Details

analyze880.0ms

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

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	5590	11

prune4.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.9b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune129.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

33.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
60.0ms	(cbrt (/ (- z t) (- a t)))
62.0ms	(cbrt (/ (- z t) (- a t)))
57.0ms	(cbrt (/ (- z t) (- a t)))

simplify113.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5428	5460

prune230.0ms

Filtered

176 candidates to 288 candidates (-63.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	288	6	294

Merged error: 0b

Counts

294 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b	(* y (/ (- z t) (- a t)))
5.9b	(cbrt (* y (/ (- z t) (- a t))))
5.9b	(cbrt (* y (/ (- z t) (- a t))))
5.9b	(cbrt (* y (/ (- z t) (- a t))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

13.0ms	(* y (/ (- z t) (- a t)))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* y (/ (- z t) (- a t)))
54.0ms	(cbrt (* y (/ (- z t) (- a t))))
52.0ms	(cbrt (* y (/ (- z t) (- a t))))
55.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify32.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5071	935

prune99.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
12.6b	(/ (* y (- z t)) (- a t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

6.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))
8.0ms	(/ (* y (- z t)) (- a t))

series51.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
26.0ms	(+ x (/ (* y (- z t)) (- a t)))
18.0ms	(/ (* y (- z t)) (- a t))

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5392	699

prune62.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	74	6	80

Merged error: 0b

Counts

80 → 6

regimes567.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample573.0ms

Algorithm

intervals

Results

287.0ms	7999×	body	80	valid
23.0ms	692×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze880.0ms

sample27.0ms

simplify194.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series55.0ms

simplify41.0ms

prune129.0ms

localize14.0ms

rewrite76.0ms

series258.0ms

simplify113.0ms

prune230.0ms

localize16.0ms

rewrite40.0ms

series177.0ms

simplify32.0ms

prune99.0ms

localize8.0ms

rewrite23.0ms

series51.0ms

simplify38.0ms

prune62.0ms

regimes567.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

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