Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	267×	body	80	valid
8.0ms	2×	body	320	valid
1.0ms	1×	body	5120	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2641
9	759
8	397
7	286
6	243
5	169
4	109
3	62
2	37
1	22
0	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.8b	(/ (* 60.0 (- x y)) (- z t))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

35.0ms	(* 60.0 (- x y))
43.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
31.0ms	(/ (* 60.0 (- x y)) (- z t))

series342.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 60.0 (- x y))
191.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
113.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify988.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1512
1	385
0	138

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

28.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
34.0ms	(/ (- x y) (- z t))
61.0ms	(* 60.0 (/ (- x y) (- z t)))

series359.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
63.0ms	(/ (- x y) (- z t))
81.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify992.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1874
1	473
0	170

prune962.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite184.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 205

Calls

3 calls:

126.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
24.0ms	(/ (- z t) (- x y))
24.0ms	(/ 60.0 (/ (- z t) (- x y)))

series735.0ms

Counts

3 → 9

Calls

3 calls:

260.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
72.0ms	(/ (- z t) (- x y))
403.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.5s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	4261
1	828
0	300

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))) (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))))
0.6b	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
0.6b	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
0.6b	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

178.0ms	(* (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))) (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))))
20.0ms	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
21.0ms	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
14.0ms	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))

series8.4s

Counts

4 → 12

Calls

4 calls:

4.6s	(* (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))) (cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a))))
1.2s	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
1.2s	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))
1.3s	(cbrt (+ (* (- x y) (/ 60.0 (- z t))) (* 120.0 a)))

simplify723.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1003
1	298
0	126

prune756.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

710.0ms	8540×	body	80	valid
37.0ms	42×	body	1280	valid
10.0ms	27×	body	2560	valid
8.0ms	30×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	5×	body	160	valid