Details

Time bar (total: 11.5s)

sample29.0ms

Algorithm
intervals
Results
13.0ms319×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 7 (783.0ms)

IterNodesCost
01213
12213
24613
311013
425413
544913
688813
7354411
done500011

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+l+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
39.0ms
(/ (- x z) y)
66.0ms
(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)

series88.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- x z) y)
46.0ms
(+ (* 4.0 (+ (/ (- x z) y) 0.75)) 1.0)

simplify680.0ms

Counts
57 → 57
Iterations

Useful iterations: done (677.0ms)

IterNodesCost
0108670
1269646
2958604
done5000584

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(* (/ (- x z) y) 4.0)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
16.0ms
(/ (- x z) y)
38.0ms
(* (/ (- x z) y) 4.0)

series92.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- x z) y)
55.0ms
(* (/ (- x z) y) 4.0)

simplify1.2s

Counts
82 → 82
Iterations

Useful iterations: 2 (598.0ms)

IterNodesCost
0115813
1287775
21224711
done5000711

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x y) (/ z y))
0.0b
(* (- (/ x y) (/ z y)) 4.0)

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×*-un-lft-identity
20×times-frac
12×associate-*l*
8×add-cube-cbrt distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*l/ add-cbrt-cube div-inv add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 54
Calls
2 calls:
49.0ms
(- (/ x y) (/ z y))
150.0ms
(* (- (/ x y) (/ z y)) 4.0)

series92.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (/ x y) (/ z y))
50.0ms
(* (- (/ x y) (/ z y)) 4.0)

simplify552.0ms

Counts
60 → 60
Iterations

Useful iterations: done (550.0ms)

IterNodesCost
092704
1205690
2639638
done5000636

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x z))
0.0b
(* (/ 1 (/ y (- x z))) 4.0)
0.6b
(/ 1 (/ y (- x z)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
185×add-sqr-sqrt
173×*-un-lft-identity
121×add-cube-cbrt
68×associate-*l*
35×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 241
Calls
3 calls:
23.0ms
(/ y (- x z))
111.0ms
(* (/ 1 (/ y (- x z))) 4.0)
19.0ms
(/ 1 (/ y (- x z)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (- x z))
69.0ms
(* (/ 1 (/ y (- x z))) 4.0)
51.0ms
(/ 1 (/ y (- x z)))

simplify2.8s

Counts
250 → 250
Iterations

Useful iterations: 2 (882.0ms)

IterNodesCost
02953282
18252846
246052546
done50002546

prune818.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
done1613

end0.0ms

sample1.2s

Algorithm
intervals
Results
707.0ms10194×body80valid