Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	275×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	118	12
5	169	12
6	225	12
7	282	12
8	357	12
9	455	12
10	564	12
11	639	12
12	702	12
13	730	12
done	730	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
24.0ms	(* 60.0 (- x y))
49.0ms	(/ (* 60.0 (- x y)) (- z t))

series228.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
39.0ms	(* 60.0 (- x y))
79.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify953.0ms

Counts

96 → 96

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	180	1315
1	391	1126
2	1112	934
done	5001	910

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 60.0) (* 60.0 (- y)))
0.0b	(fma 120.0 a (/ (+ (* x 60.0) (* 60.0 (- y))) (- z t)))
0.2b	(/ (+ (* x 60.0) (* 60.0 (- y))) (- z t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
4×	`distribute-rgt-neg-out` `distribute-lft-out--` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `fma-udef` `div-inv`

Counts

3 → 69

Calls

3 calls:

15.0ms	(+ (* x 60.0) (* 60.0 (- y)))
1.0ms	(fma 120.0 a (/ (+ (* x 60.0) (* 60.0 (- y))) (- z t)))
44.0ms	(/ (+ (* x 60.0) (* 60.0 (- y))) (- z t))

series324.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x 60.0) (* 60.0 (- y)))
174.0ms	(fma 120.0 a (/ (+ (* x 60.0) (* 60.0 (- y))) (- z t)))
106.0ms	(/ (+ (* x 60.0) (* 60.0 (- y))) (- z t))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: 3 (941.0ms)

Iter	Nodes	Cost
0	122	1298
1	288	1008
2	984	924
3	4253	916
done	5000	916

prune223.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
24.0ms	(/ (- z t) (- x y))
41.0ms	(/ 60.0 (/ (- z t) (- x y)))

series504.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
61.0ms	(/ (- z t) (- x y))
314.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.5s

Counts

217 → 217

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	294	3708
1	659	3482
2	2338	3352
done	5001	3346

prune764.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
41.0ms	(/ (- x y) (- z t))
75.0ms	(* 60.0 (/ (- x y) (- z t)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
82.0ms	(/ (- x y) (- z t))
101.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify2.3s

Counts

125 → 125

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	164	1547
1	391	1472
2	1056	1362
3	3153	1362
done	5001	1362

prune435.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	19	15
2	23	15
3	24	15
done	24	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

558.0ms	8487×	body	80	valid
33.0ms	17×	body	320	valid
13.0ms	58×	body	1280	valid
6.0ms	35×	body	640	valid
5.0ms	16×	body	2560	valid
2.0ms	12×	body	160	valid
0.0ms	1×	body	5120	valid