Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

275×

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: 9.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
9.8b	(/ (* (- y z) t) (- a z))

rewrite68.0ms

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:

22.0ms	(+ x (/ (* (- y z) t) (- a z)))
22.0ms	(* (- y z) t)
23.0ms	(/ (* (- y z) t) (- a z))

series153.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (/ (* (- y z) t) (- a z)))
29.0ms	(* (- y z) t)
57.0ms	(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune161.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.1b	(/ (- y z) (/ (- a z) t))

rewrite111.0ms

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:

56.0ms	(+ x (/ (- y z) (/ (- a z) t)))
15.0ms	(/ (- a z) t)
27.0ms	(/ (- y z) (/ (- a z) t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ x (/ (- y z) (/ (- a z) t)))
24.0ms	(/ (- a z) t)
88.0ms	(/ (- y z) (/ (- a z) t))

simplify76.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (18.0ms)

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

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
1.3b	(* (/ (- y z) (- a z)) t)

rewrite79.0ms

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:

6.0ms	(+ x (* (/ (- y z) (- a z)) t))
21.0ms	(/ (- y z) (- a z))
46.0ms	(* (/ (- y z) (- a z)) t)

series206.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (* (/ (- y z) (- a z)) t))
48.0ms	(/ (- y z) (- a z))
88.0ms	(* (/ (- y z) (- a z)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

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

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (/ (- y z) (- a z)) t)
5.9b	(cbrt (* (/ (- y z) (- a z)) t))
5.9b	(cbrt (* (/ (- y z) (- a z)) t))
5.9b	(cbrt (* (/ (- y z) (- a z)) t))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

43.0ms	(* (/ (- y z) (- a z)) t)
15.0ms	(cbrt (* (/ (- y z) (- a z)) t))
13.0ms	(cbrt (* (/ (- y z) (- a z)) t))
13.0ms	(cbrt (* (/ (- y z) (- a z)) t))

series904.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (/ (- y z) (- a z)) t)
274.0ms	(cbrt (* (/ (- y z) (- a z)) t))
271.0ms	(cbrt (* (/ (- y z) (- a z)) t))
267.0ms	(cbrt (* (/ (- y z) (- a z)) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	376	695
1	1120	635
2	5001	629

prune304.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

81% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms

sample609.0ms

Algorithm

intervals

Results

243.0ms	8737×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	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