Details

sample105.0ms

Algorithm

intervals

Results

25.0ms	49×	body	1280	valid
20.0ms	41×	body	10240	exit
16.0ms	55×	body	640	valid
6.0ms	101×	body	80	valid
6.0ms	31×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	72×	body	80	nan
2.0ms	18×	body	160	valid
2.0ms	8×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	3×	body	160	nan

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	47	13
4	67	13
5	89	13
6	113	13
7	156	13
8	252	13
9	381	13
10	475	13
11	572	13
12	837	13
13	3049	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.1b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite52.0ms

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)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
14.0ms	(+ (- 1.0 y) (* y (exp z)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (exp z))
162.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
40.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify658.0ms

Counts

92 → 92

Iterations

Useful iterations: done (655.0ms)

Iter	Nodes	Cost
0	203	1436
1	449	1388
2	1476	1269
done	5000	1268

prune295.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.4b	(/ (* z y) t)
6.7b	(/ (* (pow z 2) y) t)
7.7b	(* (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:

30.0ms	(+ (* 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)

series148.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
20.0ms	(/ (* z y) t)
19.0ms	(/ (* (pow z 2) y) t)
21.0ms	(* (pow z 2) y)

simplify748.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	171	1403
1	494	1310
2	2039	1169
done	5000	1169

prune347.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.4b	(* (* z y) (/ 1 t))
6.7b	(/ (* (pow z 2) y) t)
7.7b	(* (pow z 2) y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

47.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
13.0ms	(* (* z y) (/ 1 t))
4.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series151.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
20.0ms	(* (* z y) (/ 1 t))
23.0ms	(/ (* (pow z 2) y) t)
19.0ms	(* (pow z 2) y)

simplify1.0s

Counts

119 → 119

Iterations

Useful iterations: 2 (312.0ms)

Iter	Nodes	Cost
0	220	1890
1	672	1631
2	2631	1450
done	5001	1450

prune391.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

localize21.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (pow z 2) y)
21.0b	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
21.0b	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
21.0b	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`cbrt-div`
12×	`associate-*r/` `frac-add`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
8×	`associate-l`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-r` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* (pow z 2) y)
26.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
28.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
26.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (pow z 2) y)
267.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
262.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
268.0ms	(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

simplify623.0ms

Counts

87 → 87

Iterations

Useful iterations: done (619.0ms)

Iter	Nodes	Cost
0	181	3166
1	477	3000
2	1682	2736
done	5001	2724

prune473.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 2.5b

regimes762.0ms

Accuracy

72.3% (4.5b remaining)

Error of 8.1b against oracle of 3.5b and baseline of 20.0b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	46
1	43	46
done	43	46

end0.0ms

sample3.1s

Algorithm

intervals

Results

769.0ms	1567×	body	10240	exit
745.0ms	1438×	body	1280	valid
474.0ms	1643×	body	640	valid
214.0ms	3542×	body	80	valid
164.0ms	880×	body	320	valid
96.0ms	69×	body	2560	valid
92.0ms	2490×	body	80	nan
59.0ms	301×	body	640	nan
51.0ms	458×	body	160	valid
33.0ms	107×	body	1280	nan
25.0ms	188×	body	320	nan
10.0ms	115×	body	160	nan