Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

499×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

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: 6.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

4.0ms	(- (* z z) t)
8.0ms	(* (* y 4.0) (- (* z z) t))

series82.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* z z) t)
62.0ms	(* (* y 4.0) (- (* z z) t))

simplify35.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	214	228
1	984	192
2	5001	191

prune87.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Merged error: 2.2b

Counts

45 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (* y 4.0) (- (* z z) t))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `associate-r` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 58

Calls

4 calls:

8.0ms	(* (* y 4.0) (- (* z z) t))
6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* y 4.0) (- (* z z) t))
146.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
140.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
144.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	528
1	1138	466
2	5001	441

prune213.0ms

Filtered

70 candidates to 55 candidates (78.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 2.2b

Counts

75 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
7.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
7.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
7.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
165.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
139.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
150.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	158	484
1	377	440
2	1101	408
3	3390	400
4	5001	400

prune223.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 2.2b

Counts

62 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (- (* t t)) (pow z 4)) 4.0)
2.6b	(+ (- (* t t)) (pow z 4))
6.0b	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
21.9b	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`flip3-+` `associate-l` `flip-+`
4×	`pow-prod-down`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`sum-log` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `frac-2neg` `neg-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

8.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
6.0ms	(+ (- (* t t)) (pow z 4))
10.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
18.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
53.0ms	(+ (- (* t t)) (pow z 4))
74.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
94.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

simplify74.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	423	814
1	2658	627
2	5001	619

prune228.0ms

Filtered

94 candidates to 70 candidates (74.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	94	6	100

Merged error: 2.2b

Counts

100 → 6

regimes399.0ms

Accuracy

80.3% (0.6b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 5.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample911.0ms

Algorithm

intervals

Results

499.0ms

15662×

body

valid