Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	276×	body	80	nan
18.0ms	256×	body	80	valid

simplify958.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (236.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	108	32
3	387	32
4	1604	31
done	5001	31

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.3b	(/ (/ 2.0 t) 3.0)
1.1b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.1b	(/ (* z (sqrt (+ t a))) t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
7×	`associate-r`
6×	`pow1` `associate-/r*` `div-inv`
5×	`cbrt-undiv` `div-exp` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l/`
2×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `fma-udef` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

25.0ms	(* z (sqrt (+ t a)))
11.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
15.0ms	(/ (* z (sqrt (+ t a))) t)

series507.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (sqrt (+ t a)))
17.0ms	(/ (/ 2.0 t) 3.0)
344.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
84.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.1s

Counts

146 → 146

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	319	1876
1	740	1756
2	1982	1622
done	5001	1602

prune753.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (/ 5.0 6.0))
0.3b	(* z (sqrt (+ t a)))
1.1b	(fma (- (/ 0.6666666666666666 t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.1b	(/ (* z (sqrt (+ t a))) t)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

14.0ms	(+ a (/ 5.0 6.0))
23.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (- (/ 0.6666666666666666 t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
15.0ms	(/ (* z (sqrt (+ t a))) t)

series345.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ a (/ 5.0 6.0))
63.0ms	(* z (sqrt (+ t a)))
188.0ms	(fma (- (/ 0.6666666666666666 t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
77.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.0s

Counts

91 → 91

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	198	1117
1	491	1042
2	1436	932
done	5001	912

prune417.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma c 0.8333333333333334 (* a (- c b)))
0.0b	(* a (- c b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

0.0ms	(fma c 0.8333333333333334 (* a (- c b)))
22.0ms	(* a (- c b))

series79.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma c 0.8333333333333334 (* a (- c b)))
40.0ms	(* a (- c b))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	117	865
1	216	686
2	471	557
3	1984	515
done	5000	461

prune142.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (2.2b remaining)

Error of 2.8b against oracle of 0.6b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	29
1	28	29
done	28	29

end0.0ms

sample2.0s

Algorithm

intervals

Results

557.0ms	8000×	body	80	valid
515.0ms	7940×	body	80	nan