Details

sample405.0ms

Algorithm

intervals

Results

190.0ms	1524×	body	80	nan
52.0ms	506×	body	80	valid

simplify838.0ms

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite380.0ms

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))
9.0ms	(* y (log z))
222.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series618.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (- t 1.0) (log a))
59.0ms	(* y (log z))
278.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
178.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify900.0ms

Counts: 107 → 107

prune546.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite805.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

439.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
22.0ms	(* (log (/ 1 a)) t)
30.0ms	(* y (log (/ 1 z)))
293.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
88.0ms	(* (log (/ 1 a)) t)
47.0ms	(* y (log (/ 1 z)))
507.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify648.0ms

Counts: 211 → 211

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.8b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`add-exp-log`
101×	`add-sqr-sqrt`
94×	`associate-r`
81×	`*-un-lft-identity`
80×	`add-cube-cbrt`
69×	`prod-exp`
56×	`div-exp`
55×	`unpow-prod-down`
34×	`add-cbrt-cube`
26×	`log-prod`
20×	`pow-exp`
19×	`pow1`
17×	`exp-sum`
14×	`cbrt-unprod`
13×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-l`
8×	`div-inv` `unswap-sqr`
6×	`cbrt-undiv` `pow-prod-down` `log-pow`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`pow-flip` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-times` `associate-*l/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 236

Calls

4 calls:

478.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
11.0ms	(* (log (/ 1 a)) t)
24.0ms	(* y (log (/ 1 z)))
1.5s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series1.2s

Counts

4 → 12

Calls

4 calls:

554.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
74.0ms	(* (log (/ 1 a)) t)
46.0ms	(* y (log (/ 1 z)))
542.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify623.0ms

Counts: 248 → 248

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.9s

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
60×	`prod-exp`
48×	`div-exp`
25×	`add-cbrt-cube`
16×	`pow-exp`
13×	`associate-r`
12×	`rec-exp` `cbrt-div` `1-exp` `associate-*r/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
9×	`pow1` `times-frac`
5×	`cbrt-undiv`
4×	`frac-times` `pow-to-exp` `associate-*l/` `un-div-inv` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

1.3s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.1s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.1s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.3s	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

series2.9s

Counts

4 → 12

Calls

4 calls:

558.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
817.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
760.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
777.0ms	(cbrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

simplify1.3s

Counts: 117 → 117

prune941.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes340.0ms

Accuracy

-1830.4% (23.1b remaining)

Error of 23.2b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.3s

end0.0ms

sample12.9s

Algorithm

intervals

Results

5.7s	46268×	body	80	nan
2.5s	15326×	body	80	valid