Details

sample320.0ms

Algorithm

intervals

Results

144.0ms	1324×	body	80	nan
72.0ms	508×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	189	16
4	514	16
5	1747	16
done	5000	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite362.0ms

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:

24.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
225.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
99.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series616.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- t 1.0) (log a))
63.0ms	(* y (log z))
273.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.6s

Counts

124 → 124

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
0.7b	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
58×	`prod-exp`
39×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt` `add-cbrt-cube`
22×	`unpow-prod-up`
19×	`pow-to-exp` `associate-l` `pow-exp`
18×	`prod-diff`
15×	`unpow-prod-down`
12×	`div-exp`
10×	`associate-r/` `associate-r*` `cbrt-unprod`
9×	`associate-*l/` `unswap-sqr` `sqr-pow`
8×	`pow-sub`
7×	`pow1`
6×	`exp-neg` `associate-/l/`
5×	`pow-unpow`
4×	`cbrt-undiv` `neg-sub0` `expm1-log1p-u` `frac-times` `exp-diff` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`sub-neg` `un-div-inv` `*-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 162

Calls

4 calls:

15.0ms	(pow a (- t 1.0))
81.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
237.0ms	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
47.0ms	(* (pow a (- t 1.0)) (pow z y))

series951.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(pow a (- t 1.0))
258.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
399.0ms	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
188.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify1.9s

Counts

174 → 174

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	298	2938
1	755	2608
2	2673	2225
done	5000	2202

prune802.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log`
12×	`unpow-prod-down`
11×	`unpow-prod-up`
9×	`cbrt-prod` `prod-diff` `prod-exp` `unswap-sqr`
8×	`sqr-pow`
7×	`associate-r`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`sub-neg` `associate-l/` `-commutative` `cbrt-unprod` `pow-sub`

Counts

4 → 94

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
68.0ms	(* (pow a (- t 1.0)) (pow z y))

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt y)
286.0ms	(cbrt y)
240.0ms	(cbrt y)
214.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify3.6s

Counts

106 → 106

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	154	1076
1	333	993
2	1023	902
3	4119	868
done	5001	864

prune691.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.8b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
54×	`associate-l`
40×	`add-exp-log`
36×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
33×	`unpow-prod-up`
27×	`prod-diff` `prod-exp` `unswap-sqr`
24×	`sqr-pow`
21×	`associate-r`
18×	`pow-to-exp` `pow-exp`
10×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `sub-neg` `associate-l/` `-commutative` `cbrt-unprod` `pow-sub`
1×	`pow1/3`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt y)
29.0ms	(* (pow a (- t 1.0)) (pow z y))
36.0ms	(* (pow a (- t 1.0)) (pow z y))
36.0ms	(* (pow a (- t 1.0)) (pow z y))

series821.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt y)
199.0ms	(* (pow a (- t 1.0)) (pow z y))
191.0ms	(* (pow a (- t 1.0)) (pow z y))
159.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify3.7s

Counts

190 → 190

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	154	2660
1	333	2443
2	1023	2218
3	4119	2140
done	5001	2128

prune1.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample12.7s

Algorithm

intervals

Results

6.5s	46319×	body	80	nan
2.8s	15218×	body	80	valid