Details

sample104.0ms

Algorithm

intervals

Results

28.0ms	50×	body	1280	valid
21.0ms	37×	body	10240	exit
14.0ms	45×	body	640	valid
7.0ms	117×	body	80	valid
5.0ms	26×	body	320	valid
4.0ms	3×	body	2560	valid
3.0ms	71×	body	80	nan
2.0ms	16×	body	160	valid
1.0ms	4×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	6×	body	160	nan

simplify212.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(+ (- 1.0 y) (* y (exp z)))
2.5b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
25.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(+ (- 1.0 y) (* y (exp z)))
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune294.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.3b

localize22.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* z y) t)
5.3b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-*r/` `frac-add` `unswap-sqr`
3×	`associate-r` `sum-log` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 87

Calls

4 calls:

3.0ms	(/ (* z y) t)
30.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series154.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z y) t)
93.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	493	659
1	2291	586
2	5001	586

prune326.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize26.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
5.3b	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`add-exp-log`
31×	`times-frac`
25×	`associate-r` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*r/`
15×	`associate-l`
14×	`prod-exp`
12×	`frac-add`
11×	`cbrt-prod` `div-exp`
10×	`cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `add-log-exp`
6×	`pow1`
4×	`frac-times` `unpow-prod-down` `flip3-+` `associate-*l/` `flip-+`
3×	`associate-/r*` `sum-log` `div-inv`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l*`

Counts

4 → 131

Calls

4 calls:

25.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
68.0ms	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series226.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
138.0ms	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
18.0ms	(* (pow z 2) y)
20.0ms	(/ (* (pow z 2) y) t)

simplify139.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	930	1557
1	4803	1399
2	5002	1385

prune590.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (/ y t))
5.3b	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.7b	(* (pow z 2) y)
6.1b	(/ (* (pow z 2) y) t)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r` `add-cbrt-cube`
13×	`times-frac`
11×	`associate-l`
9×	`add-log-exp`
8×	`associate-*r/` `prod-exp`
6×	`pow1` `unswap-sqr`
5×	`div-exp`
4×	`unpow-prod-down` `frac-add` `cbrt-unprod`
3×	`cbrt-undiv` `associate-/r*` `sum-log`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

8.0ms	(* z (/ y t))
37.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* z (/ y t))
92.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
18.0ms	(* (pow z 2) y)
20.0ms	(/ (* (pow z 2) y) t)

simplify82.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	559	708
1	2750	632
2	5001	632

prune344.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.3b

regimes497.0ms

Accuracy

72.4% (4.5b remaining)

Error of 8.6b against oracle of 4.1b and baseline of 20.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	34
1	45	34

end0.0ms

sample3.2s

Algorithm

intervals

Results

806.0ms	1477×	body	1280	valid
743.0ms	1440×	body	10240	exit
477.0ms	1564×	body	640	valid
227.0ms	3563×	body	80	valid
162.0ms	862×	body	320	valid
109.0ms	84×	body	2560	valid
109.0ms	2477×	body	80	nan
56.0ms	477×	body	160	valid
45.0ms	221×	body	640	nan
33.0ms	104×	body	1280	nan
28.0ms	182×	body	320	nan
10.0ms	114×	body	160	nan