Details

sample183.0ms

Algorithm

intervals

Results

74.0ms	1464×	body	80	nan
32.0ms	483×	body	80	valid

simplify749.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	72	17
3	171	16
4	498	16
5	1929	16
done	5000	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
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×	`times-frac` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series385.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify573.0ms

Counts

124 → 124

Iterations

Useful iterations: done (569.0ms)

Iter	Nodes	Cost
0	275	2031
1	577	1829
2	1640	1513
done	5001	1498

prune412.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.3b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`unpow-prod-up` `log-prod`
11×	`pow1`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
5×	`pow-unpow` `div-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `times-frac` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `pow-sub` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-pow` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `flip--` `div-inv` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

13.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
12.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
12.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series416.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
126.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
191.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify675.0ms

Counts

132 → 132

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	294	2364
1	671	2072
2	1862	1827
done	5001	1814

prune477.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (log a)) (- 1.0 t))
0.3b	(* y (- (log z)))
0.4b	(/ x (/ y (exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))))
1.1b	(exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

834×	`times-frac`
611×	`associate--l+`
564×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
556×	`add-cube-cbrt`
468×	`exp-sum`
382×	`prod-diff`
157×	`distribute-rgt-in` `distribute-lft-in`
122×	`associate-/r*`
54×	`sub-neg`
17×	`associate-r`
15×	`associate-l`
13×	`add-cbrt-cube`
12×	`pow1` `add-exp-log`
10×	`add-log-exp`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`log-prod` `distribute-neg-in`
5×	`exp-prod` `exp-diff` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u`
3×	`cbrt-undiv` `diff-log` `div-exp` `rem-exp-log` `associate-/l*`
2×	`neg-mul-1` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-out` `flip3--` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `flip--`

Counts

4 → 654

Calls

4 calls:

15.0ms	(* (- (log a)) (- 1.0 t))
7.0ms	(* y (- (log z)))
135.0ms	(/ x (/ y (exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))))
85.0ms	(exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))

series499.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (- (log a)) (- 1.0 t))
40.0ms	(* y (- (log z)))
196.0ms	(/ x (/ y (exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))))
153.0ms	(exp (- (- (* (- (log a)) (- 1.0 t)) (* y (- (log z)))) b))

simplify938.0ms

Counts

666 → 666

Iterations

Useful iterations: done (902.0ms)

Iter	Nodes	Cost
0	1147	24943
1	2334	20278
done	5000	20074

prune2.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(expm1 (log1p (/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)))
1.3b	(pow E (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.8b	(/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`add-exp-log`
18×	`add-cube-cbrt`
12×	`unpow-prod-up`
11×	`add-cbrt-cube`
9×	`prod-diff`
8×	`pow1`
6×	`log-prod`
5×	`pow-unpow` `div-exp` `associate-l` `prod-exp`
4×	`expm1-log1p-u` `associate-r` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `times-frac` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `cbrt-unprod` `distribute-lft-out--` `pow-sub` `difference-of-squares`
1×	`sub-neg` `expm1-log1p` `flip3--` `pow-pow` `frac-2neg` `pow-prod-down` `associate--l+` `clear-num` `log-pow` `-commutative` `flip--` `fma-udef` `div-inv` `associate-/l/` `associate-/l` `expm1-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 104

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
0.0ms	(expm1 (log1p (/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)))
4.0ms	(pow E (- (fma y (log z) (* (- t 1.0) (log a))) b))
6.0ms	(/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)

series714.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
261.0ms	(expm1 (log1p (/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)))
125.0ms	(pow E (- (fma y (log z) (* (- t 1.0) (log a))) b))
264.0ms	(/ (* (pow E (- (fma y (log z) (* (- t 1.0) (log a))) b)) x) y)

simplify706.0ms

Counts

116 → 116

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	275	2378
1	640	2147
2	1827	1873
done	5001	1864

prune445.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes487.0ms

Accuracy

22.6% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 5.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	32	74
1	41	55
2	43	55
done	43	55

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	44542×	body	80	nan
922.0ms	15166×	body	80	valid