Details

sample106.0ms

Algorithm

intervals

Results

31.0ms	47×	body	1280	valid
19.0ms	49×	body	640	valid
10.0ms	111×	body	80	valid
7.0ms	27×	body	320	valid
6.0ms	97×	body	80	nan
6.0ms	22×	body	160	valid
4.0ms	59×	body	80	overflowed
2.0ms	6×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	6×	body	320	nan
1.0ms	8×	body	160	nan

simplify208.0ms

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: 26.5b

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)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
3.8b	(+ (- 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))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (exp z))
151.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
72.0ms	(log (+ (- 1.0 y) (* y (exp z))))
36.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

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

prune263.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.8b	(/ (* z y) t)
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite47.0ms

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:

32.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ (* z y) t)
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series140.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
18.0ms	(/ (* z y) t)
18.0ms	(/ (* (pow z 2) y) t)
17.0ms	(* (pow z 2) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	492	659
1	2299	586
2	5001	586

prune317.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.9b	(/ t (* z y))
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite53.0ms

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:

38.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.0ms	(/ t (* z y))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series182.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(/ t (* z y))
18.0ms	(/ (* (pow z 2) y) t)
18.0ms	(* (pow z 2) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	536	799
1	2526	716
2	5003	713

prune307.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.2b	(* z (/ y t))
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite56.0ms

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:

36.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
7.0ms	(* z (/ y t))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series150.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(* z (/ y t))
18.0ms	(/ (* (pow z 2) y) t)
18.0ms	(* (pow z 2) y)

simplify84.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	558	708
1	2772	632
2	5001	632

prune310.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

regimes531.0ms

Accuracy

73.3% (4.4b remaining)

Error of 8.1b against oracle of 3.7b and baseline of 20.3b

bsearch172.0ms

Steps

Iters	Range		Point
8	4.120859846406049e-58	2.66572929097632e-55	1.2988023487189804e-56
7	-1.3488457936154646e-05	-1.1902930357079885e-07	-7.43116738070796e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	28
1	56	28

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	1489×	body	1280	valid
630.0ms	1525×	body	640	valid
312.0ms	3565×	body	80	valid
245.0ms	903×	body	320	valid
164.0ms	2551×	body	80	nan
102.0ms	1490×	body	80	overflowed
99.0ms	69×	body	2560	valid
83.0ms	473×	body	160	valid
82.0ms	264×	body	640	nan
59.0ms	134×	body	1280	nan
38.0ms	176×	body	320	nan
15.0ms	97×	body	160	nan