Details

analyze1.0s

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

10.0ms	252×	body	80	valid
1.0ms	13×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

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: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-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` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

13.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
11.0ms	(* 60.0 (- x y))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series57.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
19.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune103.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite39.0ms

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	(/ (- x y) (- z t))
10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- x y) (- z t))
33.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune112.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))) (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
0.6b	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
0.6b	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
0.6b	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))) (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
10.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
9.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
9.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))) (cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
254.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
257.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
259.0ms	(cbrt (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	273	1601
1	905	1494
2	3570	1380
3	5002	1368

prune247.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))) (cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
0.6b	(cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
2.6b	(- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))
25.7b	(cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
42×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`difference-of-squares`
8×	`cbrt-div`
7×	`associate-/l*`
6×	`add-exp-log` `associate-/r*` `add-log-exp`
5×	`flip3--` `flip--`
4×	`pow1` `add-cbrt-cube`
2×	`pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 111

Calls

4 calls:

31.0ms	(/ (cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))) (cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
10.0ms	(cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
17.0ms	(- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))
19.0ms	(cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0))))

series2.5s

Counts

4 → 12

Calls

4 calls:

1.6s	(/ (cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))) (cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))))
258.0ms	(cbrt (- (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))
137.0ms	(- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0)))
468.0ms	(cbrt (- (* (/ (* 60.0 (- x y)) (- z t)) (/ (* 60.0 (- x y)) (- z t))) (* (* a 120.0) (* a 120.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	414	3436
1	1505	3305
2	5003	3291

prune615.0ms

Filtered

112 candidates to 123 candidates (-9.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	123	5	128

Merged error: 0b

Counts

128 → 5

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

analyze1.0s

Algorithm: search

sample657.0ms

Algorithm

intervals

Results

330.0ms	7877×	body	80	valid
25.0ms	659×	body	80	invalid
8.0ms	51×	body	640	valid
8.0ms	41×	body	1280	valid
3.0ms	12×	body	2560	valid
2.0ms	14×	body	320	valid
0.0ms	5×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Details

analyze1.0s

sample24.0ms

simplify59.0ms

prune4.0ms

localize10.0ms

rewrite39.0ms

series57.0ms

simplify51.0ms

prune103.0ms

localize10.0ms

rewrite39.0ms

series60.0ms

simplify56.0ms

prune112.0ms

localize19.0ms

rewrite55.0ms

series1.8s

simplify95.0ms

prune247.0ms

localize24.0ms

rewrite81.0ms

series2.5s

simplify80.0ms

prune615.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.0s

sample657.0ms

Profiling

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6