Details

analyze2.0s (7.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	68.7%	0.1%	7
34.3%	65.6%	0.1%	8
37.5%	59.3%	3.2%	9
42.9%	53.5%	3.6%	10
44.5%	50%	5.6%	11
47.8%	45.8%	6.4%	12
48.7%	43.7%	7.6%	13
50.5%	41.3%	8.2%	14

Compiler

Compiled 128 to 81 computations (36.7% saved)

sample145.0ms (0.5%)

Algorithm

1×

intervals

Results

52.0ms	219×	body	128	invalid
47.0ms	220×	body	128	valid
13.0ms	20×	body	512	valid
10.0ms	12×	body	1024	valid
2.0ms	4×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify210.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5136	157

prune20.0ms (0.1%)

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

Merged error: 0.5b

Counts

2 → 2

Compiler

Compiled 337 to 210 computations (37.7% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
1.2b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))

rewrite246.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64` `frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-*l/_binary64`
6×	`pow1_binary64`
5×	`difference-of-squares_binary64`
4×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64`
3×	`associate-r_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

75.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
51.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
45.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
21.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.5s (5.4%)

Counts

4 → 12

Calls

4 calls:

741.0ms	(+.f64 (.f64 3 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (.f64 x1 (.f64 x1 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)))))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (*.f64 x1 x1) -6)) x1)))
439.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
224.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)))
103.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify182.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5275	23741

prune1.6s (5.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	114	11	125
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	11	127

Merged error: 0.0b

Counts

127 → 11

Compiler

Compiled 24588 to 14553 computations (40.8% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))
0.6b	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))
1.2b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
8.2b	(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))) (.f64 (cbrt.f64 (+.f64 (.f64 x1 x1) 1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (/.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (*.f64 x1 x1) -6))

rewrite147.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`cbrt-prod_binary64`
8×	`add-log-exp_binary64`
6×	`add-cube-cbrt_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `times-frac_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

82.0ms	(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))) (.f64 (cbrt.f64 (+.f64 (.f64 x1 x1) 1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (/.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (*.f64 x1 x1) -6))
21.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
13.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))
9.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))

series959.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

479.0ms	(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))) (.f64 (cbrt.f64 (+.f64 (.f64 x1 x1) 1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1)))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (/.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1)) (cbrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (*.f64 x1 x1) -6))
199.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))
190.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (*.f64 2 x2)) x1))
91.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	3005
1	4964	3005

prune603.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

Compiler

Compiled 12132 to 7480 computations (38.3% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
4.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
4.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))

rewrite203.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-log-exp_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `associate-+l+_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`

Counts

4 → 54

Calls

4 calls:

51.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
47.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
45.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
21.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.3s (4.6%)

Counts

4 → 12

Calls

4 calls:

409.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
407.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
392.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4))) (.f64 (.f64 x1 x1) -6))
89.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4975	4549
1	4975	4549

prune1.3s (4.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

Compiler

Compiled 23304 to 13990 computations (40% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
4.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
4.6b	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))
5.0b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))

rewrite248.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
60×	`add-sqr-sqrt_binary64`
36×	`associate-l_binary64`
29×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`frac-times_binary64`
15×	`flip3-+_binary64` `difference-of-squares_binary64` `flip-+_binary64`
14×	`distribute-lft-out--_binary64`
12×	`associate-*r/_binary64`
11×	`sum-cubes_binary64` `cube-mult_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-/l_binary64` `associate-l/_binary64`
4×	`associate-+l+_binary64` `associate-/r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `div-sub_binary64` `div-inv_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

72.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
66.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
21.0ms	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))

series1.5s (5.2%)

Counts

4 → 12

Calls

4 calls:

1.1s	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1))))) (.f64 (.f64 x1 x1) -6))
266.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3))) (.f64 (+.f64 (.f64 (+.f64 x1 x1) (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 (.f64 x1 x1) 4)) (+.f64 (pow.f64 x1 4) (-.f64 1 (.f64 x1 x1)))))
97.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
52.0ms	(/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (pow.f64 (.f64 x1 x1) 3) (pow.f64 1 3)))

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5052	12754

prune1.6s (5.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	176	11	187

Merged error: 0.0b

Counts

187 → 11

Compiler

Compiled 24120 to 14735 computations (38.9% saved)

regimes3.1s (11.1%)

Compiler: Compiled 69076 to 42028 computations (39.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	157
1	99	157

end0.0ms (0%)

sample10.8s (38.4%)

Algorithm

1×

intervals

Results

1.5s	7033×	body	128	valid
1.2s	5937×	body	128	invalid
272.0ms	323×	body	1024	valid
242.0ms	387×	body	512	valid
106.0ms	257×	body	256	valid

Compiler

Compiled 17436 to 10611 computations (39.1% saved)

Details

analyze2.0s (7.1%)

sample145.0ms (0.5%)

simplify210.0ms (0.7%)

prune20.0ms (0.1%)

localize38.0ms (0.1%)

rewrite246.0ms (0.9%)

series1.5s (5.4%)

simplify182.0ms (0.6%)

prune1.6s (5.9%)

localize50.0ms (0.2%)

rewrite147.0ms (0.5%)

series959.0ms (3.4%)

simplify74.0ms (0.3%)

prune603.0ms (2.1%)

localize61.0ms (0.2%)

rewrite203.0ms (0.7%)

series1.3s (4.6%)

simplify78.0ms (0.3%)

prune1.3s (4.5%)

localize45.0ms (0.2%)

rewrite248.0ms (0.9%)

series1.5s (5.2%)

simplify111.0ms (0.4%)

prune1.6s (5.7%)

regimes3.1s (11.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.8s (38.4%)

Profiling