Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

360×

body

valid

simplify50.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.3b	(/ (* y (- z t)) a)

rewrite26.0ms

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))
13.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series149.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ x (/ (* y (- z t)) a))
44.0ms	(* y (- z t))
52.0ms	(/ (* y (- z t)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

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

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.3b	(/ y (/ a (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

34.0ms	(+ x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ y (/ a (- z t))))
31.0ms	(/ a (- z t))
63.0ms	(/ y (/ a (- z t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	547	1150
1	2384	1110
2	5003	1107

prune421.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- z t)))
6.7b	(* (/ y a) (- z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

3.0ms	(+ x (* (/ y a) (- z t)))
15.0ms	(* (/ y a) (- z t))

series114.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (/ y a) (- z t)))
61.0ms	(* (/ y a) (- z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	323	335
1	1236	299
2	5001	299

prune147.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.3b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.7b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
110.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
31.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series501.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- z t))
160.0ms	(cbrt (- z t))
63.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
110.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify84.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	818	2292
1	2634	2077
2	5002	2018

prune475.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes339.0ms

Accuracy

40.7% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample610.0ms

Algorithm

intervals

Results

299.0ms

10683×

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