Details

analyze73.0ms

Algorithm

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	247×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune21.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3142` `add-sqr-sqrt_binary64_3127`
4×	`associate-r_binary64_3201`
3×	`associate-l_binary64_3202` `pow1_binary64_3088` `add-cbrt-cube_binary64_3114` `add-exp-log_binary64_3106` `add-cube-cbrt_binary64_3113`
2×	`associate-*r/_binary64_3203`
1×	`cbrt-unprod_binary64_3111` `unswap-sqr_binary64_3170` `pow-prod-down_binary64_3069` `flip-+_binary64_3167` `*-commutative_binary64_3210` `distribute-rgt-in_binary64_3185` `flip3-+_binary64_3140` `distribute-lft-in_binary64_3184` `distribute-lft-out_binary64_3186` `add-log-exp_binary64_3107` `prod-exp_binary64_3093`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 30))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 d1 (+.f64 d2 30))

simplify71.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4869	233
1	4869	233

prune96.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
11.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_3127`
10×	`*-un-lft-identity_binary64_3142`
9×	`add-cbrt-cube_binary64_3114` `add-exp-log_binary64_3106`
6×	`add-cube-cbrt_binary64_3113`
5×	`associate-/r*_binary64_3205` `times-frac_binary64_3137`
4×	`pow1_binary64_3088` `associate-r_binary64_3201` `associate-*r/_binary64_3203`
3×	`associate-l_binary64_3202` `difference-of-squares_binary64_3171` `flip--_binary64_3168` `flip3--_binary64_3141`
2×	`associate-/l/_binary64_3208` `cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `distribute-lft-out--_binary64_3187` `cbrt-unprod_binary64_3111` `sub-neg_binary64_3146` `associate-/r/_binary64_3207` `add-log-exp_binary64_3107` `prod-exp_binary64_3093`
1×	`associate-/l_binary64_3206` `clear-num_binary64_3145` `unswap-sqr_binary64_3170` `pow-prod-down_binary64_3069` `frac-2neg_binary64_3135` `-commutative_binary64_3210` `distribute-rgt-in_binary64_3185` `distribute-lft-in_binary64_3184` `div-inv_binary64_3143`

Counts

2 → 52

Calls

2 calls:

7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

series111.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
70.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	848
1	4960	848

prune179.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
11.5b	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64_3137`
148×	`add-sqr-sqrt_binary64_3127`
122×	`*-un-lft-identity_binary64_3142`
80×	`add-cube-cbrt_binary64_3113`
47×	`difference-of-squares_binary64_3171`
30×	`associate-/r*_binary64_3205`
21×	`distribute-lft-out--_binary64_3187`
11×	`associate-/r/_binary64_3207`
9×	`add-cbrt-cube_binary64_3114` `add-exp-log_binary64_3106`
8×	`associate-/l*_binary64_3206`
6×	`flip--_binary64_3168` `flip3--_binary64_3141` `div-inv_binary64_3143`
4×	`cbrt-undiv_binary64_3112` `div-exp_binary64_3095`
2×	`associate-/l/_binary64_3208` `clear-num_binary64_3145` `pow1_binary64_3088` `frac-2neg_binary64_3135` `add-log-exp_binary64_3107`
1×	`div-sub_binary64_3136`

Counts

2 → 168

Calls

2 calls:

13.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
9.0ms	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

series85.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
16.0ms	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

simplify99.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4950	4735
1	4950	4735

prune549.0ms

Filtered

134 candidates to 174 candidates (-29.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3142`
18×	`sqrt-div_binary64_3122`
17×	`sqrt-prod_binary64_3121` `add-sqr-sqrt_binary64_3127`
14×	`associate-r_binary64_3201`
13×	`pow1_binary64_3088`
11×	`add-cbrt-cube_binary64_3114` `add-exp-log_binary64_3106` `add-cube-cbrt_binary64_3113`
10×	`associate-*r/_binary64_3203`
9×	`flip-+_binary64_3167` `flip3-+_binary64_3140`
4×	`associate-l_binary64_3202` `frac-times_binary64_3134` `cbrt-unprod_binary64_3111` `pow-prod-down_binary64_3069` `distribute-lft-out_binary64_3186` `add-log-exp_binary64_3107` `prod-exp_binary64_3093`
2×	`unswap-sqr_binary64_3170` `sqrt-pow1_binary64_3123` `associate-l/_binary64_3204` `-commutative_binary64_3210` `pow1/2_binary64_3078` `rem-sqrt-square_binary64_3130`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt.f64 (+.f64 d2 30))
20.0ms	(sqrt.f64 (+.f64 d2 30))
42.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
27.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4965	1475
1	4965	1475

prune18.0ms

Filtered: 66 candidates to 99 candidates (-50.0%)

Details

analyze73.0ms

sample22.0ms

simplify12.0ms

prune21.0ms

localize5.0ms

rewrite7.0ms

series29.0ms

simplify71.0ms

prune96.0ms

localize11.0ms

rewrite19.0ms

series111.0ms

simplify64.0ms

prune179.0ms

localize11.0ms

rewrite31.0ms

series85.0ms

simplify99.0ms

prune549.0ms

localize9.0ms

rewrite28.0ms

series106.0ms

simplify83.0ms

prune18.0ms

Profiling