Details

analyze2.0s (7.9%)

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)

sample133.0ms (0.5%)

Algorithm

1×

intervals

Results

48.0ms	223×	body	128	valid
45.0ms	201×	body	128	invalid
11.0ms	17×	body	512	valid
5.0ms	6×	body	1024	valid
4.0ms	10×	body	256	valid

Compiler

Compiled 255 to 163 computations (36.1% saved)

simplify215.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5145	157

prune28.0ms (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 569 to 355 computations (37.6% saved)

localize38.0ms (0.2%)

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)
2.4b	(+.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))
4.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite165.0ms (0.7%)

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:

52.0ms	(.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)))
46.0ms	(+.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))
28.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
7.0ms	(.f64 (.f64 x1 x1) -6)

series781.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

415.0ms	(+.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))
220.0ms	(.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)))
111.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
35.0ms	(.f64 (.f64 x1 x1) -6)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4994	5732
1	4994	5732

prune2.4s (9.4%)

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

Merged error: 0.4b

Counts

110 → 10

Compiler

Compiled 64473 to 40695 computations (36.9% saved)

localize40.0ms (0.2%)

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 x1 (*.f64 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)))
2.4b	(+.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 x1 (.f64 x1 -6)))
4.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite252.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`associate-*r/_binary64`
32×	`frac-add_binary64`
31×	`flip3-+_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
23×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`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` `cancel-sign-sub-inv_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 → 116

Calls

4 calls:

72.0ms	(+.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 x1 (*.f64 x1 -6))) x1)))
50.0ms	(.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)))
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 x1 (.f64 x1 -6)))
23.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.5s (5.9%)

Counts

4 → 12

Calls

4 calls:

752.0ms	(+.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 x1 (*.f64 x1 -6))) x1)))
414.0ms	(+.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 x1 (.f64 x1 -6)))
221.0ms	(.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)))
98.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5406	23744

prune4.1s (16.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	123	15	138

Merged error: 0.1b

Counts

138 → 15

Compiler

Compiled 112997 to 69817 computations (38.2% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.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 x1) 1)) (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))))) (.f64 x1 (+.f64 (*.f64 x1 x1) 1)))
0.2b	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)))
2.4b	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6)))
4.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite305.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`associate-*r/_binary64`
116×	`frac-add_binary64`
85×	`flip3-+_binary64` `flip-+_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`frac-times_binary64`
23×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-log-exp_binary64` `associate-*l/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `sum-log_binary64`
3×	`associate-r_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_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 → 144

Calls

4 calls:

59.0ms	(+.f64 (+.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 x1) 1)) (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))))) (.f64 x1 (+.f64 (*.f64 x1 x1) 1)))
53.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6)))
49.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)))
22.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

series1.5s (5.9%)

Counts

4 → 12

Calls

4 calls:

754.0ms	(+.f64 (+.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 x1) 1)) (+.f64 (.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6))))) (.f64 x1 (+.f64 (*.f64 x1 x1) 1)))
411.0ms	(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4))) (.f64 x1 (.f64 x1 -6)))
222.0ms	(.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.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)) 3) (+.f64 x1 x1)) (.f64 (.f64 x1 x1) 4)))
97.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

simplify371.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4946	52029
1	4946	52029

prune3.7s (14.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	156	15	171

Merged error: 0.1b

Counts

171 → 15

Compiler

Compiled 51091 to 30804 computations (39.7% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x1 x1) -6)
0.2b	(.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))
2.4b	(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (.f64 x1 x1) -6))
4.8b	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)

rewrite178.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
39×	`associate-r_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`sqrt-prod_binary64`
14×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-prod-down_binary64`
5×	`associate-*r/_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `associate-l_binary64` `div-exp_binary64` `frac-times_binary64` `sqrt-div_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 108

Calls

4 calls:

61.0ms	(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (.f64 x1 x1) -6))
52.0ms	(.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))
23.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
7.0ms	(.f64 (.f64 x1 x1) -6)

series796.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

437.0ms	(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x1 x1) 1))) (.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))) (.f64 (.f64 x1 x1) -6))
223.0ms	(.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 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (sqrt.f64 (+.f64 (.f64 x1 x1) 1))))
103.0ms	(-.f64 (/.f64 (-.f64 (+.f64 (.f64 x1 (.f64 x1 3)) (.f64 2 x2)) x1) (+.f64 (.f64 x1 x1) 1)) 3)
33.0ms	(.f64 (.f64 x1 x1) -6)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5006	6626

prune917.0ms (3.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	120	15	135

Merged error: 0.1b

Counts

135 → 15

Compiler

Compiled 15057 to 9453 computations (37.2% saved)

regimes441.0ms (1.8%)

Compiler: Compiled 8542 to 5347 computations (37.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	102	166
1	102	166

end0.0ms (0%)

sample4.9s (19.5%)

Algorithm

1×

intervals

Results

1.5s	7044×	body	128	valid
1.2s	5877×	body	128	invalid
270.0ms	427×	body	512	valid
222.0ms	264×	body	1024	valid
109.0ms	265×	body	256	valid

Compiler

Compiled 3083 to 1929 computations (37.4% saved)

Details

analyze2.0s (7.9%)

sample133.0ms (0.5%)

simplify215.0ms (0.9%)

prune28.0ms (0.1%)

localize38.0ms (0.2%)

rewrite165.0ms (0.7%)

series781.0ms (3.1%)

simplify96.0ms (0.4%)

prune2.4s (9.4%)

localize40.0ms (0.2%)

rewrite252.0ms (1%)

series1.5s (5.9%)

simplify174.0ms (0.7%)

prune4.1s (16.4%)

localize41.0ms (0.2%)

rewrite305.0ms (1.2%)

series1.5s (5.9%)

simplify371.0ms (1.5%)

prune3.7s (14.6%)

localize44.0ms (0.2%)

rewrite178.0ms (0.7%)

series796.0ms (3.2%)

simplify100.0ms (0.4%)

prune917.0ms (3.7%)

regimes441.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.9s (19.5%)

Profiling