Details

analyze2.1s (1.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5931	314
0	2	2
1	2	2

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)

sample135.0ms (0.1%)

Algorithm

1×

intervals

Results

45.0ms	224×	body	128	valid
43.0ms	217×	body	128	invalid
12.0ms	10×	body	1024	valid
10.0ms	17×	body	512	valid
2.0ms	5×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify54.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5174	157

prune14.0ms (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

0.4b

Counts

2 → 2

Compiler

Compiled 337 to 210 computations (37.7% saved)

localize43.0ms (0%)

Local error

Found 4 expressions with local error:

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)))
0.2b	(.f64 (.f64 x1 x1) -6)
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.7b	(+.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))

rewrite144.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

48.0ms	(.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)))
44.0ms	(+.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))
20.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.0ms	(.f64 (.f64 x1 x1) -6)

series421.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(+.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))
112.0ms	(.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)))
48.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
18.0ms	(.f64 (.f64 x1 x1) -6)

simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4924	5732
1	4924	5732

prune764.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	100	10	110

Error

0.4b

Counts

110 → 10

Compiler

Compiled 14132 to 8628 computations (38.9% saved)

localize40.0ms (0%)

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 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
0.2b	(.f64 (.f64 x1 x1) -6)
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

rewrite170.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`associate-*r/_binary64`
32×	`frac-add_binary64`
28×	`flip3-+_binary64` `flip-+_binary64`
12×	`add-sqr-sqrt_binary64` `frac-times_binary64`
10×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64`
2×	`associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `associate-l_binary64` `unswap-sqr_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

67.0ms	(+.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 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
38.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
20.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.0ms	(.f64 (.f64 x1 x1) -6)

series733.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

434.0ms	(+.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 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (*.f64 x1 x1) -6)) x1)))
234.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) 2) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
48.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
17.0ms	(.f64 (.f64 x1 x1) -6)

simplify163.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5299	19677

prune1.1s (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	98	11	109

Error

0.1b

Counts

109 → 11

Compiler

Compiled 20436 to 12726 computations (37.7% saved)

localize56.0ms (0%)

Local error

Found 4 expressions with local error:

2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
3.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
3.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))

rewrite179.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-log-exp_binary64`
10×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `cancel-sign-sub-inv_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 → 51

Calls

4 calls:

41.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
40.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
39.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
20.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series716.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
221.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
215.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
51.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4952	4330
1	4952	4330

prune1.2s (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	63	11	74

Error

0.1b

Counts

74 → 11

Compiler

Compiled 22026 to 13752 computations (37.6% saved)

localize49.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
2.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
3.7b	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
7.8b	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (.f64 x1 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))))) (.f64 3 (+.f64 (.f64 x1 x1) -1))) (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (.f64 x1 x1) 1)) (.f64 (+.f64 x1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))) (+.f64 (pow.f64 x1 4) -1)))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (pow.f64 x1 4) -1)))

rewrite7.5s (5%)

Algorithm

1×	rewrite-expression-head

Rules

14516×	`frac-times_binary64`
13450×	`associate-*r/_binary64`
10784×	`flip3-+_binary64` `flip-+_binary64`
7840×	`frac-add_binary64`
4962×	`associate-/l/_binary64`
4810×	`associate-*l/_binary64`
2881×	`flip3--_binary64` `flip--_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-/r/_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate-l_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 5039

Calls

4 calls:

549.0ms	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (.f64 x1 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))))) (.f64 3 (+.f64 (.f64 x1 x1) -1))) (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (.f64 x1 x1) 1)) (.f64 (+.f64 x1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))) (+.f64 (pow.f64 x1 4) -1)))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (pow.f64 x1 4) -1)))
38.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
30.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
6.0ms	(.f64 (.f64 x1 x1) -6)

series1.8s (1.2%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (-.f64 (-.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (.f64 x1 (.f64 x1 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1))))) (.f64 3 (+.f64 (.f64 x1 x1) -1))) (.f64 (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (.f64 x1 x1) 1)) (.f64 (+.f64 x1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))) (+.f64 (pow.f64 x1 4) -1)))) (.f64 (+.f64 (.f64 x1 x1) 1) (+.f64 (pow.f64 x1 4) -1)))
236.0ms	(+.f64 (.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (/.f64 (.f64 x1 (+.f64 (.f64 2 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)) (.f64 x1 4))) (+.f64 (.f64 x1 x1) 1))) (.f64 (.f64 x1 x1) -6))
47.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
17.0ms	(.f64 (.f64 x1 x1) -6)

simplify8.7s (5.8%)

Algorithm

1×	egg-herbie

Counts

5051 → 5051

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	8051	1237126

Details

analyze2.1s (1.4%)

sample135.0ms (0.1%)

simplify54.0ms (0%)

prune14.0ms (0%)

localize43.0ms (0%)

rewrite144.0ms (0.1%)

series421.0ms (0.3%)

simplify119.0ms (0.1%)

prune764.0ms (0.5%)

localize40.0ms (0%)

rewrite170.0ms (0.1%)

series733.0ms (0.5%)

simplify163.0ms (0.1%)

prune1.1s (0.7%)

localize56.0ms (0%)

rewrite179.0ms (0.1%)

series716.0ms (0.5%)

simplify79.0ms (0.1%)

prune1.2s (0.8%)

localize49.0ms (0%)

rewrite7.5s (5%)

series1.8s (1.2%)

simplify8.7s (5.8%)

prune2.1min (82.5%)

Profiling