Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	246×	body	80	valid
2.0ms	10×	body	1280	valid
2.0ms	18×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	7×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.3b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.2b	(* (- y z) (/ (- t x) (- a z)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

47.0ms	(/ (- t x) (- a z))
16.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
87.0ms	(* (- y z) (/ (- t x) (- a z)))

series516.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (- t x) (- a z))
236.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
195.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify699.0ms

Counts: 128 → 128

prune477.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- t x) (/ 1 (- a z)))
4.3b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
5.2b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`*-un-lft-identity`
22×	`associate-r`
20×	`frac-times`
17×	`times-frac` `add-cbrt-cube`
16×	`flip3--` `flip--`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1` `associate-r/` `associate-l` `associate-l/`
7×	`cbrt-unprod`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

3 → 105

Calls

3 calls:

59.0ms	(* (- t x) (/ 1 (- a z)))
13.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
107.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series536.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (- t x) (/ 1 (- a z)))
262.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
178.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify1.1s

Counts: 114 → 114

prune476.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.3b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.2b	(* (- y z) (/ (- t x) (- a z)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

36.0ms	(/ (- t x) (- a z))
10.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
85.0ms	(* (- y z) (/ (- t x) (- a z)))

series514.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (- t x) (- a z))
235.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
185.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify803.0ms

Counts: 128 → 128

prune447.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
5.2b	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
9.9b	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

82×	`frac-times`
76×	`cbrt-div`
56×	`flip3--` `flip--`
38×	`associate-*l/`
32×	`associate-*r/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-l`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 121

Calls

4 calls:

9.0ms	(cbrt (- t x))
8.0ms	(cbrt (- t x))
398.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
14.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series938.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (- t x))
268.0ms	(cbrt (- t x))
190.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
264.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify1.6s

Counts: 133 → 133

prune795.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.4b

regimes528.0ms

Accuracy

-45% (15.5b remaining)

Error of 19.5b against oracle of 4.0b and baseline of 14.7b

bsearch3.0ms

simplify589.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

976.0ms	7828×	body	80	valid
104.0ms	279×	body	1280	valid
95.0ms	462×	body	640	valid
69.0ms	413×	body	320	valid
61.0ms	268×	body	160	valid
4.0ms	13×	body	2560	valid