Details

sample454.0ms

Algorithm

intervals

Results

253.0ms	1458×	body	80	nan
84.0ms	494×	body	80	valid

simplify6.1s

Counts: 1 → 1

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize53.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* y (log z))
0.2b	(* (- t 1.0) (log a))

rewrite352.0ms

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)
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
28.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))

series549.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
103.0ms	(* (- t 1.0) (log a))
44.0ms	(* y (log z))

simplify815.0ms

Counts: 128 → 128

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize84.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.5b	(/ (* 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)
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
8.0ms	(* y (log z))

series691.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

276.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
201.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
47.0ms	(* y (log z))

simplify710.0ms

Counts: 131 → 131

prune2.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
15×	`exp-prod`
9×	`rem-exp-log`
7×	`cbrt-prod`
6×	`diff-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `sub-neg` `times-frac` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 112

Calls

4 calls:

Slowest

152.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series802.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

306.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
151.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts: 124 → 124

prune2.8s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.4b

localize89.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-diff`
24×	`exp-sum`
16×	`add-log-exp`
12×	`unpow-prod-up`
10×	`exp-prod`
7×	`cbrt-prod`
6×	`rem-exp-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `unpow-prod-down` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `exp-diff` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `cbrt-div` `pow-pow` `pow1/3` `div-inv` `pow-sub` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

Slowest

92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
31.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
6.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series978.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

433.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
190.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.4s

Counts: 129 → 129

prune3.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.4b

regimes2.6s

Accuracy

0% (1.3b remaining)

Error of 2.0b against oracle of 0.7b and baseline of 2.0b

bsearch12.0ms

end0.0ms

sample15.2s

Algorithm

intervals

Results

8.1s	45854×	body	80	nan
3.8s	15216×	body	80	valid