Details

sample445.0ms

Algorithm

intervals

Results

241.0ms	1350×	body	80	nan
112.0ms	449×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	7660
5	1421
4	477
3	179
2	71
1	33
0	17

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize36.0ms

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)

rewrite363.0ms

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` `insert-posit16` `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 → 116

Calls

4 calls:

17.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
100.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series591.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (- t 1.0) (log a))
67.0ms	(* y (log z))
168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
253.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify4.5s

Counts

128 → 128

Iterations

Iter	Nodes
3	5841
2	1598
1	597
0	281

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize105.0ms

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)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
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 → 128

Calls

4 calls:

123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
929.0ms	(/ (* 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)

series742.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
249.0ms	(/ (* 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

140 → 140

Iterations

Iter	Nodes
3	5773
2	1433
1	466
0	201

prune2.8s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

localize77.0ms

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)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-div`
83×	`exp-diff`
58×	`associate-*r/`
49×	`frac-times`
36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`associate-*l/` `associate-/l/`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod`
14×	`add-cbrt-cube`
9×	`rem-exp-log`
6×	`diff-log` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
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 → 152

Calls

4 calls:

60.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
61.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2s	(/ (* 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)

series569.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
201.0ms	(/ (* 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)

simplify2.9s

Counts

164 → 164

Iterations

Iter	Nodes
3	5342
2	1610
1	526
0	222

prune3.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.6b

localize98.0ms

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 (expm1 (log1p (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))))))) y)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
36×	`exp-sum`
35×	`exp-diff`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
26×	`associate-*r/`
23×	`associate-*l/`
22×	`add-log-exp`
18×	`add-exp-log`
17×	`frac-times`
15×	`exp-prod` `associate-/l/`
14×	`add-cbrt-cube`
9×	`rem-exp-log`
6×	`diff-log` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
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 → 136

Calls

4 calls:

87.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1s	(/ (* 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 (expm1 (log1p (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))))))) y)

series852.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
152.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
443.0ms	(/ (* 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 (expm1 (log1p (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))))))) y)

simplify4.4s

Counts

148 → 148

Iterations

Iter	Nodes
3	7770
2	1781
1	537
0	217

prune3.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.6b

regimes3.1s

Accuracy

74.1% (0.3b remaining)

Error of 1.0b against oracle of 0.7b and baseline of 1.9b

bsearch638.0ms

Steps

Iters	Range		Point
6	1.1448730966581484e-54	5.2177658252519487e-54	1.6941150942617612e-54
8	-150870766561.04422	-174401518.16351077	-1687797526.6185596

simplify50.0ms

Iterations

Iter	Nodes
2	58
1	58
0	50

end0.0ms

sample15.1s

Algorithm

intervals

Results

8.2s	45332×	body	80	nan
2.9s	15189×	body	80	valid