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

sample26.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

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	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
2.1b	(* y (/ (- z t) (- a t)))

rewrite27.0ms

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:

7.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(* y (/ (- z t) (- a t)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
28.0ms	(+ x (* y (/ (- z t) (- a t))))
16.0ms	(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune130.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	4	123

Merged error: 0.0b

Counts

123 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
7.0ms	(/ (- a t) (- z t))
11.0ms	(/ 1 (/ (- a t) (- z t)))
29.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
9.0ms	(/ (- a t) (- z t))
18.0ms	(/ 1 (/ (- a t) (- z t)))
30.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify72.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	4579

prune261.0ms

Filtered

205 candidates to 350 candidates (-70.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	351	3	354

Merged error: 0b

Counts

354 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
11.9b	(* (/ y (- a t)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

3.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
11.0ms	(* (/ y (- a t)) (- z t))

series64.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* (/ y (- a t)) (- z t)))
7.0ms	(/ y (- a t))
24.0ms	(* (/ y (- a t)) (- z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4969	1109
1	4969	1109

prune84.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.5b	(/ (* 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))

series56.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* y (- z t))
27.0ms	(+ x (/ (* y (- z t)) (- a t)))
15.0ms	(/ (* y (- z t)) (- a t))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5392	699

prune59.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Merged error: 0b

Counts

77 → 3

regimes458.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample573.0ms

Algorithm

intervals

Results

300.0ms	7996×	body	80	valid
24.0ms	678×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

Details

analyze880.0ms

sample26.0ms

simplify180.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series52.0ms

simplify40.0ms

prune130.0ms

localize9.0ms

rewrite71.0ms

series89.0ms

simplify72.0ms

prune261.0ms

localize8.0ms

rewrite23.0ms

series64.0ms

simplify50.0ms

prune84.0ms

localize9.0ms

rewrite23.0ms

series56.0ms

simplify46.0ms

prune59.0ms

regimes458.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

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