Details

sample117.0ms

Algorithm

intervals

Results

26.0ms	47×	body	5120	exit
26.0ms	39×	body	1280	valid
18.0ms	55×	body	640	valid
8.0ms	114×	body	80	valid
7.0ms	6×	body	2560	valid
7.0ms	32×	body	320	valid
4.0ms	84×	body	80	nan
2.0ms	12×	body	160	valid
1.0ms	5×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	2×	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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 24.0b

Counts

2 → 1

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)
1.7b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
151.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
81.0ms	(log (+ (- 1.0 y) (* y (exp z))))
48.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

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

prune248.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 4.7b

Counts

93 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

4.8b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.1b	(/ (* z y) t)
6.1b	(/ (* (pow z 2) y) t)
8.4b	(* (pow z 2) y)

rewrite30.0ms

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:

12.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0ms	(/ (* z y) t)
5.0ms	(/ (* (pow z 2) y) t)
5.0ms	(* (pow z 2) y)

series149.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
19.0ms	(/ (* z y) t)
19.0ms	(/ (* (pow z 2) y) t)
21.0ms	(* (pow z 2) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

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

prune273.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 3.6b

Counts

105 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
4.8b	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
6.1b	(/ (* (pow z 2) y) t)
8.4b	(* (pow z 2) y)

rewrite50.0ms

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:

15.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
19.0ms	(+ (* 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) t)
5.0ms	(* (pow z 2) y)

series223.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
126.0ms	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(/ (* (pow z 2) y) t)
18.0ms	(* (pow z 2) y)

simplify129.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	929	1557
1	4838	1399
2	5001	1385

prune505.0ms

Filtered

143 candidates to 106 candidates (74.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	142	10	152

Merged error: 3.6b

Counts

152 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (pow z 2) y)
12.5b	(cbrt (/ z (* (cbrt t) (cbrt t))))
12.5b	(cbrt (/ z (* (cbrt t) (cbrt t))))
12.5b	(cbrt (/ z (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac`
8×	`associate-l`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`cbrt-div` `pow1/3` `associate-r` `prod-exp` `div-inv`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

5.0ms	(* (pow z 2) y)
5.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (pow z 2) y)
152.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))
145.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))
151.0ms	(cbrt (/ z (* (cbrt t) (cbrt t))))

simplify86.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	168	558
1	482	511
2	2500	505
3	5001	502

prune371.0ms

Filtered

87 candidates to 67 candidates (77.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 3.6b

Counts

97 → 10

regimes735.0ms

Accuracy

73.7% (4.4b remaining)

Error of 8.3b against oracle of 4.0b and baseline of 20.6b

bsearch69.0ms

Steps

Iters	Range		Point
6	-491.3412186506817	-88.04257933538071	-89.31439750200016

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	53
1	53	53

end0.0ms

sample3.5s

Algorithm

intervals

Results

865.0ms	1540×	body	5120	exit
839.0ms	1448×	body	1280	valid
519.0ms	1511×	body	640	valid
252.0ms	3549×	body	80	valid
211.0ms	970×	body	320	valid
122.0ms	2589×	body	80	nan
81.0ms	66×	body	2560	valid
68.0ms	479×	body	160	valid
67.0ms	270×	body	640	nan
37.0ms	109×	body	1280	nan
31.0ms	190×	body	320	nan
12.0ms	115×	body	160	nan