Details

sample569.0ms

Algorithm

intervals

Results

278.0ms	1520×	body	80	nan
66.0ms	463×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	196	16
4	600	16
5	3258	16
done	5001	16

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite632.0ms

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:

56.0ms	(* (- t 1.0) (log a))
19.0ms	(* y (log z))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
393.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series761.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (- t 1.0) (log a))
73.0ms	(* y (log z))
242.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
332.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.1s

Counts

124 → 124

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	275	2031
1	622	1832
2	2424	1517
done	5001	1431

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
6.8b	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ y x))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

1133×	`times-frac`
477×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
183×	`unpow-prod-down`
108×	`fma-udef`
106×	`exp-sum`
61×	`sqr-pow`
49×	`div-inv`
39×	`associate-/l*`
24×	`add-exp-log`
21×	`div-exp`
18×	`add-cbrt-cube`
17×	`associate-/r*`
9×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`neg-sub0` `pow-neg` `associate-/r/` `pow-sub`

Counts

4 → 564

Calls

4 calls:

24.0ms	(/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))
1.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms	(fma (- (log a)) t b)
57.0ms	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ y x))

series1.5s

Counts

4 → 12

Calls

4 calls:

400.0ms	(/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))
145.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
149.0ms	(fma (- (log a)) t b)
778.0ms	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ y x))

simplify2.3s

Counts

576 → 576

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	1022	23311
1	3431	22478
done	5001	22114

prune7.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
0.5b	(* (/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y) x)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
199×	`add-sqr-sqrt`
183×	`add-cube-cbrt` `*-un-lft-identity`
100×	`associate-l`
85×	`unpow-prod-down`
51×	`fma-udef`
49×	`exp-sum`
32×	`associate-/l*`
29×	`sqr-pow`
24×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`div-exp`
9×	`div-inv`
6×	`pow1` `cbrt-undiv`
5×	`prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/r*` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 298

Calls

4 calls:

39.0ms	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
1.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms	(fma (- (log a)) t b)
112.0ms	(* (/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

488.0ms	(/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y)
160.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
144.0ms	(fma (- (log a)) t b)
792.0ms	(* (/ (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) y) x)

simplify1.6s

Counts

310 → 310

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	522	8759
1	1359	8548
done	5001	8203

prune4.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y))
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
0.5b	(* (* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y)) x)

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
62×	`add-sqr-sqrt`
54×	`times-frac`
49×	`prod-exp`
40×	`div-exp`
34×	`add-cbrt-cube`
33×	`associate-l`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
16×	`associate-r`
15×	`unpow-prod-down`
13×	`cbrt-unprod`
12×	`unswap-sqr`
11×	`pow1`
9×	`fma-udef`
8×	`cbrt-undiv` `pow-to-exp` `rec-exp` `1-exp` `pow-exp`
7×	`exp-sum` `sqr-pow`
6×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 154

Calls

4 calls:

77.0ms	(* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y))
1.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms	(fma (- (log a)) t b)
131.0ms	(* (* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y)) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

528.0ms	(* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y))
153.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
153.0ms	(fma (- (log a)) t b)
789.0ms	(* (* (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))) (/ 1 y)) x)

simplify817.0ms

Counts

166 → 166

Iterations

Useful iterations: done (807.0ms)

Iter	Nodes	Cost
0	304	4297
1	878	4103
done	5000	3285

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	21
1	20	21
done	20	21

end0.0ms

sample17.3s

Algorithm

intervals

Results

9.1s	44890×	body	80	nan
2.4s	15075×	body	80	valid
0.0ms	1×	body	160	valid