Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

284×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
9.5b	(/ (* (- y z) t) (- a z))

rewrite32.0ms

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-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `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` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

12.0ms	(* (- y z) t)
9.0ms	(+ x (/ (* (- y z) t) (- a z)))
9.0ms	(/ (* (- y z) t) (- a z))

series160.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- y z) t)
73.0ms	(+ x (/ (* (- y z) t) (- a z)))
60.0ms	(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
11.4b	(/ (- y z) (/ (- a z) t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

7.0ms	(/ (- a z) t)
40.0ms	(+ x (/ (- y z) (/ (- a z) t)))
13.0ms	(/ (- y z) (/ (- a z) t))

series190.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- a z) t)
72.0ms	(+ x (/ (- y z) (/ (- a z) t)))
93.0ms	(/ (- y z) (/ (- a z) t))

simplify77.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune441.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
3.4b	(* (/ (- y z) (- a z)) t)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
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-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* (/ (- y z) (- a z)) t))
10.0ms	(/ (- y z) (- a z))
23.0ms	(* (/ (- y z) (- a z)) t)

series216.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* (/ (- y z) (- a z)) t))
46.0ms	(/ (- y z) (- a z))
96.0ms	(* (/ (- y z) (- a z)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	432	753
1	1363	710
2	5001	709

prune267.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
0.0b	(/ (- y z) (- a z))
3.5b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
699×	`*-un-lft-identity`
697×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
16×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 537

Calls

3 calls:

119.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
10.0ms	(/ (- y z) (- a z))
29.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
49.0ms	(/ (- y z) (- a z))
98.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify102.0ms

Algorithm

egg-herbie

Counts

546 → 546

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	2158	7101
1	5001	6606

prune965.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

80.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.0b

bsearch66.0ms

Steps

Iters	Range		Point
9	9.609130687991155e-91	8.852536544814759e-86	9.77340867370813e-90
3	-601.1964118173061	-482.0998985786282	-573.2595465685469

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample766.0ms

Algorithm

intervals

Results

503.0ms

8769×

body

valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5