Details

sample429.0ms

Algorithm

intervals

Results

175.0ms	1521×	body	80	nan
71.0ms	485×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3079
4	563
3	190
2	73
1	33
0	17

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite284.0ms

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` `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 → 112

Calls

4 calls:

36.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
64.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series629.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (- t 1.0) (log a))
70.0ms	(* y (log z))
194.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
262.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune989.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.6b

localize100.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite669.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
17×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`exp-sum`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac` `prod-diff`
6×	`cbrt-undiv` `div-exp`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `exp-diff` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `associate-/l` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

99.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
192.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series811.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
192.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
219.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1503
1	401
0	174

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize235.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite638.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube`
20×	`add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `exp-diff` `prod-exp` `associate-r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp` `associate-/l/`

Counts

4 → 96

Calls

4 calls:

149.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
136.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
138.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
213.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series981.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
274.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
241.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
233.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1193
1	284
0	110

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.6b

localize213.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube`
20×	`add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `exp-diff` `prod-exp` `associate-r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp` `associate-/l/`

Counts

4 → 96

Calls

4 calls:

158.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
209.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
183.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
155.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series850.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
230.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1193
1	284
0	110

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.6b

regimes2.6s

Accuracy

8.2% (1.2b remaining)

Error of 1.9b against oracle of 0.7b and baseline of 2.0b

bsearch1.0s

Steps

Iters	Range		Point
10	3.6735823116612524e+85	1.0065470425620452e+98	2.216452260359168e+86
8	-1.4720818240991487e+43	-8.259909428119404e+38	-1.3196752283182967e+41

simplify27.0ms

Iterations

Iter	Nodes
done	62
3	62
2	60
1	56
0	45

end0.0ms

sample14.3s

Algorithm

intervals

Results

6.9s	45456×	body	80	nan
2.6s	15204×	body	80	valid