Details

sample505.0ms

Algorithm

intervals

Results

254.0ms	1530×	body	80	nan
119.0ms	511×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

13.0ms	(* y (log z))
314.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
87.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
199.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series602.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* y (log z))
222.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
149.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
183.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1971
1	536
0	244

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize54.0ms

Local error

Found 4 expressions with local error:

1.9b	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite835.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
15×	`cbrt-div` `exp-diff`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`associate-/l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `associate-/r*` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 72

Calls

4 calls:

284.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
217.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
190.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
142.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

274.0ms	(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
353.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
321.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
359.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1728
1	425
0	165

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize107.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite733.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`exp-sum`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`prod-diff`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `exp-diff` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

111.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
209.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
212.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
200.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series1.2s

Counts

4 → 12

Calls

4 calls:

193.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
306.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
334.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
331.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1065
1	350
0	163

prune1.3s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.7b

localize121.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b	(cbrt (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`unpow-prod-up` `add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `unpow-prod-down` `pow1/3` `associate-*r/`
2×	`exp-diff` `pow-exp` `pow-sub`
1×	`pow-to-exp` `e-exp-1` `sub-neg` `pow-pow` `associate--l+` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

41.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
216.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
213.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
35.0ms	(cbrt (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series1.2s

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
330.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
338.0ms	(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
388.0ms	(cbrt (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify1.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1729
1	502
0	196

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

regimes2.5s

Accuracy

67.9% (0.4b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 2.0b

bsearch572.0ms

Steps

Iters	Range		Point
6	3.4463499137946256e-96	5.282492079374229e-95	1.5224092307552317e-95
5	-9.634928071901872e-129	-3.736279621264133e-129	-9.510975252128596e-129

simplify25.0ms

Iterations

Iter	Nodes
done	73
3	73
2	71
1	67
0	55

end0.0ms

sample15.2s

Algorithm

intervals

Results

8.6s	46140×	body	80	nan
3.2s	15275×	body	80	valid