Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

348×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.9b	(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z t)) a))
12.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series132.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ (* y (- z t)) a))
39.0ms	(* y (- z t))
46.0ms	(/ (* y (- z t)) a)

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	297	325
1	1236	280
2	5001	280

prune154.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
4.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
35.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt a)
178.0ms	(cbrt a)
180.0ms	(cbrt a)
93.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify68.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706

prune349.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.0b	(* y (- z t))
0.5b	(/ 1 (/ a (* y (- z t))))
5.9b	(/ a (* y (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

18.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
9.0ms	(* y (- z t))
10.0ms	(/ 1 (/ a (* y (- z t))))
5.0ms	(/ a (* y (- z t)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
35.0ms	(* y (- z t))
55.0ms	(/ 1 (/ a (* y (- z t))))
38.0ms	(/ a (* y (- z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	454	816
1	2100	669
2	5003	652

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a y) (- z t))))
0.5b	(/ 1 (/ (/ a y) (- z t)))
8.5b	(/ (/ a y) (- z t))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

80.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
21.0ms	(/ 1 (/ (/ a y) (- z t)))
9.0ms	(/ (/ a y) (- z t))

series141.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
55.0ms	(/ 1 (/ (/ a y) (- z t)))
36.0ms	(/ (/ a y) (- z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1427	4509
1	5001	3663

prune697.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes251.0ms

Accuracy

85.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample627.0ms

Algorithm

intervals

Results

314.0ms

10614×

body

valid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4