Details

analyze235.0ms (0.2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify167.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune5.0ms (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 7 to 5 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`neg-mul-1_binary64`
5×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 95

Calls

2 calls:

12.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

series104.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

104.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 321 to 297 computations (7.5% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5846	2433

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

2 calls:

8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series82.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

82.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 321 to 297 computations (7.5% saved)

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5135	1147

prune785.0ms (0.8%)

Pruning

78 alts after pruning (76 fresh and 2 done)

	Pruned	Kept	Total
New	112	76	188
Fresh	0	0	0
Picked	0	0	0
Done	0	2	2
Total	112	78	190

Error

Counts

190 → 78

Compiler

Compiled 3030 to 1083 computations (64.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`neg-mul-1_binary64`
5×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 95

Calls

2 calls:

10.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

series92.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

92.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 369 to 345 computations (6.5% saved)

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5846	2433

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (/.f64 f n))
0.0b	(*.f64 2 (/.f64 f n))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

2 calls:

7.0ms	(*.f64 2 (/.f64 f n))
0.0ms	(*.f64 2 (/.f64 f n))

series58.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

58.0ms

(*.f64 2 (/.f64 f n))

Compiler

Compiled 84 to 84 computations (0% saved)

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4974	369
1	4974	369

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.1b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.1b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite48.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

6 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

series296.0ms (0.3%)

Counts

3 → 72

Calls

3 calls:

119.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
91.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
86.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 1086 to 1014 computations (6.6% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5200	4935

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

8.7b	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
2.9b	(-.f64 (pow.f64 n 3) (pow.f64 f 3))
2.4b	(+.f64 (.f64 f f) (.f64 n f))
1.4b	(+.f64 (.f64 n n) (+.f64 (.f64 f f) (*.f64 n f)))
2.4b	(+.f64 (.f64 f f) (.f64 n f))
2.9b	(-.f64 (pow.f64 n 3) (pow.f64 f 3))
8.7b	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
31.9b	(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (.f64 n f))))

rewrite132.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

314×	`add-sqr-sqrt_binary64`
271×	`*-un-lft-identity_binary64`
201×	`times-frac_binary64`
160×	`difference-of-squares_binary64`
123×	`unpow-prod-down_binary64` `cube-prod_binary64`
106×	`associate-l_binary64`
81×	`sqr-pow_binary64`
69×	`add-cube-cbrt_binary64`
51×	`distribute-lft-out_binary64`
50×	`distribute-lft-out--_binary64`
25×	`associate-/r*_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-cubes_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `flip-+_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `unpow3_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64` `cube-mult_binary64`

Counts

4 → 333

Calls

8 calls:

40.0ms	(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (.f64 n f))))
23.0ms	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
13.0ms	(-.f64 (pow.f64 n 3) (pow.f64 f 3))
4.0ms	(+.f64 (.f64 f f) (.f64 n f))
0.0ms	(+.f64 (.f64 n n) (+.f64 (.f64 f f) (*.f64 n f)))

series492.0ms (0.5%)

Counts

4 → 72

Calls

4 calls:

148.0ms	(-.f64 (pow.f64 n 3) (pow.f64 f 3))
130.0ms	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
130.0ms	(.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (.f64 n f))))
84.0ms	(+.f64 (.f64 f f) (.f64 n f))

Compiler

Compiled 1776 to 1305 computations (26.5% saved)

simplify135.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5018	10937

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (-.f64 n f))
0.0b	(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (-.f64 n f))
0.0b	(sqrt.f64 (-.f64 n f))
0.0b	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
0.0b	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))

rewrite50.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`sqrt-prod_binary64`
146×	`*-un-lft-identity_binary64`
112×	`add-sqr-sqrt_binary64` `times-frac_binary64`
74×	`add-cube-cbrt_binary64`
18×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
16×	`associate-/r*_binary64`
14×	`associate-/l*_binary64`
12×	`sqrt-div_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 210

Calls

8 calls:

10.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
10.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
3.0ms	(sqrt.f64 (-.f64 n f))
3.0ms	(sqrt.f64 (-.f64 n f))
0.0ms	(sqrt.f64 (+.f64 f n))

series190.0ms (0.2%)

Counts

4 → 34

Calls

4 calls:

65.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
58.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
34.0ms	(sqrt.f64 (-.f64 n f))
33.0ms	(sqrt.f64 (-.f64 n f))

Compiler

Compiled 1194 to 842 computations (29.5% saved)

simplify126.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4888	5016
1	4888	5016

prune15.4s (14.9%)

Pruning

391 alts after pruning (384 fresh and 7 done)

	Pruned	Kept	Total
New	746	317	1063
Fresh	4	67	71
Picked	0	0	0
Done	0	7	7
Total	750	391	1141

Error

Counts

1141 → 391

Compiler

Compiled 23105 to 9855 computations (57.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`neg-mul-1_binary64`
5×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 95

Calls

2 calls:

10.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

series95.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

94.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 417 to 393 computations (5.8% saved)

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5846	2433

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 -1 (*.f64 2 (/.f64 n f)))
0.0b	(-.f64 -1 (*.f64 2 (/.f64 n f)))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 12

Calls

2 calls:

3.0ms	(-.f64 -1 (*.f64 2 (/.f64 n f)))
0.0ms	(-.f64 -1 (*.f64 2 (/.f64 n f)))

series82.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

82.0ms

(-.f64 -1 (*.f64 2 (/.f64 n f)))

Compiler

Compiled 114 to 120 computations (-5.3% saved)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4885	267
1	4885	267

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

3.3b	(log.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
3.3b	(log.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
111×	`add-sqr-sqrt_binary64`
66×	`log-prod_binary64`
61×	`add-cube-cbrt_binary64`
44×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
22×	`distribute-lft-out_binary64`
12×	`associate-/l*_binary64`
11×	`neg-mul-1_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `distribute-neg-frac_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `distribute-frac-neg_binary64` `flip-+_binary64`

Counts

2 → 172

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
10.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(log.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))

series276.0ms (0.3%)

Counts

2 → 30

Calls

2 calls:

201.0ms	(log.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
75.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 645 to 603 computations (6.5% saved)

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4926	4506
1	4926	4506

localize24.0ms (0%)

Local error

Found 8 expressions with local error:

1.7b	(.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2))))
1.4b	(+.f64 (.f64 n n) (.f64 f (+.f64 f n)))
0.4b	(/.f64 1 (+.f64 (pow.f64 n (/.f64 3 2)) (pow.f64 f (/.f64 3 2))))
0.0b	(*.f64 f (+.f64 f n))
1.4b	(+.f64 (.f64 n n) (.f64 f (+.f64 f n)))
1.7b	(.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2))))
5.8b	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))
5.9b	(.f64 (/.f64 1 (+.f64 (pow.f64 n (/.f64 3 2)) (pow.f64 f (/.f64 3 2)))) (.f64 (+.f64 (.f64 n n) (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))))

rewrite132.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`add-sqr-sqrt_binary64`
159×	`*-un-lft-identity_binary64`
128×	`times-frac_binary64`
81×	`difference-of-squares_binary64`
78×	`unpow-prod-down_binary64`
63×	`associate-r_binary64`
54×	`sqr-pow_binary64`
53×	`add-cube-cbrt_binary64`
50×	`add-exp-log_binary64`
35×	`distribute-lft-out_binary64`
32×	`add-cbrt-cube_binary64`
24×	`associate-l_binary64`
22×	`prod-exp_binary64`
18×	`distribute-lft-out--_binary64`
14×	`associate-/r*_binary64`
12×	`cbrt-unprod_binary64` `div-exp_binary64`
11×	`pow1_binary64` `frac-times_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-*r/_binary64`
7×	`cbrt-undiv_binary64` `associate-*l/_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
4×	`pow-prod-down_binary64` `associate-/l*_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 249

Calls

8 calls:

34.0ms	(.f64 (/.f64 1 (+.f64 (pow.f64 n (/.f64 3 2)) (pow.f64 f (/.f64 3 2)))) (.f64 (+.f64 (.f64 n n) (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))))
30.0ms	(.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2))))
16.0ms	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))
5.0ms	(+.f64 (.f64 n n) (.f64 f (+.f64 f n)))
0.0ms	(*.f64 f (+.f64 f n))

series978.0ms (1%)

Counts

4 → 52

Calls

4 calls:

372.0ms	(/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))
273.0ms	(.f64 (/.f64 1 (+.f64 (pow.f64 n (/.f64 3 2)) (pow.f64 f (/.f64 3 2)))) (.f64 (+.f64 (.f64 n n) (.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2)))))
172.0ms	(.f64 (+.f64 (.f64 n n) (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3/2) (pow.f64 f 3/2))))
161.0ms	(+.f64 (.f64 n n) (.f64 f (+.f64 f n)))

Compiler

Compiled 3038 to 2460 computations (19% saved)

simplify128.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5017	9689

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (-.f64 n f))
0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))))
0.0b	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
0.1b	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
0.1b	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
0.2b	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))

rewrite67.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

198×	`sqrt-prod_binary64`
124×	`add-sqr-sqrt_binary64`
106×	`*-un-lft-identity_binary64`
56×	`times-frac_binary64`
54×	`add-cube-cbrt_binary64`
40×	`sqrt-pow1_binary64`
36×	`sqrt-div_binary64`
31×	`pow1_binary64`
20×	`pow1/2_binary64`
19×	`swap-sqr_binary64`
16×	`distribute-lft-out--_binary64`
14×	`difference-of-squares_binary64`
12×	`rem-sqrt-square_binary64`
11×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `distribute-lft-out_binary64` `pow-prod-up_binary64` `unswap-sqr_binary64` `flip--_binary64`
8×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
5×	`pow-prod-down_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `sqr-abs_binary64` `frac-times_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-/r/_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-square-sqrt_binary64` `sqrt-undiv_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 229

Calls

8 calls:

18.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
10.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
5.0ms	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
5.0ms	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
0.0ms	(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))))

series257.0ms (0.3%)

Counts

4 → 33

Calls

4 calls:

75.0ms	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
74.0ms	(sqrt.f64 (sqrt.f64 (-.f64 n f)))
63.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
46.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))

Compiler

Compiled 1695 to 1085 computations (36% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5213	4074

prune37.7s (36.6%)

Pruning

634 alts after pruning (622 fresh and 12 done)

	Pruned	Kept	Total
New	635	273	908
Fresh	30	349	379
Picked	0	0	0
Done	0	12	12
Total	665	634	1299

Error

Counts

1299 → 634

Compiler

Compiled 36455 to 18991 computations (47.9% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`neg-mul-1_binary64`
5×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 95

Calls

2 calls:

10.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

series97.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

97.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 465 to 441 computations (5.2% saved)

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5846	2433

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 n (/.f64 -2 f))
0.2b	(*.f64 n (/.f64 -2 f))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

2 calls:

10.0ms	(*.f64 n (/.f64 -2 f))
0.0ms	(*.f64 n (/.f64 -2 f))

series56.0ms (0.1%)

Counts

1 → 6

Calls

1 calls:

56.0ms

(*.f64 n (/.f64 -2 f))

Compiler

Compiled 60 to 60 computations (0% saved)

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4863	369
1	4863	369

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

2.2b	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
2.0b	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
0.1b	(.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
0.0b	(*.f64 n (-.f64 n f))
0.1b	(.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
2.0b	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
2.2b	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
40.2b	(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))

rewrite69.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64`
25×	`distribute-lft-out_binary64`
22×	`associate-/l*_binary64` `times-frac_binary64`
20×	`unpow-prod-down_binary64` `cube-prod_binary64`
18×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-+r+_binary64` `frac-times_binary64`
6×	`pow1_binary64` `flip3--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
5×	`sum-cubes_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
4×	`associate-r/_binary64` `associate-l/_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `neg-mul-1_binary64` `distribute-neg-frac_binary64` `prod-exp_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `neg-sub0_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `-commutative_binary64`

Counts

4 → 137

Calls

8 calls:

28.0ms	(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
12.0ms	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
9.0ms	(.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
5.0ms	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
0.0ms	(*.f64 n (-.f64 n f))

series551.0ms (0.5%)

Counts

4 → 78

Calls

4 calls:

146.0ms	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
146.0ms	(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))
145.0ms	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
113.0ms	(.f64 (-.f64 f n) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))

Compiler

Compiled 1935 to 1581 computations (18.3% saved)

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	4967
1	4962	4967

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f))
0.2b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
0.1b	(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f))) 3)
0.0b	(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f))) 3))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (+.f64 f n))
0.6b	(pow.f64 (cbrt.f64 (+.f64 f n)) 6)
31.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

8 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 f n)) 6)
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
0.0ms	(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f))) 3))

series1.1s (1%)

Counts

4 → 44

Calls

4 calls:

795.0ms	(pow.f64 (cbrt.f64 (+.f64 f n)) 6)
116.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6))
89.0ms	(cbrt.f64 (+.f64 f n))
68.0ms	(cbrt.f64 (+.f64 f n))

Compiler

Compiled 1924 to 1594 computations (17.2% saved)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5217	1187

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 n (sqrt.f64 n))
0.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3)))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (*.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3)))))
0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
5.6b	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (*.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))
7.7b	(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3)))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (*.f64 n f))))
23.2b	(sqrt.f64 (pow.f64 f 3))
23.2b	(sqrt.f64 (pow.f64 f 3))

rewrite78.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`sqrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
27×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`times-frac_binary64`
9×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
8×	`rem-sqrt-square_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
7×	`associate-/l*_binary64`
6×	`associate-*l/_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `sqrt-div_binary64` `cube-mult_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

8 calls:

35.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3)))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (*.f64 n f))))
18.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (*.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))
3.0ms	(sqrt.f64 (pow.f64 f 3))
3.0ms	(sqrt.f64 (pow.f64 f 3))
0.0ms	(sqrt.f64 (+.f64 f n))

series290.0ms (0.3%)

Counts

4 → 25

Calls

4 calls:

143.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (+.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3)))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))) (+.f64 (.f64 n n) (+.f64 (.f64 f f) (*.f64 n f))))
108.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 (*.f64 n (sqrt.f64 n)) (sqrt.f64 (pow.f64 f 3))))
20.0ms	(sqrt.f64 (pow.f64 f 3))
18.0ms	(sqrt.f64 (pow.f64 f 3))

Compiler

Compiled 1266 to 870 computations (31.3% saved)

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4991	3565
1	4991	3565

prune29.8s (28.9%)

Pruning

815 alts after pruning (798 fresh and 17 done)

	Pruned	Kept	Total
New	425	219	644
Fresh	38	579	617
Picked	0	0	0
Done	0	17	17
Total	463	815	1278

Error

Counts

1278 → 815

Compiler

Compiled 11264 to 4550 computations (59.6% saved)

simplify897.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5009	61408

regimes9.4s (9.1%)

Compiler: Compiled 100906 to 61394 computations (39.2% saved)

bsearch0.0ms (0%)

regimes65.0ms (0.1%)

Compiler: Compiled 40 to 56 computations (-40% saved)

bsearch50.0ms (0%)

Steps

Iters	Range		Point
9	1.875228066389577e-28	5.751650410147694e-21	1.488042170988726e-25
8	-1.4760219251331375e-130	-1.0163195974435717e-133	-1.4575611998620783e-130
8	-8.245810587700348e-115	-1.2755893963523663e-117	-1.290161142027101e-117
6	-6.818587984883449e-38	-1.3714963052523318e-38	-6.063673780711014e-38

Compiler

Compiled 30 to 29 computations (3.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	40
1	50	40

end0.0ms (0%)

sample1.0s (1%)

Algorithm

1×

intervals

Results

223.0ms

8000×

body

128

valid

Compiler

Compiled 33580 to 20448 computations (39.1% saved)