Details

sample108.0ms

Algorithm

intervals

Results

25.0ms	50×	body	10240	exit
24.0ms	45×	body	1280	valid
16.0ms	55×	body	640	valid
8.0ms	6×	body	2560	valid
6.0ms	106×	body	80	valid
6.0ms	34×	body	320	valid
3.0ms	77×	body	80	nan
1.0ms	4×	body	1280	nan
1.0ms	10×	body	160	valid
1.0ms	5×	body	320	nan
0.0ms	2×	body	640	nan
0.0ms	4×	body	160	nan

simplify206.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.1b	(+ (- 1.0 y) (* y (exp z)))
2.2b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite56.0ms

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))
23.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
17.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
155.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(+ (- 1.0 y) (* y (exp z)))
76.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

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

prune263.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 4 expressions with local error:

3.0b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.9b	(/ (* z y) t)
6.6b	(* (pow z 2) y)
7.5b	(/ (* (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:

31.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ (* z y) t)
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series151.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
20.0ms	(/ (* z y) t)
22.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

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

prune298.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.9b	(/ t (* z y))
6.6b	(* (pow z 2) y)
7.5b	(/ (* (pow z 2) y) t)

rewrite52.0ms

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` `frac-add`
7×	`prod-exp`
6×	`times-frac` `div-exp`
5×	`associate-*r/`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-/r` `associate-/l` `unswap-sqr`
3×	`flip3-+` `associate-r` `sum-log` `un-div-inv` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 90

Calls

4 calls:

36.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ t (* z y))
6.0ms	(* (pow z 2) y)
4.0ms	(/ (* (pow z 2) y) t)

series186.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
19.0ms	(/ t (* z y))
18.0ms	(* (pow z 2) y)
23.0ms	(/ (* (pow z 2) y) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	537	799
1	2508	716
2	5002	713

prune324.0ms

Filtered

102 candidates to 67 candidates (65.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.6b	(/ (* z y) (* (cbrt t) (cbrt t)))
6.6b	(* (pow z 2) y)
7.5b	(/ (* (pow z 2) y) t)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`div-exp` `associate-l`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`pow1` `unpow-prod-down` `times-frac` `associate-r/` `frac-add` `associate-/r` `unswap-sqr`
3×	`associate-r` `sum-log`
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:

40.0ms	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))
6.0ms	(* (pow z 2) y)
7.0ms	(/ (* (pow z 2) y) t)

series279.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
121.0ms	(/ (* z y) (* (cbrt t) (cbrt t)))
21.0ms	(* (pow z 2) y)
19.0ms	(/ (* (pow z 2) y) t)

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	582	873
1	2841	761
2	5001	750

prune335.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.9b

regimes534.0ms

Accuracy

61.8% (6.5b remaining)

Error of 10.4b against oracle of 3.9b and baseline of 20.8b

bsearch139.0ms

Steps

Iters	Range		Point
5	-5.8348561704456635e-272	-2.0835687017211917e-272	-5.762585088689098e-272
9	-3.318457867014377e+23	-1.443298545301442e+16	-14648451049727102.0

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	37
1	61	37

end0.0ms

sample3.2s

Algorithm

intervals

Results

781.0ms	1558×	body	10240	exit
771.0ms	1465×	body	1280	valid
477.0ms	1622×	body	640	valid
216.0ms	3476×	body	80	valid
175.0ms	940×	body	320	valid
105.0ms	85×	body	2560	valid
91.0ms	2429×	body	80	nan
56.0ms	276×	body	640	nan
50.0ms	451×	body	160	valid
29.0ms	94×	body	1280	nan
23.0ms	175×	body	320	nan
10.0ms	113×	body	160	nan