Details

sample122.0ms

Algorithm

intervals

Results

37.0ms	57×	body	1280	valid
20.0ms	41×	body	640	valid
14.0ms	114×	body	80	valid
8.0ms	28×	body	320	valid
7.0ms	91×	body	80	nan
5.0ms	2×	body	2560	valid
4.0ms	47×	body	80	overflowed
3.0ms	15×	body	160	valid
2.0ms	8×	body	640	nan
2.0ms	8×	body	320	nan
0.0ms	2×	body	160	nan

simplify207.0ms

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: 26.0b

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)
1.9b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(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))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
40.0ms	(+ (- 1.0 y) (* y (exp z)))
75.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

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

prune278.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.2b

localize17.0ms

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))))
4.2b	(/ (* z y) t)
6.8b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite51.0ms

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:

35.0ms	(+ (* 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)

series144.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
19.0ms	(/ (* z y) t)
18.0ms	(/ (* (pow z 2) y) t)
19.0ms	(* (pow z 2) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

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

prune334.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.4b

localize25.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
6.8b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite111.0ms

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:

70.0ms	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
25.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series224.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 1.0 (* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
54.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))
20.0ms	(/ (* (pow z 2) y) t)
19.0ms	(* (pow z 2) y)

simplify129.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	929	1557
1	4839	1399
2	5001	1385

prune555.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize29.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.2b	(* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))
6.8b	(/ (* (pow z 2) y) t)
8.1b	(* (pow z 2) y)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-exp-log`
70×	`add-sqr-sqrt`
61×	`times-frac`
49×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
31×	`add-cube-cbrt` `*-un-lft-identity` `div-exp`
30×	`prod-exp`
29×	`cbrt-undiv`
26×	`cbrt-unprod`
19×	`associate-l`
16×	`associate-*r/` `unswap-sqr`
12×	`frac-add`
9×	`add-log-exp`
6×	`pow1`
4×	`frac-times` `unpow-prod-down` `flip3-+` `associate-*l/` `flip-+` `div-inv`
3×	`associate-/r*` `sum-log`
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 → 166

Calls

4 calls:

116.0ms	(+ (* 1.0 (* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
49.0ms	(* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series231.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (* 1.0 (* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
54.0ms	(* (/ (/ z (* (cbrt t) (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t)))) (/ y (cbrt (cbrt t))))
19.0ms	(/ (* (pow z 2) y) t)
19.0ms	(* (pow z 2) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1244	2991
1	5002	2610

prune952.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

regimes543.0ms

Accuracy

73.7% (4.3b remaining)

Error of 7.7b against oracle of 3.4b and baseline of 19.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	74
1	52	74

end0.0ms

sample3.6s

Algorithm

intervals

Results

998.0ms	1403×	body	1280	valid
734.0ms	1633×	body	640	valid
446.0ms	3535×	body	80	valid
274.0ms	892×	body	320	valid
200.0ms	2420×	body	80	nan
143.0ms	1505×	body	80	overflowed
113.0ms	76×	body	2560	valid
99.0ms	487×	body	160	valid
91.0ms	276×	body	640	nan
50.0ms	111×	body	1280	nan
45.0ms	192×	body	320	nan
19.0ms	119×	body	160	nan