Details

analyze928.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

simplify271.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	5591	16

prune1.0ms

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: 1.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series520.0ms

Counts

3 → 9

Calls

3 calls:

250.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
95.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
175.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5050	2068

prune83.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
0.6b	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
1.8b	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
336×	`add-sqr-sqrt_binary64`
324×	`*-un-lft-identity_binary64`
158×	`add-cube-cbrt_binary64`
98×	`associate-r_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
28×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `div-exp_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 334

Calls

4 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
16.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
39.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

series946.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))))
88.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
204.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
314.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

simplify111.0ms

Algorithm

egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5128	6991

prune204.0ms

Filtered

203 candidates to 346 candidates (-70.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	344	2	346
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	348	5	353

Merged error: 0b

Counts

353 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.0b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

35.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
10.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
15.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series744.0ms

Counts

3 → 9

Calls

3 calls:

341.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
93.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
310.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4992	5201
1	4992	5201

prune120.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	216	4	220

Merged error: 0b

Counts

220 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t)))))
0.0b	(/.f64 1 (-.f64 z t))
0.2b	(/.f64 1 (/.f64 1 (-.f64 z t)))
11.2b	(*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac_binary64`
231×	`add-sqr-sqrt_binary64`
196×	`*-un-lft-identity_binary64`
130×	`add-cube-cbrt_binary64`
68×	`associate-r_binary64`
63×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
28×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
26×	`associate-/r*_binary64`
23×	`div-exp_binary64`
21×	`associate-l_binary64`
20×	`associate-/r/_binary64`
16×	`rec-exp_binary64`
14×	`unswap-sqr_binary64` `prod-exp_binary64`
13×	`cbrt-undiv_binary64`
11×	`div-inv_binary64`
9×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/l*_binary64`
5×	`pow-flip_binary64`
3×	`inv-pow_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `remove-double-div_binary64` `flip3-+_binary64` `associate-r/_binary64` `un-div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 298

Calls

4 calls:

5.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t)))))
6.0ms	(/.f64 1 (-.f64 z t))
12.0ms	(/.f64 1 (/.f64 1 (-.f64 z t)))
55.0ms	(*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t))))

series716.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t)))))
40.0ms	(/.f64 1 (-.f64 z t))
28.0ms	(/.f64 1 (/.f64 1 (-.f64 z t)))
314.0ms	(*.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (/.f64 1 (-.f64 z t))))

simplify78.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5013	4932

prune152.0ms

Filtered

162 candidates to 310 candidates (-91.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	310	4	314

Merged error: 0b

Counts

314 → 4

regimes77.0ms

Accuracy

38.9% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	53
1	37	53

end0.0ms

sample596.0ms

Algorithm

intervals

Results

288.0ms	7999×	body	128	valid
29.0ms	742×	body	128	invalid
0.0ms	1×	body	512	valid

Details

analyze928.0ms

sample21.0ms

simplify271.0ms

prune1.0ms

localize9.0ms

rewrite43.0ms

series520.0ms

simplify63.0ms

prune83.0ms

localize13.0ms

rewrite121.0ms

series946.0ms

simplify111.0ms

prune204.0ms

localize8.0ms

rewrite91.0ms

series744.0ms

simplify94.0ms

prune120.0ms

localize11.0ms

rewrite125.0ms

series716.0ms

simplify78.0ms

prune152.0ms

regimes77.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample596.0ms

Profiling