Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

357×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	110	8
5	162	8
6	210	8
7	249	8
8	495	8
9	1411	8
done	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(fma (/ x y) (- z t) t)

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	283	123
4	2198	123
done	5000	123

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ x y) (- z t) t))
1.7b	(fma (/ x y) (- z t) t)
1.7b	(fma (/ x y) (- z t) t)
1.7b	(fma (/ x y) (- z t) t)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ x y) (- z t) t))
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series365.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (fma (/ x y) (- z t) t))
39.0ms	(fma (/ x y) (- z t) t)
37.0ms	(fma (/ x y) (- z t) t)
41.0ms	(fma (/ x y) (- z t) t)

simplify771.0ms

Counts

55 → 55

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	60	683
1	118	678
2	286	611
3	1131	559
done	5001	550

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b	(fma (/ x y) (- z t) t)
1.7b	(fma (/ x y) (- z t) t)
1.7b	(fma (/ x y) (- z t) t)
1.7b	(fma (/ x y) (- z t) t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series173.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (/ x y) (- z t) t)
46.0ms	(fma (/ x y) (- z t) t)
39.0ms	(fma (/ x y) (- z t) t)
49.0ms	(fma (/ x y) (- z t) t)

simplify1.9s

Counts

52 → 52

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	91	552
3	283	492
4	2198	492
done	5000	492

prune240.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- z t) y) x) t)
0.0b	(/ (- z t) y)
5.2b	(* (/ (- z t) y) x)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

21.0ms	(+ (* (/ (- z t) y) x) t)
21.0ms	(/ (- z t) y)
42.0ms	(* (/ (- z t) y) x)

series178.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* (/ (- z t) y) x) t)
43.0ms	(/ (- z t) y)
84.0ms	(* (/ (- z t) y) x)

simplify964.0ms

Counts

103 → 103

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	144	1081
1	367	1022
2	1535	962
done	5001	953

prune283.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

9.9% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch152.0ms

Steps

Iters	Range		Point
8	-2.801889466383081e-303	-1.0345672052037073e-307	-5.330647358840706e-307
8	-1.7860205002943532e+77	-9.029039785599943e+73	-4.8763260456976e+75

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	37
1	25	30
done	25	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

574.0ms

10661×

body

valid