Details

Time bar (total: 15.8s)

sample24.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
52579
64009
76029
87339
98279
108349
done8349

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.8b
(/ x (* (- y z) (- t z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
67.0ms
(* (- y z) (- t z))
17.0ms
(/ x (* (- y z) (- t z)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y z) (- t z))
139.0ms
(/ x (* (- y z) (- t z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune237.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.5b
(/ (/ x (- y z)) (- t z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
12.0ms
(/ x (- y z))
54.0ms
(/ (/ x (- y z)) (- t z))

series225.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (- y z))
177.0ms
(/ (/ x (- y z)) (- t z))

simplify3.0s

Counts
191 → 191
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.9b
(/ (/ x (cbrt (- y z))) (- t z))
1.1b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
590×times-frac
462×add-sqr-sqrt
431×*-un-lft-identity
235×add-cube-cbrt
178×cbrt-prod
156×associate-*r*
96×distribute-lft-out-- difference-of-squares
87×add-exp-log
38×cbrt-div
36×div-exp
35×add-cbrt-cube
34×associate-/r/
30×prod-exp associate-/l*
21×flip3-- flip--
18×cbrt-undiv
15×associate-*l*
14×div-inv
12×cbrt-unprod unswap-sqr
6×pow1 rec-exp 1-exp
5×frac-times associate-/r*
4×add-log-exp
3×associate-*r/ associate-*l/
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 457
Calls
4 calls:
8.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
40.0ms
(/ (/ x (cbrt (- y z))) (- t z))
247.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- y z))
221.0ms
(cbrt (- y z))
273.0ms
(/ (/ x (cbrt (- y z))) (- t z))
322.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

simplify1.5s

Counts
469 → 469
Iterations

Useful iterations: done (1.5s)

IterNodesCost
056911063
1167710303
done50009595

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* x (/ 1 (- y z)))
2.5b
(/ (* x (/ 1 (- y z))) (- t z))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×prod-exp
6×pow1 cbrt-undiv associate-/r/
4×cbrt-unprod associate-/l*
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
18.0ms
(/ 1 (- y z))
52.0ms
(* x (/ 1 (- y z)))
37.0ms
(/ (* x (/ 1 (- y z))) (- t z))

series214.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- y z))
31.0ms
(* x (/ 1 (- y z)))
146.0ms
(/ (* x (/ 1 (- y z))) (- t z))

simplify2.3s

Counts
127 → 127
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01611360
13761095
2967947
33645947
done5000947

prune291.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes227.0ms

Accuracy

67.7% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01647
12039
done2039

end0.0ms

sample918.0ms

Algorithm
intervals
Results
388.0ms8443×body80valid