Details

sample365.0ms

Algorithm

intervals

Results

200.0ms	1487×	body	80	nan
51.0ms	494×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite323.0ms

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:

33.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
75.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
202.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series629.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- t 1.0) (log a))
48.0ms	(* y (log z))
183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
312.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.3b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log a) (- t 1.0) (- (* (log z) y) b))
0.3b	(* (log z) y)
1.0b	(/ x (/ y (exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))))
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
14×	`fma-udef`
13×	`exp-sum`
11×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`pow1`
5×	`div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cbrt-undiv` `exp-prod` `div-exp` `associate-r` `associate-/l*`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `associate-/r/` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 129

Calls

4 calls:

0.0ms	(fma (log a) (- t 1.0) (- (* (log z) y) b))
6.0ms	(* (log z) y)
16.0ms	(/ x (/ y (exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))))
3.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma (log a) (- t 1.0) (- (* (log z) y) b))
79.0ms	(* (log z) y)
293.0ms	(/ x (/ y (exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))))
221.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

simplify1.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	3113
1	738
0	290

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.2b

localize159.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

rewrite13.0ms

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 (log a) (- t 1.0) (- (* (log z) y) b)))
3.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
4.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
185.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
208.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
216.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))

simplify1.9s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	1928
2	526
1	204
0	94

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.1b

localize193.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
1.2b	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
1.3b	(pow E (fma (log a) (- t 1.0) (- (* (log z) y) b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`exp-prod` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `fma-udef`
2×	`exp-sum` `pow-exp` `rem-exp-log`
1×	`pow-to-exp` `unpow-prod-up` `e-exp-1` `pow-pow` `pow1/3` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
3.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
4.0ms	(pow E (fma (log a) (- t 1.0) (- (* (log z) y) b)))

series973.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt y)
205.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
245.0ms	(exp (fma (log a) (- t 1.0) (- (* (log z) y) b)))
270.0ms	(pow E (fma (log a) (- t 1.0) (- (* (log z) y) b)))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	937
1	289
0	123

prune869.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 1.0b

regimes3.8s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample12.4s

Algorithm

intervals

Results

6.7s	44753×	body	80	nan
2.5s	15112×	body	80	valid