Details

sample746.0ms

Algorithm

intervals

Results

523.0ms	1205×	body	80	nan
67.0ms	390×	body	80	valid
6.0ms	3×	body	1280	valid
5.0ms	8×	body	640	valid
3.0ms	8×	body	320	valid
2.0ms	8×	body	160	valid

simplify814.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1299
4	353
3	127
2	58
1	30
0	17

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.9b	(log (- 1.0 z))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

31.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
34.0ms	(* y (- (log z) t))
22.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series708.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
135.0ms	(* y (- (log z) t))
288.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
58.0ms	(log (- 1.0 z))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	2326
1	658
0	254

prune949.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b))))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate--l+`
21×	`add-sqr-sqrt`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+` `log-prod` `*-un-lft-identity`
15×	`add-cube-cbrt`
10×	`associate-+l+` `sub-neg` `associate-r` `associate-*r/`
9×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`frac-add`
3×	`exp-prod`
2×	`sum-log` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

323.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))))
150.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b))))
26.0ms	(* y (- (log z) t))
96.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

354.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))))
252.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b))))
96.0ms	(* y (- (log z) t))
336.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))

simplify879.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2383
1	628
0	239

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.2b	(* (- (log z) t) y)
0.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))
0.8b	(+ (* (- (- (log 1.0) (* 1.0 z)) (+ b (/ (* 1/2 (/ z (/ 1.0 z))) 1.0))) a) (* (- (log z) t) y))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate--l+`
26×	`associate-*l/`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+` `log-prod` `flip3--` `flip--`
16×	`frac-add`
14×	`add-cube-cbrt`
10×	`pow1` `associate-+l+` `sub-neg` `associate-*r/`
9×	`associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log` `frac-sub` `add-log-exp`
6×	`flip3-+` `flip-+`
4×	`distribute-lft-out--`
2×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

20.0ms	(* y (- (log z) t))
21.0ms	(* (- (log z) t) y)
76.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))
108.0ms	(+ (* (- (- (log 1.0) (* 1.0 z)) (+ b (/ (* 1/2 (/ z (/ 1.0 z))) 1.0))) a) (* (- (log z) t) y))

series866.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* y (- (log z) t))
124.0ms	(* (- (log z) t) y)
343.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ (* z z) 1.0) (/ 1/2 1.0))) b)))
281.0ms	(+ (* (- (- (log 1.0) (* 1.0 z)) (+ b (/ (* 1/2 (/ z (/ 1.0 z))) 1.0))) a) (* (- (log z) t) y))

simplify596.0ms

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
1	1182
0	347

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))))
0.5b	(/ (* (pow z y) (pow 1.0 a)) (exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y)))))
0.6b	(+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))
4.6b	(* (* 0.5 a) (* z z))

rewrite648.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`add-log-exp`
17×	`prod-exp`
16×	`pow1`
10×	`div-exp`
9×	`sum-log` `cbrt-unprod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-to-exp` `pow-exp`
4×	`associate-/r*` `times-frac` `rem-exp-log`
3×	`exp-prod` `exp-sum`
2×	`cbrt-undiv`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `flip3-+` `associate-r` `associate-l` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 81

Calls

4 calls:

264.0ms	(exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))))
333.0ms	(/ (* (pow z y) (pow 1.0 a)) (exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y)))))
27.0ms	(+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))
22.0ms	(* (* 0.5 a) (* z z))

series708.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))))
450.0ms	(/ (* (pow z y) (pow 1.0 a)) (exp (+ (* z (* a 1.0)) (+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y)))))
115.0ms	(+ (+ (* a b) (* (* 0.5 a) (* z z))) (* t y))
48.0ms	(* (* 0.5 a) (* z z))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	3153
1	509
0	176

prune663.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes717.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample14.7s

Algorithm

intervals

Results

6.5s	41229×	body	80	nan
2.9s	12528×	body	80	valid
278.0ms	370×	body	640	valid
209.0ms	426×	body	320	valid
108.0ms	79×	body	1280	valid
76.0ms	289×	body	160	valid