Details

sample301.0ms

Algorithm

intervals

Results

121.0ms	1531×	body	80	nan
63.0ms	508×	body	80	valid

simplify45.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

24.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
194.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series427.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
129.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
194.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify50.0ms

Counts: 107 → 107

prune379.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`log-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cbrt-cube`
16×	`div-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
10×	`add-log-exp`
9×	`associate-r` `associate-l` `prod-exp`
6×	`log-pow`
4×	`cbrt-undiv` `pow-exp` `cbrt-unprod`
3×	`exp-prod` `associate-/r*` `sum-log` `div-inv` `rem-exp-log`
2×	`pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `exp-sum` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 113

Calls

4 calls:

81.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
14.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
213.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series575.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
40.0ms	(* y (log (/ 1 z)))
68.0ms	(* (log (/ 1 a)) t)
368.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify65.0ms

Counts: 125 → 125

prune466.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite812.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
48×	`div-exp`
31×	`add-cbrt-cube`
21×	`prod-exp`
12×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `pow-exp`
9×	`associate-/r*`
7×	`cbrt-prod`
6×	`cbrt-unprod`
4×	`pow1` `div-inv` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `clear-num` `associate-/l/` `associate-/l`
1×	`cbrt-div` `pow1/3`

Counts

4 → 103

Calls

4 calls:

195.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
205.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
203.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
205.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.6s

Counts

4 → 12

Calls

4 calls:

506.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
370.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
357.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
370.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify52.0ms

Counts: 115 → 115

prune651.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
1.7b	(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

rewrite802.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
32×	`div-exp`
22×	`add-cbrt-cube`
14×	`prod-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`cbrt-undiv` `cbrt-prod` `pow-exp`
6×	`associate-/r*`
4×	`pow1` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`pow-to-exp` `rec-exp` `cbrt-div` `frac-2neg` `pow1/3` `1-exp` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 84

Calls

4 calls:

192.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
205.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
205.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
196.0ms	(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

510.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))
371.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
376.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
507.0ms	(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

simplify56.0ms

Counts: 96 → 96

prune659.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample10.0s

Algorithm

intervals

Results

5.2s	45604×	body	80	nan
1.5s	15427×	body	80	valid