Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

343×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
4.7b	(/ (* y (- z t)) a)

rewrite21.0ms

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:

10.0ms	(* y (- z t))
4.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series131.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z t))
49.0ms	(+ x (/ (* y (- z t)) a))
47.0ms	(/ (* 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

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.4b	(/ 1 (/ a (* y (- z t))))
4.7b	(/ a (* y (- z t)))

rewrite44.0ms

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:

9.0ms	(* y (- z t))
13.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
13.0ms	(/ 1 (/ a (* y (- z t))))
5.0ms	(/ a (* y (- z t)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (- z t))
45.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
52.0ms	(/ 1 (/ a (* y (- z t))))
37.0ms	(/ a (* y (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (43.0ms)

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

prune230.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a y) (- z t))))
0.4b	(/ 1 (/ (/ a y) (- z t)))
7.0b	(/ (/ a y) (- z t))

rewrite140.0ms

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:

77.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
21.0ms	(/ 1 (/ (/ a y) (- z t)))
9.0ms	(/ (/ a y) (- z t))

series146.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
52.0ms	(/ 1 (/ (/ a y) (- z t)))
44.0ms	(/ (/ a y) (- z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1419	4509
1	5002	3663

prune690.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
4.7b	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
27.0ms	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

series629.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
178.0ms	(cbrt y)
184.0ms	(cbrt y)
83.0ms	(/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z t))) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	300	452
1	1496	343
2	5003	302

prune182.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes349.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample862.0ms

Algorithm

intervals

Results

545.0ms

10766×

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