Details

Time bar (total: 29.3s)

sample75.0ms

Algorithm
intervals
Results
18.0ms244×body80valid
14.0ms11×body1280valid
5.0ms18×body640valid
2.0ms9×body320valid
2.0ms11×body160valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12313
24413
312213
433413
597613
6403513
done500013

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.3b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.3b
(* (- y z) (/ (- t x) (- a z)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
47.0ms
(/ (- t x) (- a z))
16.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
127.0ms
(* (- y z) (/ (- t x) (- a z)))

series659.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (- t x) (- a z))
303.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
266.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify2.3s

Counts
128 → 128
Iterations

Useful iterations: 2 (491.0ms)

IterNodesCost
01831813
15001716
226721606
done50021606

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.7b
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))
7.4b
(+ x (* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))

rewrite861.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
686×add-sqr-sqrt
600×*-un-lft-identity
487×cbrt-prod
374×associate-*l*
270×add-cube-cbrt
165×distribute-lft-out-- difference-of-squares
46×associate-*r*
25×add-exp-log
24×cbrt-div
21×unswap-sqr
20×associate-/r/
16×add-cbrt-cube
12×flip3-- flip--
10×div-inv
9×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod add-log-exp
2×pow1/3
1×+-commutative frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 506
Calls
4 calls:
8.0ms
(cbrt (- a z))
8.0ms
(cbrt (- a z))
727.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))
16.0ms
(+ x (* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (- a z))
287.0ms
(cbrt (- a z))
589.0ms
(* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))
336.0ms
(+ x (* (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))

simplify1.3s

Counts
518 → 518
Iterations

Useful iterations: done (1.2s)

IterNodesCost
052412813
1172412646
done500012300

prune4.9s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.5b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
2.1b
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
6.2b
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
270×add-exp-log
133×div-exp
105×prod-exp
90×add-cbrt-cube
71×cbrt-undiv
59×cbrt-unprod
48×times-frac
34×associate-*l*
30×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
21×1-exp
19×cbrt-prod
9×pow1
6×add-log-exp
5×frac-times associate-*r/
4×cbrt-div div-inv
3×pow-prod-down associate-*l/
2×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 170
Calls
4 calls:
9.0ms
(cbrt (- y z))
8.0ms
(cbrt (- y z))
539.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
33.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (- y z))
290.0ms
(cbrt (- y z))
621.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
338.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify1.5s

Counts
182 → 182
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03347724
111626656
done50004978

prune1.4s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 4.5b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.7b
(pow (cbrt (- y z)) 3)
2.1b
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
6.2b
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite918.0ms

Algorithm
rewrite-expression-head
Rules
271×add-exp-log
133×div-exp
105×prod-exp
90×add-cbrt-cube
71×cbrt-undiv
59×cbrt-unprod
48×times-frac
36×add-sqr-sqrt *-un-lft-identity
34×associate-*l*
30×add-cube-cbrt
24×cbrt-prod
21×1-exp
10×pow1
8×unpow-prod-down cube-prod
6×add-log-exp
5×frac-times associate-*r/
4×cbrt-div div-inv
3×pow-unpow pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
2×cube-div flip3-- pow-pow pow1/3 flip--
1×+-commutative cube-mult pow-to-exp flip3-+ unpow3 associate-*r* pow-exp sum-log *-commutative flip-+ rem-cube-cbrt sqr-pow
Counts
4 → 191
Calls
4 calls:
7.0ms
(cbrt (- y z))
17.0ms
(pow (cbrt (- y z)) 3)
855.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
18.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt (- y z))
235.0ms
(pow (cbrt (- y z)) 3)
576.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z)))))
306.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt 1)) 1) (* (/ (/ (cbrt (pow (cbrt (- y z)) 3)) (cbrt (- a z))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify1.1s

Counts
203 → 203
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03728540
113956747
done50014932

prune1.5s

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 4.5b

regimes1.3s

Accuracy

48.5% (4.5b remaining)

Error of 8.9b against oracle of 4.4b and baseline of 13.1b

bsearch5.0ms

simplify10.0ms

Iterations

Useful iterations: done (9.0ms)

IterNodesCost
040109
152106
done52104

end0.0ms

sample1.9s

Algorithm
intervals
Results
784.0ms7718×body80valid
128.0ms286×body1280valid
124.0ms499×body640valid
107.0ms394×body320valid
37.0ms293×body160valid
6.0ms16×body2560valid