Details

Time bar (total: 17.0s)

sample56.0ms

Algorithm
intervals
Results
20.0ms275×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12111
23511
35611
49611
515711
623111
726311
833511
947311
1079911
11227611
done500011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.6b
(* y (/ (- z t) (- z a)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp 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 → 113
Calls
3 calls:
7.0ms
(+ x (* y (/ (- z t) (- z a))))
31.0ms
(/ (- z t) (- z a))
56.0ms
(* y (/ (- z t) (- z a)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(+ x (* y (/ (- z t) (- z a))))
62.0ms
(/ (- z t) (- z a))
112.0ms
(* y (/ (- z t) (- z a)))

simplify1.1s

Counts
122 → 122
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01621555
14481466
217851374
done50001368

prune567.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
1.6b
(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
142×associate-*r*
129×add-sqr-sqrt
115×*-un-lft-identity
104×cbrt-div
102×cbrt-prod
66×associate-/r/
59×add-cube-cbrt
52×flip3-- flip--
32×frac-times
28×distribute-lft-out-- difference-of-squares
18×add-exp-log
17×associate-*r/
16×associate-*l/
13×add-cbrt-cube
9×div-inv
6×pow1
5×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×pow1/3 associate-*l*
1×pow-prod-down *-commutative
Counts
4 → 213
Calls
4 calls:
8.0ms
(cbrt (- z a))
8.0ms
(cbrt (- z a))
7.0ms
(cbrt (- z a))
224.0ms
(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt (- z a))
246.0ms
(cbrt (- z a))
222.0ms
(cbrt (- z a))
101.0ms
(* y (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

simplify883.0ms

Counts
225 → 225
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
03914565
112044399
done50014043

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
2.5b
(* (/ y (* (cbrt (cbrt (- z a))) (cbrt (cbrt (- z a))))) (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (cbrt (- z a)))))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
248×cbrt-prod
193×associate-*r*
185×add-sqr-sqrt
166×cbrt-div
145×*-un-lft-identity
98×associate-/r/
83×add-cube-cbrt
76×flip3-- flip--
58×add-exp-log
49×frac-times
35×add-cbrt-cube
31×distribute-lft-out-- difference-of-squares
25×associate-*r/ associate-*l/
23×cbrt-undiv div-exp
19×prod-exp cbrt-unprod
15×associate-*l*
14×unswap-sqr
13×div-inv
6×pow1
4×add-log-exp
3×pow1/3
1×pow-prod-down *-commutative
Counts
4 → 303
Calls
4 calls:
7.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
407.0ms
(* (/ y (* (cbrt (cbrt (- z a))) (cbrt (cbrt (- z a))))) (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (cbrt (- z a)))))

series726.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (- z a))
197.0ms
(cbrt (- z a))
178.0ms
(cbrt (- z a))
154.0ms
(* (/ y (* (cbrt (cbrt (- z a))) (cbrt (cbrt (- z a))))) (/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (cbrt (- z a)))))

simplify1.7s

Counts
315 → 315
Iterations

Useful iterations: done (1.7s)

IterNodesCost
056110622
1211510284
done50019666

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- z t) y) (- z a)))
0.0b
(* (- z t) y)
11.9b
(/ (* (- z t) y) (- z a))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 63
Calls
3 calls:
45.0ms
(+ x (/ (* (- z t) y) (- z a)))
45.0ms
(* (- z t) y)
36.0ms
(/ (* (- z t) y) (- z a))

series222.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ x (/ (* (- z t) y) (- z a)))
36.0ms
(* (- z t) y)
74.0ms
(/ (* (- z t) y) (- z a))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0124812
1337763
21686691
done5000685

prune368.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes643.0ms

Accuracy

36.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch78.0ms

Steps
ItersRangePoint
9
8.931192701332034e-10
6.910177667229134e-05
1.4513944166191972e-07
7
-2.3315662235569937e+89
-3.21116155890472e+87
-3.2594727633548683e+87

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01941
12631
done2631

end0.0ms

sample1.2s

Algorithm
intervals
Results
529.0ms8713×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid