Details

sample213.0ms

Algorithm

intervals

Results

57.0ms	64×	body	10240	exit
41.0ms	46×	body	1280	valid
22.0ms	42×	body	640	valid
17.0ms	67×	body	80	nan
13.0ms	36×	body	320	valid
13.0ms	116×	body	80	valid
7.0ms	2×	body	2560	valid
3.0ms	16×	body	160	valid
2.0ms	5×	body	1280	nan
2.0ms	4×	body	640	nan
1.0ms	5×	body	320	nan

simplify4.9s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
3.0b	(+ (- 1.0 y) (* y (exp z)))

rewrite221.0ms

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:

18.0ms	(* y (exp z))
71.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
41.0ms	(log (+ (- 1.0 y) (* y (exp z))))
88.0ms	(+ (- 1.0 y) (* y (exp z)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (exp z))
228.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
107.0ms	(log (+ (- 1.0 y) (* y (exp z))))
45.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify710.0ms

Counts: 92 → 92

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.6b

localize24.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* z y) t)
4.3b	(/ (* (pow z 2) y) t)
5.4b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
8.3b	(* (pow z 2) y)

rewrite128.0ms

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:

15.0ms	(/ (* z y) t)
12.0ms	(/ (* (pow z 2) y) t)
83.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
13.0ms	(* (pow z 2) y)

series196.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* z y) t)
24.0ms	(/ (* (pow z 2) y) t)
111.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
24.0ms	(* (pow z 2) y)

simplify1.0s

Counts: 99 → 99

prune479.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize26.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* z y) (/ 1 t))
4.3b	(/ (* (pow z 2) y) t)
5.4b	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
8.3b	(* (pow z 2) y)

rewrite274.0ms

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:

25.0ms	(* (* z y) (/ 1 t))
25.0ms	(/ (* (pow z 2) y) t)
196.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
24.0ms	(* (pow z 2) y)

series192.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* z y) (/ 1 t))
39.0ms	(/ (* (pow z 2) y) t)
111.0ms	(+ (* 1.0 (* (* z y) (/ 1 t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(* (pow z 2) y)

simplify1.8s

Counts: 119 → 119

prune462.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.3b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* z y) t)
4.3b	(/ (* (pow z 2) y) t)
5.4b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
8.3b	(* (pow z 2) y)

rewrite144.0ms

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:

17.0ms	(/ (* z y) t)
22.0ms	(/ (* (pow z 2) y) t)
90.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
13.0ms	(* (pow z 2) y)

series246.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* z y) t)
38.0ms	(/ (* (pow z 2) y) t)
146.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
25.0ms	(* (pow z 2) y)

simplify1.2s

Counts: 99 → 99

prune437.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.3b

regimes753.0ms

Accuracy

68.7% (5.3b remaining)

Error of 9.2b against oracle of 3.9b and baseline of 20.8b

bsearch132.0ms

Steps

Iters	Range		Point
3	7.544041607401692e-201	9.31230911199721e-201	9.201792392959989e-201
6	-1.185218886639806e-16	-7.781475254185234e-18	-1.0279259376196081e-16

simplify1.9s

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.4s	1516×	body	10240	exit
1.4s	1463×	body	1280	valid
846.0ms	1551×	body	640	valid
443.0ms	3505×	body	80	valid
321.0ms	939×	body	320	valid
159.0ms	2411×	body	80	nan
156.0ms	84×	body	2560	valid
96.0ms	489×	body	160	valid
84.0ms	257×	body	640	nan
60.0ms	189×	body	320	nan
54.0ms	88×	body	160	nan
53.0ms	114×	body	1280	nan