Details

Time bar (total: 18.3s)

sample41.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3627
41617
52837
63977
75597
87367
911797
1013797
1114067
done14067

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
46.0ms
(* (+ x y) (- 1.0 z))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (+ x y) (- 1.0 z))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01341028
1374845
21178725
done5000700

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt 1.0) (sqrt z))
0.0b
(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
0.1b
(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
72×prod-diff
70×*-un-lft-identity
66×add-sqr-sqrt
56×add-cube-cbrt
39×distribute-rgt-in distribute-lft-in
32×frac-times
25×flip3-+ flip-+
16×associate-*l/
14×associate-*r*
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×flip3-- flip--
6×fma-def
5×associate-*l* distribute-lft-out add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u log1p-expm1-u
2×sub-neg *-commutative distribute-lft-out--
1×+-commutative sum-log unswap-sqr
Counts
3 → 182
Calls
3 calls:
11.0ms
(+ (sqrt 1.0) (sqrt z))
70.0ms
(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
145.0ms
(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

series573.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (sqrt 1.0) (sqrt z))
141.0ms
(* (+ x y) (+ (sqrt 1.0) (sqrt z)))
387.0ms
(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))

simplify2.9s

Counts
191 → 191
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03236186
19984760
245033816
done50003812

prune557.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))
0.0b
(sqrt (* (+ x y) (- 1.0 z)))
0.0b
(sqrt (* (+ x y) (- 1.0 z)))
0.2b
(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
160×sqrt-div
148×frac-times
63×flip3-- flip3-+ flip-- flip-+
61×pow1
50×associate-*r/ associate-*l/
32×sqrt-pow1
28×add-sqr-sqrt
26×*-un-lft-identity
23×pow-prod-down
22×add-cube-cbrt
18×prod-diff
12×pow1/2
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
9×associate-*r*
8×add-exp-log associate-*l* add-cbrt-cube
6×sqrt-prod pow-sqr
4×expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
2×sub-neg prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 226
Calls
4 calls:
76.0ms
(* (+ x y) (- 1.0 z))
42.0ms
(sqrt (* (+ x y) (- 1.0 z)))
36.0ms
(sqrt (* (+ x y) (- 1.0 z)))
130.0ms
(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ x y) (- 1.0 z))
154.0ms
(sqrt (* (+ x y) (- 1.0 z)))
131.0ms
(sqrt (* (+ x y) (- 1.0 z)))
215.0ms
(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

simplify1.8s

Counts
238 → 238
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03666465
16925374
220615165
done50005097

prune930.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x y) (+ 1.0 z))
3.7b
(- (* x x) (* y y))
4.6b
(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
30.2b
(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×flip3-- flip--
16×frac-times
14×add-sqr-sqrt
12×*-un-lft-identity
9×associate-*l*
8×pow1 add-cube-cbrt associate-*r/ associate-*r* associate-*l/ associate-/r/ associate-/l/
6×flip3-+ prod-exp cbrt-unprod flip-+ add-log-exp
4×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp log1p-expm1-u difference-of-squares
3×sub-neg prod-diff
2×pow-prod-down *-commutative unswap-sqr
1×frac-2neg times-frac fma-neg diff-log clear-num associate-/r* div-inv distribute-lft-out associate-/l* distribute-lft-out--
Counts
4 → 125
Calls
4 calls:
35.0ms
(* (- x y) (+ 1.0 z))
9.0ms
(- (* x x) (* y y))
96.0ms
(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
65.0ms
(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- x y) (+ 1.0 z))
42.0ms
(- (* x x) (* y y))
158.0ms
(* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z)))
318.0ms
(/ (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)))

simplify2.5s

Counts
137 → 137
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
02272902
17502714
241502218
done50002218

prune459.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes148.0ms

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)

IterNodesCost
077
197
done97

end0.0ms

sample858.0ms

Algorithm
intervals
Results
404.0ms10078×body80valid
0.0ms1×body320valid