Details

sample366.0ms

Algorithm

intervals

Results

190.0ms	1204×	body	80	nan
99.0ms	450×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	7990
5	1486
4	460
3	167
2	63
1	32
0	17

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `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 → 99

Calls

4 calls:

32.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
199.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series570.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
260.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.2s

Counts

111 → 111

Iterations

Iter	Nodes
3	5360
2	1404
1	516
0	237

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
85×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
77×	`add-cube-cbrt`
39×	`exp-sum`
23×	`associate-/r*`
13×	`sub-neg` `add-cbrt-cube` `associate--l+`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod` `exp-diff` `associate-/r/` `div-inv`
4×	`insert-posit16`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `rem-exp-log`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `frac-2neg` `flip3--` `flip--`

Counts

4 → 187

Calls

4 calls:

20.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
127.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
269.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify2.8s

Counts

199 → 199

Iterations

Iter	Nodes
2	2854
1	912
0	395

prune3.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
69.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series858.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt x)
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
209.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
210.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.9s

Counts

84 → 84

Iterations

Iter	Nodes
4	6599
3	1506
2	491
1	209
0	102

prune2.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.7b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
9×	`add-cube-cbrt`
6×	`exp-sum` `rem-exp-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `diff-log` `insert-posit16`
3×	`cbrt-prod` `unpow-prod-up` `sub-neg` `unpow-prod-down` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `exp-diff` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `pow-sub` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt x)
26.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
69.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series785.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt x)
175.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify863.0ms

Counts

89 → 89

Iterations

Iter	Nodes
3	2243
2	730
1	293
0	134

prune2.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.6b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	44
1	44
0	36

end0.0ms

sample16.5s

Algorithm

intervals

Results

8.1s	45438×	body	80	nan
3.9s	15106×	body	80	valid