.0ms	(+.f64 (exp.f64 x) 1)
0.0ms	(+.f64 (exp.f64 x) 1)
0.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))) 1/2)

series123.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

111.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (log.f64 (exp.f64 1))) 1/2)
12.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 120 to 120 computations (0% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5005	913

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
4×	`unpow-prod-down_binary64`
3×	`pow-unpow_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-exp-log_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64` `unpow1/2_binary64` `pow-exp_binary64`

Counts

1 → 19

Calls

2 calls:

7.0ms	(pow.f64 (+.f64 x 2) 1/2)
0.0ms	(pow.f64 (+.f64 x 2) 1/2)

series26.0ms (0%)

Counts

1 → 4

Calls

1 calls:

26.0ms

(pow.f64 (+.f64 x 2) 1/2)

Compiler

Compiled 71 to 68 computations (4.2% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4045	190
1	4045	190

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
0.0b	(sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(+.f64 1 (pow.f64 (exp.f64 x) 3))
0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.2b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite55.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

107×	`*-un-lft-identity_binary64`
76×	`sqrt-prod_binary64`
56×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
8×	`associate-/r*_binary64` `pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64` `associate-/l*_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `exp-prod_binary64`
4×	`difference-of-squares_binary64` `sqrt-div_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 155

Calls

8 calls:

18.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)
0.0ms	(+.f64 1 (pow.f64 (exp.f64 x) 3))

series229.0ms (0.4%)

Counts

4 → 16

Calls

4 calls:

150.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
31.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
28.0ms	(pow.f64 (exp.f64 x) 3)
20.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 496 to 407 computations (17.9% saved)

simplify107.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5002	4706

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

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	(exp.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1) 1))
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
3.1b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
3.2b	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
3.7b	(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1) 1)))

rewrite54.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
64×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
28×	`difference-of-sqr--1_binary64`
25×	`distribute-lft-out_binary64`
23×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`
17×	`sqrt-prod_binary64`
16×	`log-pow_binary64`
15×	`exp-prod_binary64`
8×	`add-log-exp_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
7×	`unpow2_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `cancel-sign-sub-inv_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 134

Calls

8 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
10.0ms	(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1) 1)))
6.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
0.0ms	(exp.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1) 1))

series209.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1) 1)))
72.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (sqrt.f64 (exp.f64 x))))
26.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
22.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)

Compiler

Compiled 524 to 418 computations (20.2% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4931	2671
1	4931	2671

localize22.0ms (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 (exp.f64 x) 1)
0.0b	(exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1))
0.6b	(/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1)))
3.2b	(+.f64 (exp.f64 x) -1)
3.2b	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
3.7b	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))

rewrite49.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64`
51×	`add-sqr-sqrt_binary64`
38×	`sqrt-prod_binary64`
32×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`
12×	`log-pow_binary64`
11×	`exp-prod_binary64`
8×	`associate-/r*_binary64` `add-log-exp_binary64` `difference-of-squares_binary64`
7×	`log-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow1_binary64`
4×	`difference-of-sqr-1_binary64` `exp-sum_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `associate-/r/_binary64` `sqrt-div_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 123

Calls

8 calls:

13.0ms	(/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1)))
8.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))
7.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
4.0ms	(+.f64 (exp.f64 x) -1)
0.0ms	(exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1))

series228.0ms (0.4%)

Counts

4 → 13

Calls

4 calls:

96.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (exp.f64 x)) 1)))
90.0ms	(/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1)))
25.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) 1)
18.0ms	(+.f64 (exp.f64 x) -1)

Compiler

Compiled 840 to 605 computations (28% saved)

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5825	2485

prune15.0s (27.4%)

Pruning

369 alts after pruning (354 fresh and 15 done)

	Pruned	Kept	Total
New	401	143	544
Fresh	39	211	250
Picked	0	0	0
Done	1	15	16
Total	441	369	810

Error

Counts

810 → 369

Compiler

Compiled 8585 to 5621 computations (34.5% saved)

simplify559.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5149	34283

regimes1.5s (2.7%)

Compiler: Compiled 14226 to 10591 computations (25.6% saved)

bsearch0.0ms (0%)

regimes22.0ms (0%)

Compiler: Compiled 29 to 34 computations (-17.2% saved)

bsearch22.0ms (0%)

Steps

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

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0%)

Compiler: Compiled 9 to 13 computations (-44.4% saved)

bsearch19.0ms (0%)

Steps

Iters	Range		Point
10	-14.003272915636614	-6.159556090207261e-11	-0.7863054766764821

Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0%)

Accuracy

Total 0.0b remaining (32.9%)

Threshold costs 0.0b (32.9%)

Compiler

Compiled 7 to 10 computations (-42.9% saved)

bsearch3.0ms (0%)

Compiler: Compiled 22 to 22 computations (0% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	32
1	20	32

end0.0ms (0%)

sample14.5s (26.7%)

Algorithm

1×

intervals

Results

767.0ms	2711×	body	1024	valid
205.0ms	1310×	body	512	valid
135.0ms	3056×	body	128	valid
102.0ms	295×	body	2048	valid
61.0ms	628×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 14303 to 10668 computations (25.4% saved)

Pareto

0.4546747652551598