Details

sample187.0ms

Algorithm

intervals

Results

77.0ms	1490×	body	80	nan
30.0ms	505×	body	80	valid

simplify854.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	72	17
3	171	16
4	498	16
5	1941	16
done	5000	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`exp-sum`
19×	`associate-r`
18×	`prod-diff`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`add-log-exp`
9×	`pow1`
6×	`log-prod` `associate-l`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `exp-diff` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `sub-neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `sum-log` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

4.0ms	(* y (log z))
107.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
79.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
34.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series471.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (log z))
150.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
165.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
118.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify794.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	239	2543
1	502	2261
2	1737	1812
done	5000	1812

prune468.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
0.8b	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
7.4b	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

1253×	`times-frac`
533×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
189×	`unpow-prod-down`
129×	`associate-/l*`
128×	`fma-udef`
126×	`exp-sum`
63×	`sqr-pow`
27×	`div-inv`
22×	`add-exp-log`
19×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/l/`

Counts

4 → 608

Calls

4 calls:

0.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
0.0ms	(fma (- (log a)) t b)
37.0ms	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
12.0ms	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

series856.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
82.0ms	(fma (- (log a)) t b)
338.0ms	(/ (/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
352.0ms	(/ (/ x (pow a 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))

simplify917.0ms

Counts

620 → 620

Iterations

Useful iterations: 1 (544.0ms)

Iter	Nodes	Cost
0	1070	22444
1	2490	21673
done	5000	21673

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log a)) t b)
0.3b	(/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.3b	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.2b	(* (/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

2043×	`times-frac`
1046×	`add-sqr-sqrt`
843×	`*-un-lft-identity`
825×	`add-cube-cbrt`
541×	`associate-r`
469×	`sqrt-prod`
273×	`unpow-prod-down`
128×	`add-exp-log`
109×	`fma-udef`
108×	`exp-sum`
99×	`sqr-pow`
83×	`div-exp`
48×	`unswap-sqr`
43×	`add-cbrt-cube`
36×	`div-inv`
28×	`associate-/l*`
25×	`associate-l`
24×	`prod-exp`
20×	`cbrt-undiv`
14×	`associate-/r*`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
8×	`cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 947

Calls

4 calls:

0.0ms	(fma (- (log a)) t b)
4.0ms	(/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
14.0ms	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
326.0ms	(* (/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (- (log a)) t b)
217.0ms	(/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
367.0ms	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
352.0ms	(* (/ x (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

simplify431.0ms

Counts

959 → 959

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	1494	40436
done	5001	40436

prune5.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.3b	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
1.3b	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
1.3b	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

4852×	`times-frac`
2049×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1623×	`cbrt-prod`
1004×	`sqrt-prod`
639×	`unpow-prod-down`
251×	`exp-sum` `fma-udef`
213×	`sqr-pow`
84×	`div-inv`
25×	`associate-/l*`
24×	`add-exp-log`
16×	`div-exp`
9×	`add-cbrt-cube`
7×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `rec-exp` `cbrt-div` `pow1/3` `1-exp` `pow-exp`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 1888

Calls

4 calls:

14.0ms	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
47.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
43.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
47.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

series1.7s

Counts

4 → 12

Calls

4 calls:

362.0ms	(/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
454.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
455.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
461.0ms	(cbrt (/ (/ (/ 1 (pow a 1.0)) (sqrt (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))

simplify1.7s

Counts

1900 → 1900

Iterations

Useful iterations: 1 (1.3s)

Iter	Nodes	Cost
0	1957	92535
1	3595	81825
done	5001	81825

prune4.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes479.0ms

Accuracy

47.8% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	177
1	49	177
done	49	177

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	45653×	body	80	nan
910.0ms	15039×	body	80	valid