Details

Time bar (total: 12.0s)

sample42.0ms

Algorithm
intervals
Results
18.0ms313×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
33911
45811
57311
68711
710211
810811
911011
done11011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
12.0ms
(/ t (- 1.0 z))
205.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ t (- 1.0 z))
86.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify771.0ms

Counts
75 → 75
Iterations

Useful iterations: done (767.0ms)

IterNodesCost
0155927
1379885
21311831
done5000815

prune263.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.9b
(/ 1 (/ (- 1.0 z) t))
4.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
138×add-sqr-sqrt
114×*-un-lft-identity
71×add-cube-cbrt
26×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
7×div-inv
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg rec-exp flip3-- frac-2neg distribute-lft-in 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp associate-/r/ *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 176
Calls
3 calls:
18.0ms
(/ (- 1.0 z) t)
18.0ms
(/ 1 (/ (- 1.0 z) t))
383.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series156.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- 1.0 z) t)
54.0ms
(/ 1 (/ (- 1.0 z) t))
62.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.3s

Counts
185 → 185
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02872658
18012303
235532201
done50001968

prune592.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (- (/ y z) (/ t (- 1.0 z))) x)
8.6b
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
8.6b
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
8.6b
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))

rewrite444.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*l/
10×associate-*l*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*r*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
207.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)
84.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
86.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
65.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))

series1.0s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)
338.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
320.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))
335.0ms
(cbrt (* (- (/ y z) (/ t (- 1.0 z))) x))

simplify735.0ms

Counts
76 → 76
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
01371426
13111396
210151279
done50001212

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.9b
(* (+ (/ 1.0 z) 1) (/ (* t x) z))
4.6b
(/ (* x y) z)
5.2b
(/ (* t x) z)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×times-frac
7×associate-*r*
6×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod
5×pow1
4×associate-*l*
3×div-inv add-log-exp
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+ associate-/l*
1×associate-*r/ pow-prod-down *-commutative distribute-lft-out unswap-sqr
Counts
3 → 74
Calls
3 calls:
105.0ms
(* (+ (/ 1.0 z) 1) (/ (* t x) z))
10.0ms
(/ (* x y) z)
22.0ms
(/ (* t x) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (+ (/ 1.0 z) 1) (/ (* t x) z))
26.0ms
(/ (* x y) z)
23.0ms
(/ (* t x) z)

simplify1.9s

Counts
83 → 83
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0135941
1413905
22998773
done5000769

prune300.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

93.3% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 4.8b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
040125
152125
done52125

end0.0ms

sample1.5s

Algorithm
intervals
Results
987.0ms10108×body80valid