Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

sample13.0ms

Algorithm

intervals

Results

4.0ms	253×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune5.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3107`
1×	`pow1_binary64_3088` `add-cbrt-cube_binary64_3114` `sub-neg_binary64_3146` `add-exp-log_binary64_3106` `*-un-lft-identity_binary64_3142` `flip--_binary64_3168` `diff-log_binary64_3058` `add-cube-cbrt_binary64_3113` `flip3--_binary64_3141` `add-sqr-sqrt_binary64_3127`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x 116) 16)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(-.f64 (*.f64 x 116) 16)

simplify78.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5268	146

prune45.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b	(.f64 (.f64 x x) 13456)
13.7b	(/.f64 (+.f64 (.f64 (.f64 x x) 13456) -256) (+.f64 (*.f64 x 116) 16))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_3127`
11×	`*-un-lft-identity_binary64_3142` `add-cube-cbrt_binary64_3113`
9×	`add-cbrt-cube_binary64_3114` `add-exp-log_binary64_3106` `times-frac_binary64_3137`
7×	`pow1_binary64_3088`
3×	`associate-/l_binary64_3206` `associate-/r_binary64_3205` `cbrt-unprod_binary64_3111` `pow-prod-down_binary64_3069` `associate-r_binary64_3201` `prod-exp_binary64_3093`
2×	`associate-/l/_binary64_3208` `flip-+_binary64_3167` `flip3-+_binary64_3140` `associate-/r/_binary64_3207` `add-log-exp_binary64_3107`
1×	`associate-l_binary64_3202` `cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `clear-num_binary64_3145` `unswap-sqr_binary64_3170` `frac-2neg_binary64_3135` `*-commutative_binary64_3210` `div-inv_binary64_3143`

Counts

2 → 50

Calls

2 calls:

5.0ms	(.f64 (.f64 x x) 13456)
11.0ms	(/.f64 (+.f64 (.f64 (.f64 x x) 13456) -256) (+.f64 (*.f64 x 116) 16))

series81.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(.f64 (.f64 x x) 13456)
64.0ms	(/.f64 (+.f64 (.f64 (.f64 x x) 13456) -256) (+.f64 (*.f64 x 116) 16))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4946	1056
1	4946	1056

prune136.0ms

Filtered

38 candidates to 56 candidates (-47.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x 116) -16)
0.0b	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
0.0b	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x 116) -16)) (sqrt.f64 (+.f64 (*.f64 x 116) -16)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_3127`
24×	`sqrt-prod_binary64_3121`
21×	`pow1_binary64_3088`
16×	`sqrt-div_binary64_3122`
14×	`*-un-lft-identity_binary64_3142` `add-cube-cbrt_binary64_3113`
10×	`sqrt-pow1_binary64_3123` `pow1/2_binary64_3078`
9×	`flip-+_binary64_3167` `flip3-+_binary64_3140`
8×	`swap-sqr_binary64_3169`
6×	`associate-l_binary64_3202` `add-cbrt-cube_binary64_3114` `associate-r_binary64_3201` `add-exp-log_binary64_3106` `add-log-exp_binary64_3107`
5×	`pow-prod-up_binary64_3068`
4×	`frac-times_binary64_3134` `unswap-sqr_binary64_3170`
3×	`pow-prod-down_binary64_3069` `pow-sqr_binary64_3175`
2×	`associate-l/_binary64_3204` `associate-r/_binary64_3203` `rem-sqrt-square_binary64_3130`
1×	`pow2_binary64_3079` `cbrt-unprod_binary64_3111` `+-commutative_binary64_3209` `sum-log_binary64_3057` `*-commutative_binary64_3210` `rem-square-sqrt_binary64_3129` `sqrt-unprod_binary64_3125` `prod-exp_binary64_3093` `pow-plus_binary64_3083`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+.f64 (*.f64 x 116) -16)
4.0ms	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
12.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x 116) -16)) (sqrt.f64 (+.f64 (*.f64 x 116) -16)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 (*.f64 x 116) -16)
17.0ms	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
22.0ms	(sqrt.f64 (+.f64 (*.f64 x 116) -16))
26.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x 116) -16)) (sqrt.f64 (+.f64 (*.f64 x 116) -16)))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5263	1670

prune20.0ms

Filtered: 67 candidates to 110 candidates (-64.2%)

Details

analyze3.0ms

sample13.0ms

simplify12.0ms

prune5.0ms

localize5.0ms

rewrite4.0ms

series20.0ms

simplify78.0ms

prune45.0ms

localize13.0ms

rewrite17.0ms

series81.0ms

simplify70.0ms

prune136.0ms

localize8.0ms

rewrite27.0ms

series90.0ms

simplify62.0ms

prune20.0ms

Profiling