Details

sample184.0ms

Algorithm

intervals

Results

65.0ms	1316×	body	80	nan
27.0ms	485×	body	80	valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	8
done	5001	8

prune11.0ms

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

rewrite295.0ms

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:

23.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
181.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series430.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
130.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
198.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	580	1143
1	2309	897
2	5002	860
done	5002	860

prune444.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
74×	`add-sqr-sqrt`
72×	`associate-r`
58×	`*-un-lft-identity`
57×	`add-cube-cbrt`
55×	`unpow-prod-down`
41×	`add-exp-log`
24×	`div-exp`
19×	`fma-udef`
18×	`add-cbrt-cube`
17×	`exp-sum`
14×	`prod-exp`
8×	`pow-exp`
6×	`pow1` `div-inv` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*r/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 153

Calls

4 calls:

55.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
25.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series928.0ms

Counts

4 → 12

Calls

4 calls:

379.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
86.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
83.0ms	(fma (log (/ 1 a)) t b)
379.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify93.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	904	2177
1	4141	1915
2	5001	1905
done	5001	1905

prune767.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
1.0b	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

3407×	`times-frac`
1391×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
832×	`unpow-prod-down`
293×	`associate-/r*`
274×	`fma-udef`
272×	`exp-sum`
86×	`div-inv`
64×	`sqr-pow`
41×	`add-exp-log`
38×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
8×	`pow-exp`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `clear-num`

Counts

4 → 1244

Calls

4 calls:

32.0ms	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
71.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series892.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
88.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
74.0ms	(fma (log (/ 1 a)) t b)
373.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify323.0ms

Counts

1256 → 1256

Iterations

Useful iterations: 1 (77.0ms)

Iter	Nodes	Cost
0	4928	30290
1	5001	30288
done	5001	30288

prune6.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
0.3b	(* (log (/ 1 z)) y)
0.3b	(* (log (/ 1 a)) t)
1.0b	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

rewrite779.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
17×	`prod-exp` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`pow1` `associate-l`
11×	`div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`pow-exp`
6×	`associate-r` `log-pow`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow-to-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `sum-log` `associate-/l*`
2×	`distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

25.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
10.0ms	(* (log (/ 1 z)) y)
11.0ms	(* (log (/ 1 a)) t)
729.0ms	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
63.0ms	(* (log (/ 1 z)) y)
62.0ms	(* (log (/ 1 a)) t)
368.0ms	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

simplify63.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	570	1056
1	2223	884
2	5002	860
done	5002	860

prune433.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes220.0ms

Accuracy

63.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 1.2b

bsearch124.0ms

Steps

Iters	Range		Point
9	2.452778789580981e-183	2.937420359618918e-178	2.0310778362127112e-178

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	50
1	45	50
done	45	50

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	45874×	body	80	nan
880.0ms	15242×	body	80	valid