Details

analyze143.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample45.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	45×	body	2048	valid
8.0ms	49×	body	1024	valid
3.0ms	108×	body	128	valid
3.0ms	32×	body	512	valid
1.0ms	22×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

467×	`cancel-sign-sub-inv_binary64`
455×	`*-commutative_binary64`
440×	`unswap-sqr_binary64`
344×	`associate-l_binary64`
274×	`associate-+l+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	9
2	22	9
3	33	9
4	65	9
5	149	9
6	403	9
7	1433	9
8	3314	9
9	4997	9
10	4875	9

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	29.1b	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.8b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

7×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 319 to 145 computations (54.5% saved)

series41.0ms (0.9%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

17.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
13.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 546 to 409 computations (25.1% saved)

simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
421×	`*-commutative_binary64`
330×	`unswap-sqr_binary64`
222×	`distribute-rgt-out_binary64`

Counts

52 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	731
1	141	706
2	345	676
3	1109	658
4	2265	652
5	3861	652
6	4572	652
7	4869	652

prune15.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.1b

Counts

24 → 3

Alt Table

Status	Error	Program
✓	29.1b	(-.f64 (exp.f64 (*.f64 a x)) 1)
	29.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
▶	23.0b	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))

Compiler

Compiled 275 to 158 computations (42.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 4)
0.2b	(pow.f64 (*.f64 a x) 3)
3.6b	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
10.2b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))

rewrite121.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-log-exp_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`sum-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `pow-unpow_binary64`

Counts

4 → 66

Calls

4 calls:

10.0ms	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
9.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))
5.0ms	(pow.f64 (*.f64 a x) 4)
4.0ms	(pow.f64 (*.f64 a x) 3)

Compiler

Compiled 2367 to 1382 computations (41.6% saved)

series148.0ms (3.4%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

47.0ms	(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
42.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))
22.0ms	(pow.f64 (*.f64 a x) 3)
22.0ms	(pow.f64 (*.f64 a x) 4)

Compiler

Compiled 1944 to 1412 computations (27.4% saved)

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

695×	`distribute-rgt-in_binary64`
642×	`distribute-lft-in_binary64`
379×	`cancel-sign-sub-inv_binary64`
204×	`distribute-rgt-neg-in_binary64`
197×	`distribute-lft-neg-in_binary64`

Counts

112 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	2665
1	330	2482
2	1336	2327
3	5225	2327

prune56.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	5	92

Error

0.1b

Counts

92 → 5

Alt Table

Status	Error	Program
▶	23.0b	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
	50.8b	(/.f64 (+.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 3)) (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))))
	23.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x))))
✓	29.1b	(-.f64 (exp.f64 (*.f64 a x)) 1)
	29.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))

Compiler

Compiled 1626 to 927 computations (43% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 2)
0.2b	(pow.f64 (*.f64 a x) 4)
0.2b	(pow.f64 (*.f64 a x) 3)
10.2b	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))

rewrite138.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-log-exp_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`*-un-lft-identity_binary64` `pow-unpow_binary64`
8×	`sum-log_binary64`
7×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 78

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
3.0ms	(pow.f64 (*.f64 a x) 3)
3.0ms	(pow.f64 (*.f64 a x) 2)
3.0ms	(pow.f64 (*.f64 a x) 4)

Compiler

Compiled 2947 to 1701 computations (42.3% saved)

series124.0ms (2.8%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

47.0ms	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
24.0ms	(pow.f64 (*.f64 a x) 4)
22.0ms	(pow.f64 (*.f64 a x) 3)
20.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 1919 to 1362 computations (29% saved)

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-rgt-in_binary64`
375×	`cancel-sign-sub-inv_binary64`
222×	`distribute-rgt-neg-in_binary64`
213×	`unswap-sqr_binary64`
212×	`associate-r_binary64`

Counts

120 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2902
1	476	2671
2	1999	2537
3	5778	2537

prune62.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Error

0.1b

Counts

97 → 6

Alt Table

Status	Error	Program
✓	23.0b	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
	50.8b	(/.f64 (+.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 3)) (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))))
▶	23.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x))))
✓	29.1b	(-.f64 (exp.f64 (*.f64 a x)) 1)
	50.8b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3))) 3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 3)) (+.f64 (.f64 (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (-.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3)))))))
	29.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))

Compiler

Compiled 1956 to 1121 computations (42.7% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

10.2b	(+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
16.4b	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
16.4b	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
16.4b	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))

rewrite175.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `cbrt-div_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow1/3_binary64`

Counts

4 → 52

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
10.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
10.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
9.0ms	(+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

Compiler

Compiled 5537 to 3097 computations (44.1% saved)

series372.0ms (8.5%)

Error

0.1b

Counts

4 → 58

Calls

4 calls:

82.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
79.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
77.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x)))
58.0ms	(+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

Compiler

Compiled 10186 to 6506 computations (36.1% saved)

simplify201.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

442×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
353×	`exp-prod_binary64`
303×	`cancel-sign-sub-inv_binary64`
163×	`associate-r_binary64`

Counts

110 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	5491
1	417	5422
2	1439	4816
3	4604	4708
4	4997	4708
5	4977	4708

prune162.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Error

0.1b

Counts

101 → 6

Alt Table

Status	Error	Program
	23.0b	(+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a x)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
	23.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 a x)) 1) (.f64 (cbrt.f64 a) (cbrt.f64 x))) (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 x)) (+.f64 (.f64 1/36 (pow.f64 (.f64 a x) 2)) (.f64 1/324 (pow.f64 (.f64 a x) 3)))))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))))
	23.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (*.f64 a x))))
	29.1b	(-.f64 (exp.f64 (*.f64 a x)) 1)
	48.7b	(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x))) (cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 a x)))) (log.f64 (exp.f64 (cbrt.f64 (+.f64 (.f64 a x) (+.f64 (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x)))) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))))))
	29.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))

Compiler

Compiled 6723 to 3852 computations (42.7% saved)

regimes760.0ms (17.4%)

Accuracy

Total 0.3b remaining (88.2%)

Threshold costs 0.3b (88.2%)

Compiler

Compiled 15306 to 9146 computations (40.2% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	63
1	40	63
2	41	63
3	39	63

end9.0ms (0.2%)

Remove: (sort a x)
Compiler: Compiled 132 to 81 computations (38.6% saved)

sample1.4s (31.2%)

Algorithm

1×

intervals

Results

425.0ms	1459×	body	2048	valid
250.0ms	1815×	body	1024	valid
96.0ms	1124×	body	512	valid
69.0ms	3013×	body	128	valid
29.0ms	589×	body	256	valid
3.0ms	140×	body	128	invalid

Compiler

Compiled 360 to 217 computations (39.7% saved)

Details

analyze143.0ms (3.3%)

sample45.0ms (1%)

simplify62.0ms (1.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite40.0ms (0.9%)

series41.0ms (0.9%)

simplify94.0ms (2.2%)

prune15.0ms (0.3%)

localize17.0ms (0.4%)

rewrite121.0ms (2.8%)

series148.0ms (3.4%)

simplify75.0ms (1.7%)

prune56.0ms (1.3%)

localize13.0ms (0.3%)

rewrite138.0ms (3.2%)

series124.0ms (2.8%)

simplify92.0ms (2.1%)

prune62.0ms (1.4%)

localize27.0ms (0.6%)

rewrite175.0ms (4%)

series372.0ms (8.5%)

simplify201.0ms (4.6%)

prune162.0ms (3.7%)

regimes760.0ms (17.4%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end9.0ms (0.2%)

sample1.4s (31.2%)

Profiling