Details

sample381.0ms

Algorithm

intervals

Results

206.0ms	1396×	body	80	nan
75.0ms	489×	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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite292.0ms

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:

16.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
185.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series514.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (- t 1.0) (log a))
55.0ms	(* y (log z))
152.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
234.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.4s

Counts

111 → 111

Iterations

Iter	Nodes
3	5360
2	1404
1	516
0	237

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
3×	`associate-/r*` `sum-log` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 93

Calls

4 calls:

71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
96.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
99.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
778.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series791.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
197.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
251.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.1s

Counts

105 → 105

Iterations

Iter	Nodes
3	5392
2	1251
1	397
0	161

prune2.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize100.0ms

Local error

Found 4 expressions with local error:

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

rewrite820.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`exp-prod` `exp-diff` `associate-*r/` `add-cube-cbrt`
7×	`associate-/l/`
6×	`exp-sum` `prod-exp` `cbrt-unprod` `rem-exp-log`
5×	`frac-times` `pow1` `pow-unpow` `associate-*l/` `pow-sub`
4×	`cbrt-undiv` `diff-log` `div-exp` `insert-posit16`
3×	`unpow-prod-up` `associate-/r*` `sub-neg` `unpow-prod-down` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `clear-num` `pow-pow` `frac-2neg` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
26.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
599.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series994.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
209.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
407.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.1s

Counts

110 → 110

Iterations

Iter	Nodes
3	5694
2	1613
1	508
0	199

prune2.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize122.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
37×	`exp-diff`
36×	`cbrt-div`
34×	`add-cbrt-cube`
30×	`associate-*r/`
21×	`associate-/l/`
18×	`prod-exp` `cbrt-unprod`
15×	`frac-times` `associate-*l/`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-undiv` `div-exp`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac`
5×	`exp-prod`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `exp-sum` `div-inv` `associate-/l*` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

89.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
811.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
691.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
673.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series851.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
226.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
215.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
224.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.0s

Counts

131 → 131

Iterations

Iter	Nodes
3	5392
2	1251
1	397
0	161

prune3.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.7b

regimes2.6s

Accuracy

0% (1.3b remaining)

Error of 1.9b against oracle of 0.6b and baseline of 1.9b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
2	40
1	40
0	32

end0.0ms

sample16.0s

Algorithm

intervals

Results

8.7s	47140×	body	80	nan
3.8s	15368×	body	80	valid