Details

Time bar (total: 22.7s)

sample25.0ms

Algorithm
intervals
Results
11.0ms306×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (382.0ms)

IterNodesCost
01213
12213
24613
310913
423213
536413
648513
764811
8108111
9245111
done500111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
0.0b
(/ (- x z) y)

rewrite84.0ms

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/
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
47.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
27.0ms
(/ (- x z) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
46.0ms
(/ (- x z) y)

simplify1.7s

Counts
55 → 55
Iterations

Useful iterations: 3 (734.0ms)

IterNodesCost
0105660
1255628
2691586
32481574
done5001574

prune174.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
32.0ms
(* (/ (- x z) y) 4.0)
25.0ms
(/ (- x z) y)

series115.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (/ (- x z) y) 4.0)
49.0ms
(/ (- x z) y)

simplify2.7s

Counts
82 → 82
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0115813
1277775
2787711
33051711
done5000711

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ 1 (/ y (- x z))) 4.0)
0.0b
(/ y (- x z))
0.5b
(/ 1 (/ y (- x z)))

rewrite175.0ms

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:
98.0ms
(* (/ 1 (/ y (- x z))) 4.0)
23.0ms
(/ y (- x z))
39.0ms
(/ 1 (/ y (- x z)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* (/ 1 (/ y (- x z))) 4.0)
56.0ms
(/ y (- x z))
47.0ms
(/ 1 (/ y (- x z)))

simplify3.9s

Counts
250 → 250
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
02953282
16742682
213802401
344512349
done50012349

prune662.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (/ 1 y) (/ 1 (- x z))) 4.0)
0.0b
(/ 1 (- x z))
0.4b
(/ (/ 1 y) (/ 1 (- x z)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
1374×times-frac
764×add-sqr-sqrt
735×*-un-lft-identity
559×add-cube-cbrt
278×associate-*l*
105×add-exp-log
85×distribute-lft-out-- difference-of-squares
73×div-inv
66×div-exp
58×associate-/r/
35×add-cbrt-cube
28×flip3-- flip--
26×associate-/r*
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*r* add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 703
Calls
3 calls:
192.0ms
(* (/ (/ 1 y) (/ 1 (- x z))) 4.0)
16.0ms
(/ 1 (- x z))
36.0ms
(/ (/ 1 y) (/ 1 (- x z)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (/ (/ 1 y) (/ 1 (- x z))) 4.0)
51.0ms
(/ 1 (- x z))
60.0ms
(/ (/ 1 y) (/ 1 (- x z)))

simplify3.1s

Counts
712 → 712
Iterations

Useful iterations: done (3.1s)

IterNodesCost
076412734
121209601
236688077
done50007919

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.3s

Algorithm
intervals
Results
792.0ms10143×body80valid