Details

sample198.0ms

Algorithm

intervals

Results

48.0ms	55×	body	1280	valid
37.0ms	42×	body	10240	exit
25.0ms	50×	body	640	valid
20.0ms	12×	body	160	valid
11.0ms	110×	body	80	valid
8.0ms	27×	body	320	valid
7.0ms	4×	body	2560	valid
6.0ms	83×	body	80	nan
2.0ms	3×	body	1280	nan
2.0ms	7×	body	640	nan
2.0ms	8×	body	320	nan
0.0ms	2×	body	160	nan

simplify4.7s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize20.0ms

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))))
2.7b	(+ (- 1.0 y) (* y (exp z)))

rewrite176.0ms

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:

14.0ms	(* y (exp z))
61.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
33.0ms	(log (+ (- 1.0 y) (* y (exp z))))
66.0ms	(+ (- 1.0 y) (* y (exp z)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (exp z))
200.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
96.0ms	(log (+ (- 1.0 y) (* y (exp z))))
52.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify781.0ms

Counts: 92 → 92

prune389.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.3b

localize32.0ms

Local error

Found 4 expressions with local error:

4.4b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.5b	(/ (* (pow z 2) y) t)
5.2b	(/ (* z y) t)
9.3b	(* (pow z 2) y)

rewrite124.0ms

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:

80.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
12.0ms	(/ (* (pow z 2) y) t)
10.0ms	(/ (* z y) t)
20.0ms	(* (pow z 2) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
27.0ms	(/ (* (pow z 2) y) t)
27.0ms	(/ (* z y) t)
20.0ms	(* (pow z 2) y)

simplify1.1s

Counts: 99 → 99

prune422.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.4b	(+ (* 1.0 (/ z (/ t y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.5b	(/ (* (pow z 2) y) t)
4.7b	(/ z (/ t y))
9.3b	(* (pow z 2) y)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
16×	`associate-/r*` `add-cbrt-cube`
9×	`add-log-exp`
8×	`associate-l`
7×	`div-exp`
6×	`prod-exp` `div-inv`
5×	`cbrt-undiv`
4×	`pow1` `unpow-prod-down` `associate-r/` `frac-add` `associate-/l` `unswap-sqr`
3×	`associate-r` `sum-log`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `associate-/r/` `*-commutative`

Counts

4 → 136

Calls

4 calls:

59.0ms	(+ (* 1.0 (/ z (/ t y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
12.0ms	(/ (* (pow z 2) y) t)
9.0ms	(/ z (/ t y))
29.0ms	(* (pow z 2) y)

series196.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (* 1.0 (/ z (/ t y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
25.0ms	(/ (* (pow z 2) y) t)
25.0ms	(/ z (/ t y))
28.0ms	(* (pow z 2) y)

simplify1.3s

Counts: 148 → 148

prune727.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))
4.4b	(+ (* 1.0 (* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.5b	(/ (* (pow z 2) y) t)
9.3b	(* (pow z 2) y)

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

52.0ms	(* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))
199.0ms	(+ (* 1.0 (* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
22.0ms	(/ (* (pow z 2) y) t)
12.0ms	(* (pow z 2) y)

series289.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))
173.0ms	(+ (* 1.0 (* (/ (pow (cbrt z) 2) t) (* (cbrt z) y))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
21.0ms	(/ (* (pow z 2) y) t)
20.0ms	(* (pow z 2) y)

simplify1.4s

Counts: 139 → 139

prune879.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

regimes656.0ms

Accuracy

69.7% (5.1b remaining)

Error of 8.9b against oracle of 3.8b and baseline of 20.7b

bsearch331.0ms

Steps

Iters	Range		Point
7	3.459576543018505e-65	6.15691036727833e-64	9.714808507513085e-65
9	-1.1777090512008311e-107	-1.8479529859982433e-115	-1.0915240818186182e-107
6	-972332460921.3269	-136573714169.9019	-138694822893.63608

simplify752.0ms

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.6s	1411×	body	1280	valid
1.4s	1476×	body	10240	exit
879.0ms	1628×	body	640	valid
836.0ms	3516×	body	80	valid
397.0ms	908×	body	320	valid
269.0ms	2504×	body	80	nan
211.0ms	90×	body	2560	valid
133.0ms	269×	body	640	nan
82.0ms	465×	body	160	valid
49.0ms	103×	body	1280	nan
45.0ms	199×	body	320	nan
16.0ms	115×	body	160	nan