Details

sample498.0ms

Algorithm

intervals

Results

297.0ms	1350×	body	80	nan
93.0ms	449×	body	80	valid

simplify4.9s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

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))
11.0ms	(* y (log z))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
228.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series589.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
63.0ms	(* y (log z))
196.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
244.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.9s

Counts

111 → 111

Iterations

Iter	Nodes
3	5360
2	1404
1	516
0	237

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite821.0ms

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:

55.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
64.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
620.0ms	(/ (* 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)

series662.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
158.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
129.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
214.0ms	(/ (* 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)

simplify3.3s

Counts

105 → 105

Iterations

Iter	Nodes
3	5392
2	1251
1	397
0	161

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize100.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-div`
83×	`exp-diff`
58×	`associate-*r/`
49×	`frac-times`
31×	`associate-*l/` `associate-/l/`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
6×	`diff-log` `prod-exp` `cbrt-unprod`
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 → 117

Calls

4 calls:

81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
110.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3s	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* (* (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)

series670.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
133.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
232.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* (* (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)

simplify2.5s

Counts

129 → 129

Iterations

Iter	Nodes
3	4747
2	1460
1	460
0	182

prune2.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt y)
313.0ms	(cbrt y)
202.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
392.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))

simplify4.0s

Counts

79 → 79

Iterations

Iter	Nodes
3	8044
2	1381
1	398
0	154

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.6b

regimes2.5s

Accuracy

75.5% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 1.9b

bsearch2.0ms

Steps

Iters	Range		Point
0	-19.86672971720196	-19.74285963590738	-19.80479467655467

simplify8.0ms

Iterations

Iter	Nodes
2	37
1	37
0	32

end0.0ms

sample15.5s

Algorithm

intervals

Results

8.3s	45332×	body	80	nan
3.7s	15189×	body	80	valid