Details

sample369.0ms

Algorithm

intervals

Results

199.0ms	1512×	body	80	nan
50.0ms	504×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1717
4	477
3	179
2	71
1	33
0	17

prune21.0ms

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

rewrite321.0ms

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:

19.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
186.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series567.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
285.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1943
1	621
0	277

prune995.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`associate-r`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`times-frac`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1`
6×	`log-prod` `associate-l`
5×	`fma-udef` `add-log-exp`
4×	`expm1-log1p-u` `exp-sum` `log1p-expm1-u`
3×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*r/` `log-pow` `div-inv` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma (- t 1.0) (log a) (- (* y (log z)) b))
11.0ms	(* y (log z))
23.0ms	(* x (/ (exp (fma (- t 1.0) (log a) (- (* y (log z)) b))) y))
2.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(fma (- t 1.0) (log a) (- (* y (log z)) b))
53.0ms	(* y (log z))
251.0ms	(* x (/ (exp (fma (- t 1.0) (log a) (- (* y (log z)) b))) y))
179.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1402
1	497
0	206

prune999.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize131.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`exp-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`cbrt-prod` `exp-sum` `fma-udef` `rem-exp-log`
1×	`pow1/3`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
2.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
2.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt y)
187.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
145.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
156.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

simplify1.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	1439
2	490
1	203
0	94

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize135.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
0.8b	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`exp-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`cbrt-prod` `exp-sum` `fma-udef` `rem-exp-log`
1×	`pow1/3`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
3.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
3.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt y)
152.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
155.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))
168.0ms	(exp (fma (- t 1.0) (log a) (- (* y (log z)) b)))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	1439
2	490
1	203
0	94

prune710.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.5b

regimes2.6s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.0s	46117×	body	80	nan
2.6s	15346×	body	80	valid