Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

411×

body

valid

simplify16.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	8
3	76	8
4	208	8
5	519	8
6	1002	8
7	1878	8
8	3155	8
9	4038	8
10	4430	8
11	4930	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- y z) (- t x) x)

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:

0.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify750.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (111.0ms)

Iter	Nodes	Cost
0	25	146
1	49	143
2	113	125
3	277	124
4	1224	123
done	5002	123

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 90

Calls

2 calls:

11.0ms	(+ (* (- y z) (- t x)) x)
19.0ms	(* (- y z) (- t x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (- y z) (- t x)) x)
37.0ms	(* (- y z) (- t x))

simplify750.0ms

Counts

96 → 96

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	166	1609
1	392	1269
2	1340	1108
done	5002	1067

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-cube-cbrt` `add-log-exp`
10×	`associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`fma-def` `distribute-rgt-neg-out`
4×	`expm1-log1p-u` `frac-add` `sum-log` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
2×	`+-commutative` `associate-+l-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+l+`

Counts

4 → 99

Calls

4 calls:

10.0ms	(* (- y z) t)
27.0ms	(+ (+ (* (- y z) t) (* (- y z) (- x))) x)
13.0ms	(* (- y z) (- x))
7.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- y z) t)
47.0ms	(+ (+ (* (- y z) t) (* (- y z) (- x))) x)
26.0ms	(* (- y z) (- x))
44.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

simplify803.0ms

Counts

111 → 111

Iterations

Useful iterations: done (801.0ms)

Iter	Nodes	Cost
0	164	1353
1	482	1057
2	1869	983
done	5000	980

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)) x)
2.6b	(- (* y y) (* z z))
7.2b	(* (- (* y y) (* z z)) (- t x))
22.1b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

29.0ms	(+ (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)) x)
3.0ms	(- (* y y) (* z z))
21.0ms	(* (- (* y y) (* z z)) (- t x))
17.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series241.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)) x)
32.0ms	(- (* y y) (* z z))
45.0ms	(* (- (* y y) (* z z)) (- t x))
63.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify1.1s

Counts

141 → 141

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	226	2746
1	598	2447
2	2602	2148
done	5001	2130

prune315.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample597.0ms

Algorithm

intervals

Results

292.0ms

12285×

body

valid