Details

sample381.0ms

Algorithm

intervals

Results

162.0ms	1338×	body	80	nan
67.0ms	474×	body	80	valid

simplify75.0ms

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite784.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

365.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
18.0ms	(* y (log z))
98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
298.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series763.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
59.0ms	(* y (log z))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
242.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify40.0ms

Counts: 100 → 100

prune496.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
2.8b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
2.8b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
2.8b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
15×	`cbrt-div` `exp-diff`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 60

Calls

4 calls:

294.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
261.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
291.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
637.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series1.4s

Counts

4 → 12

Calls

4 calls:

317.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
332.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
386.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
387.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify63.0ms

Counts: 72 → 72

prune644.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (cbrt x) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
2.8b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
2.8b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
17×	`associate-*r/`
15×	`exp-diff`
14×	`cbrt-div`
11×	`add-cbrt-cube`
10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt` `associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `exp-prod` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`times-frac` `exp-sum` `associate-/r*` `rem-exp-log`
2×	`cbrt-prod` `pow1/3` `diff-log`
1×	`sub-neg` `frac-2neg` `associate--l+` `clear-num` `sum-log` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

118.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
616.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (cbrt x) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
260.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
295.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

215.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
380.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (* (cbrt x) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
371.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
362.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify87.0ms

Counts: 83 → 83

prune881.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
5.2b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite659.0ms

Algorithm

rewrite-expression-head

Rules

3067×	`times-frac`
1238×	`add-sqr-sqrt`
1234×	`add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
239×	`exp-sum`
146×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
43×	`add-exp-log`
37×	`div-exp`
26×	`log-prod`
20×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*`
12×	`pow1`
10×	`add-log-exp`
9×	`associate-r` `associate-l`
8×	`cbrt-undiv` `pow-exp`
6×	`log-pow`
3×	`exp-prod` `sum-log` `rem-exp-log`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `log-rec` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 1135

Calls

4 calls:

111.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
23.0ms	(* (log (/ 1 a)) t)
35.0ms	(* y (log (/ 1 z)))
327.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series1.1s

Counts

4 → 12

Calls

4 calls:

117.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
110.0ms	(* (log (/ 1 a)) t)
43.0ms	(* y (log (/ 1 z)))
803.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify367.0ms

Counts: 1147 → 1147

prune8.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes357.0ms

Accuracy

-1493.2% (23.0b remaining)

Error of 23.0b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify82.0ms

end0.0ms

sample12.5s

Algorithm

intervals

Results

6.0s	45670×	body	80	nan
2.3s	15349×	body	80	valid