Details

sample509.0ms

Algorithm

intervals

Results

304.0ms	1351×	body	80	nan
99.0ms	477×	body	80	valid

simplify7.0s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize37.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* y (log z))
0.2b	(* (- t 1.0) (log a))

rewrite316.0ms

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

183.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
103.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))

series553.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

262.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
73.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))

simplify680.0ms

Counts: 111 → 111

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.0b

localize64.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
0.8b	(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
0.3b	(* (log (/ 1 z)) y)
0.3b	(* t (log (/ 1 a)))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
43×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
30×	`exp-sum`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
14×	`add-log-exp`
13×	`add-cbrt-cube`
12×	`pow1` `add-exp-log`
9×	`associate-r` `associate-l`
6×	`log-pow`
5×	`div-inv`
4×	`log-rec` `insert-posit16` `rem-exp-log`
3×	`exp-prod` `associate-/r*` `sum-log` `diff-log` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`cbrt-undiv` `associate-+r-` `exp-diff` `div-exp` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate--r-` `unswap-sqr`
1×	`distribute-lft-neg-out` `clear-num` `sub-neg` `frac-2neg` `unsub-neg` `associate-r/` `associate-/l` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

Slowest

275.0ms	(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
81.0ms	(exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
19.0ms	(* t (log (/ 1 a)))
16.0ms	(* (log (/ 1 z)) y)

series679.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

281.0ms	(/ (* x (exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))) y)
214.0ms	(exp (- (* 1.0 (log (/ 1 a))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
112.0ms	(* (log (/ 1 z)) y)
71.0ms	(* t (log (/ 1 a)))

simplify1.0s

Counts: 153 → 153

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize137.0ms

Local error

Found 4 expressions with local error:

5.0b	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
0.8b	(exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
0.8b	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)
0.6b	(cbrt (/ 1 a))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
38×	`exp-sum`
34×	`log-prod`
32×	`associate--l+`
30×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-log-exp`
13×	`add-cbrt-cube`
11×	`add-exp-log`
5×	`rem-exp-log`
4×	`pow1` `exp-prod` `insert-posit16` `div-inv`
3×	`cbrt-undiv` `associate-/r*` `sum-log` `diff-log` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-+r-` `exp-diff` `log-rec` `associate-*r/` `distribute-rgt-neg-out` `associate--r-`
1×	`cbrt-div` `clear-num` `sub-neg` `frac-2neg` `exp-to-pow` `pow1/3` `unsub-neg` `associate-/l*` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

Slowest

903.0ms	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)
110.0ms	(exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
11.0ms	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
1.0ms	(cbrt (/ 1 a))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

658.0ms	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)
552.0ms	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
283.0ms	(cbrt (/ 1 a))
222.0ms	(exp (- (* 1.0 (log (cbrt (/ 1 a)))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))

simplify1.4s

Counts: 125 → 125

prune3.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize102.0ms

Local error

Found 4 expressions with local error:

5.0b	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
4.9b	(pow a -1/3)
0.8b	(exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
0.8b	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

20×	`exp-sum`
16×	`log-prod` `add-log-exp`
14×	`associate--l+`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
12×	`add-exp-log`
9×	`unpow-prod-down`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `rem-exp-log`
4×	`exp-prod` `insert-posit16`
3×	`cbrt-undiv` `pow-unpow` `associate-/r*` `sum-log` `times-frac` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-+r-` `exp-diff` `log-rec` `associate-*r/` `distribute-rgt-neg-out` `associate--r-`
1×	`pow-to-exp` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `exp-to-pow` `unsub-neg` `pow-exp` `div-inv` `associate-/l*` `associate-/l/`

Counts

4 → 90

Calls

4 calls:

Slowest

940.0ms	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)
83.0ms	(exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))
5.0ms	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
2.0ms	(pow a -1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

664.0ms	(/ (* x (* (exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))))) (exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a))))))))) y)
461.0ms	(exp (* 1.0 (log (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))))
229.0ms	(pow a -1/3)
227.0ms	(exp (- (* 1.0 (log (pow a -1/3))) (+ (* (log (/ 1 z)) y) (+ b (* t (log (/ 1 a)))))))

simplify1.4s

Counts: 102 → 102

prune2.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

regimes2.4s

Accuracy

0% (1.6b remaining)

Error of 1.8b against oracle of 0.2b and baseline of 1.8b

bsearch14.0ms

end0.0ms

sample14.0s

Algorithm

intervals

Results

8.2s	45300×	body	80	nan
2.8s	15159×	body	80	valid