Details

sample149.0ms

Algorithm

intervals

Results

36.0ms	53×	body	1280	valid
31.0ms	45×	body	10240	exit
18.0ms	46×	body	640	valid
11.0ms	118×	body	80	valid
7.0ms	22×	body	320	valid
5.0ms	87×	body	80	nan
3.0ms	2×	body	2560	valid
3.0ms	16×	body	160	valid
2.0ms	8×	body	640	nan
2.0ms	8×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	1×	body	160	nan

simplify4.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(log (+ (- 1.0 y) (* y (exp z))))
3.8b	(+ (- 1.0 y) (* y (exp z)))

rewrite124.0ms

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:

12.0ms	(* y (exp z))
58.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
20.0ms	(log (+ (- 1.0 y) (* y (exp z))))
30.0ms	(+ (- 1.0 y) (* y (exp z)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (exp z))
262.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
104.0ms	(log (+ (- 1.0 y) (* y (exp z))))
38.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify872.0ms

Counts: 92 → 92

prune374.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.7b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.5b	(/ (* z y) t)
6.8b	(* (pow z 2) y)
7.5b	(/ (* (pow z 2) y) t)

rewrite129.0ms

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:

70.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
17.0ms	(/ (* z y) t)
27.0ms	(* (pow z 2) y)
12.0ms	(/ (* (pow z 2) y) t)

series191.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
29.0ms	(/ (* z y) t)
27.0ms	(* (pow z 2) y)
28.0ms	(/ (* (pow z 2) y) t)

simplify1.0s

Counts: 99 → 99

prune357.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize20.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.6b	(* (* z y) (/ 1 t))
6.8b	(* (pow z 2) y)
7.5b	(/ (* (pow z 2) y) t)

rewrite224.0ms

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:

142.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
36.0ms	(* (* z y) (/ 1 t))
26.0ms	(* (pow z 2) y)
14.0ms	(/ (* (pow z 2) y) t)

series178.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(* (* z y) (/ 1 t))
25.0ms	(* (pow z 2) y)
30.0ms	(/ (* (pow z 2) y) t)

simplify1.2s

Counts: 119 → 119

prune514.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize54.0ms

Local error

Found 4 expressions with local error:

3.9b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
4.6b	(* (* z y) (/ 1 t))
5.4b	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
6.8b	(* (pow z 2) y)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

109.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
40.0ms	(* (* z y) (/ 1 t))
26.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
20.0ms	(* (pow z 2) y)

series372.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (/ (* (pow z 2) y) (* (cbrt t) (cbrt t))) (cbrt t)))))
30.0ms	(* (* z y) (/ 1 t))
179.0ms	(/ (* (pow z 2) y) (* (cbrt t) (cbrt t)))
21.0ms	(* (pow z 2) y)

simplify1.4s

Counts: 121 → 121

prune467.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

regimes795.0ms

Accuracy

71.6% (4.8b remaining)

Error of 8.7b against oracle of 3.9b and baseline of 20.8b

bsearch289.0ms

Steps

Iters	Range		Point
8	-6.168000502091713e-129	-5.254110368435344e-132	-5.451768184159253e-129
9	-271.7980636346438	-0.0001661741731362623	-0.0001686418545870752

simplify2.3s

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.3s	1546×	body	10240	exit
1.4s	1450×	body	1280	valid
761.0ms	1557×	body	640	valid
424.0ms	3572×	body	80	valid
313.0ms	909×	body	320	valid
297.0ms	2543×	body	80	nan
139.0ms	76×	body	2560	valid
89.0ms	269×	body	640	nan
85.0ms	476×	body	160	valid
78.0ms	194×	body	320	nan
77.0ms	93×	body	1280	nan
19.0ms	127×	body	160	nan