Details

sample456.0ms

Algorithm

intervals

Results

226.0ms	1351×	body	80	nan
109.0ms	477×	body	80	valid

simplify7.0s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize65.0ms

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))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `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 → 116

Calls

4 calls:

Slowest

207.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
94.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
34.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))

series544.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
142.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(* (- t 1.0) (log a))
65.0ms	(* y (log z))

simplify832.0ms

Counts: 128 → 128

prune2.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`exp-sum` `add-cube-cbrt`
18×	`prod-diff`
16×	`add-log-exp`
15×	`add-cbrt-cube` `add-exp-log`
10×	`exp-prod`
7×	`pow1`
6×	`log-prod` `exp-diff` `rem-exp-log`
4×	`expm1-log1p-u` `sqrt-div` `diff-log` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `times-frac` `div-exp` `associate-l*` `associate-/l/`
2×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

Slowest

1.4s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
14.0ms	(* y (log z))

series659.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
194.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
55.0ms	(* y (log z))

simplify772.0ms

Counts: 131 → 131

prune2.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (* (sqrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
0.3b	(* y (log z))

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
16×	`add-exp-log`
15×	`add-cbrt-cube`
12×	`unpow-prod-up` `exp-sum`
10×	`add-log-exp`
8×	`pow1`
6×	`log-prod`
5×	`pow-unpow` `exp-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `unpow-prod-down` `distribute-lft-in` `times-frac` `exp-diff` `div-exp` `associate-l*` `pow-sub` `rem-exp-log` `associate-/l/`
2×	`sub-neg` `diff-log` `pow-exp` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `pow-to-exp` `e-exp-1` `clear-num` `sum-log` `pow-pow` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

Slowest

541.0ms	(/ (* x (* (sqrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
34.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
13.0ms	(* y (log z))

series910.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

500.0ms	(/ (* x (* (sqrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
191.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
47.0ms	(* y (log z))

simplify1.1s

Counts: 136 → 136

prune3.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.6b

localize101.0ms

Local error

Found 4 expressions with local error:

1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`unpow-prod-up` `prod-diff`
35×	`add-cube-cbrt`
15×	`pow-unpow`
12×	`exp-sum`
10×	`add-log-exp`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log`
6×	`pow-exp`
5×	`exp-prod`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `associate--l+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-to-exp` `e-exp-1` `pow-pow` `pow-sub` `sqr-pow` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `exp-diff`

Counts

4 → 139

Calls

4 calls:

Slowest

452.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
89.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
42.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series693.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts: 151 → 151

prune4.4s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 0.5b

regimes3.7s

Accuracy

0% (1.3b remaining)

Error of 1.8b against oracle of 0.5b and baseline of 1.8b

bsearch14.0ms

end0.0ms

sample14.8s

Algorithm

intervals

Results

8.3s	45300×	body	80	nan
3.5s	15159×	body	80	valid