Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	218×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	10×	body	1280	valid
1.0ms	17×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	2×	body	2560	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
4.0b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.8b	(/ (* (- z t) y) (- a t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(* (- z t) y)
28.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- z t) y)
109.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
61.0ms	(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune209.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
10.6b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
64.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
18.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- a t))
151.0ms	(cbrt (- a t))
99.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
111.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	785	1736
1	3321	1577
2	5002	1498

prune482.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t))))))
12.0b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t)))))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

124×	`cbrt-div`
58×	`add-exp-log`
38×	`add-cbrt-cube`
36×	`flip3--` `flip--`
35×	`frac-times`
34×	`associate-/r/`
33×	`associate-r`
25×	`prod-exp` `cbrt-unprod`
20×	`add-sqr-sqrt`
19×	`associate-*l/`
17×	`cbrt-undiv` `div-exp` `associate-l`
16×	`*-un-lft-identity`
13×	`associate-*r/`
10×	`cbrt-prod` `add-cube-cbrt`
9×	`times-frac` `add-log-exp`
6×	`pow1` `frac-sub`
3×	`flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `diff-log` `div-inv` `unswap-sqr`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
170.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t))))))
18.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t)))))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a t))
146.0ms	(cbrt (- a t))
97.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t))))))
111.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (* (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))) (cbrt (cbrt (- a t)))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	1019	3164
1	4179	2429
2	5001	2296

prune561.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.0b	(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
10.6b	(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
134×	`add-sqr-sqrt`
89×	`cbrt-prod`
80×	`associate-l`
76×	`cbrt-div`
71×	`*-un-lft-identity`
53×	`add-cube-cbrt`
42×	`associate-/r/`
39×	`associate-r`
36×	`add-exp-log`
34×	`flip3--` `flip--`
23×	`frac-times`
22×	`add-cbrt-cube`
20×	`unswap-sqr`
14×	`cbrt-undiv` `div-exp`
13×	`associate-r/` `associate-l/`
10×	`prod-exp` `cbrt-unprod`
9×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`pow1` `frac-sub` `div-inv`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 217

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
126.0ms	(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
18.0ms	(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a t))
149.0ms	(cbrt (- a t))
103.0ms	(* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t)))))
115.0ms	(- (+ x y) (* (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))) (/ y (cbrt (cbrt (- a t))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1362	4590
1	5002	4372

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

regimes494.0ms

Accuracy

44% (4.2b remaining)

Error of 8.5b against oracle of 4.3b and baseline of 11.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	85
1	49	85

end0.0ms

sample647.0ms

Algorithm

intervals

Results

241.0ms	7346×	body	80	valid
54.0ms	461×	body	640	valid
41.0ms	431×	body	320	valid
41.0ms	277×	body	1280	valid
15.0ms	253×	body	160	valid
2.0ms	11×	body	2560	valid