Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify104.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014
done50014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.6b
(/ (* y (- z x)) t)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
20.0ms
(* y (- z x))
9.0ms
(+ x (/ (* y (- z x)) t))
16.0ms
(/ (* y (- z x)) t)

series128.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z x))
38.0ms
(+ x (/ (* y (- z x)) t))
52.0ms
(/ (* y (- z x)) t)

simplify37.0ms

Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280
done5001280

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
60.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
179.0ms
(cbrt t)
175.0ms
(cbrt t)
93.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify60.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706
done5001706

prune315.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
78.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
180.0ms
(cbrt t)
177.0ms
(cbrt t)
92.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))

simplify57.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03921037
12140778
25001751
done5001751

prune289.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
6.3b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
6.3b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
6.3b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 107
Calls
4 calls:
58.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
27.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
27.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
30.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
130.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
130.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
130.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

simplify61.0ms

Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05371302
126471148
250011089
done50011089

prune417.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

71.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520
done2520

end0.0ms

sample613.0ms

Algorithm
intervals
Results
250.0ms10583×body80valid