Details

sample51.0ms

Algorithm

intervals

Results

19.0ms

386×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune6.0ms

Filtered

1 candidates to 0 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 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`diff-log` `associate-r`
4×	`sub-neg` `associate-+l+` `associate--l+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
11.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
11.0ms	(* (- (+ y t) 2.0) b)

series298.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
89.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
154.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
27.0ms	(* (- (+ y t) 2.0) b)

simplify106.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	835	1467
1	4303	1416
2	5001	1416

prune547.0ms

Filtered

107 candidates to 77 candidates (72.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series698.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt a) (cbrt a))
173.0ms	(cbrt a)
167.0ms	(cbrt a)
169.0ms	(cbrt a)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune462.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
0.0b	(* (+ y t) (+ y t))
4.6b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
12.2b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `distribute-lft-out`
8×	`associate-l`
7×	`flip3-+` `associate-r` `flip-+`
6×	`swap-sqr` `associate-*l/` `add-log-exp`
5×	`times-frac` `associate-/r*`
4×	`frac-times`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `-commutative` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 105

Calls

4 calls:

8.0ms	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
8.0ms	(* (+ y t) (+ y t))
11.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
15.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series189.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
14.0ms	(* (+ y t) (+ y t))
59.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
89.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	506	891
1	2569	770
2	5001	766

prune527.0ms

Filtered

117 candidates to 74 candidates (63.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	117	3	120

Merged error: 0.0b

Counts

120 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b))))
0.0b	(+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
16×	`flip3--` `flip--`
14×	`associate-*l/`
12×	`frac-add` `frac-sub`
10×	`add-sqr-sqrt` `*-un-lft-identity` `sum-log`
9×	`diff-log`
8×	`associate-+l+` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube`
5×	`associate-l`
4×	`associate--l+`
3×	`associate-r`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
1×	`associate--l-` `associate-+l-` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b))))
7.0ms	(+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
88.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
174.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b))))
55.0ms	(+ (* b (- (* 1.0 t) 2.0)) (* 1.0 (* y b)))

simplify114.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	798	1876
1	4141	1809
2	5001	1806

prune542.0ms

Filtered

104 candidates to 76 candidates (73.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

regimes443.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

631.0ms	12476×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

Details

sample51.0ms

simplify40.0ms

prune6.0ms

localize14.0ms

rewrite38.0ms

series298.0ms

simplify106.0ms

prune547.0ms

localize18.0ms

rewrite13.0ms

series698.0ms

simplify87.0ms

prune462.0ms

localize19.0ms

rewrite45.0ms

series189.0ms

simplify75.0ms

prune527.0ms

localize17.0ms

rewrite36.0ms

series346.0ms

simplify114.0ms

prune542.0ms

regimes443.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling