Details

sample522.0ms

Algorithm

intervals

Results

272.0ms	1610×	body	80	nan
92.0ms	482×	body	80	valid

simplify218.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

218.0ms

(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize49.0ms

Local error

Found 4 expressions with local error:

1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.2b	(* y (log z))
0.1b	(* (- t 1.0) (log a))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

Slowest

175.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
24.0ms	(* (- t 1.0) (log a))
6.0ms	(* y (log z))

series585.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

268.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(* (- t 1.0) (log a))
65.0ms	(* y (log z))

simplify17.1s

Counts

128 → 111

Calls

128 calls:

Slowest

817.0ms	(/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (cbrt y))
644.0ms	(* (* (* (- t 1.0) (log a)) (* (- t 1.0) (log a))) (* (- t 1.0) (log a)))
617.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
541.0ms	(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
522.0ms	(/ (* (* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (* y y) y))

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize67.0ms

Local error

Found 4 expressions with local error:

1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
0.2b	(* y (log z))
0.1b	(* (- t 1.0) (log a))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
30×	`associate-r`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`times-frac`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod` `exp-sum` `add-exp-log`
11×	`associate-l`
10×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`sub-neg` `prod-exp` `associate--l+` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `rem-exp-log`
2×	`diff-log` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `sum-log` `flip3--` `exp-diff` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

Slowest

214.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
25.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))

series538.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
154.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(* (- t 1.0) (log a))
65.0ms	(* y (log z))

simplify22.3s

Counts

144 → 130

Calls

144 calls:

Slowest

717.0ms	(* (* (* (- t 1.0) (- t 1.0)) (- t 1.0)) (* (* (log a) (log a)) (log a)))
669.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
662.0ms	(* (* (* (- t 1.0) (log a)) (* (- t 1.0) (log a))) (* (- t 1.0) (log a)))
642.0ms	(* x (/ (exp (+ (* y (log z)) (* (- t 1.0) (log a)))) 1))
587.0ms	(* x (/ (exp (* y (log z))) 1))

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize76.0ms

Local error

Found 4 expressions with local error:

1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b	(cbrt y)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

Slowest

84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
64.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0ms	(cbrt y)

series817.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

316.0ms	(cbrt y)
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
153.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify15.6s

Counts

89 → 84

Calls

89 calls:

Slowest

666.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
653.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
562.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
513.0ms	(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))
510.0ms	(+ (* t (* (log a) (exp (- (* 1.0 (log a)))))) (+ (exp (- (* 1.0 (log a)))) (* (log z) (* (exp (- (* 1.0 (log a)))) y))))

prune2.0s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.8b

localize80.0ms

Local error

Found 4 expressions with local error:

1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.6b	(cbrt (cbrt y))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity`
9×	`cbrt-prod` `exp-sum` `add-cube-cbrt` `rem-exp-log`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 75

Calls

4 calls:

Slowest

109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
104.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0ms	(cbrt (cbrt y))

series901.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

382.0ms	(cbrt (cbrt y))
198.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify16.7s

Counts

95 → 87

Calls

95 calls:

Slowest

709.0ms	(* (pow (cbrt -1) 1/3) (pow (* y -1) 1/9))
702.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
660.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
650.0ms	(* (* (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
605.0ms	(cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))

prune2.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 0.7b

regimes2.8s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch6.0ms

end0.0ms

sample16.7s

Algorithm

intervals

Results

9.0s	47278×	body	80	nan
4.3s	15451×	body	80	valid