Details

sample471.0ms

Algorithm

intervals

Results

157.0ms	1521×	body	80	nan
105.0ms	485×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

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)

rewrite421.0ms

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:

37.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
120.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
245.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series612.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- t 1.0) (log a))
50.0ms	(* y (log z))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
295.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.6b

localize108.0ms

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)

rewrite753.0ms

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:

61.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
240.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
244.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
205.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series894.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
242.0ms	(/ (* 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)

simplify1.8s

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

localize193.0ms

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)

rewrite838.0ms

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:

206.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
190.0ms	(/ (* 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)
231.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

236.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
262.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
334.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
237.0ms	(/ (* 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

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.6b

localize248.0ms

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)

rewrite830.0ms

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:

215.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
217.0ms	(/ (* 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)
185.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

258.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
698.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
243.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
257.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1193
1	284
0	110

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

regimes2.5s

Accuracy

8.1% (1.2b remaining)

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

bsearch811.0ms

Steps

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

simplify35.0ms

Iterations

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

end0.0ms

sample12.8s

Algorithm

intervals

Results

4.5s	45456×	body	80	nan
1.8s	15204×	body	80	valid