Details

Time bar (total: 18.4s)

sample44.0ms

Algorithm
intervals
Results
16.0ms321×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099
1159
2269
3498
41008
51748
62568
73388
85998
911518
1034568
done50008

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- z t) x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ y a) (- z t) x)

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
024154
141154
294138
3282123
42029123
done5002123

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (- z t) (/ a y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×div-inv
6×add-exp-log add-cbrt-cube
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- log1p-expm1-u add-log-exp
Counts
1 → 103
Calls
1 calls:
42.0ms
(/ (- z t) (/ a y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (- z t) (/ a y))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01971676
15981582
228071502
done50011498

prune347.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.5b
(* (/ (cbrt (- z t)) (/ (* (cbrt a) (cbrt a)) (cbrt (- z t)))) (/ (cbrt (- z t)) (/ (cbrt a) y)))
3.3b
(/ (cbrt (- z t)) (/ (cbrt a) y))

rewrite569.0ms

Algorithm
rewrite-expression-head
Rules
974×times-frac
719×add-sqr-sqrt
568×cbrt-prod
509×*-un-lft-identity
371×add-cube-cbrt
181×associate-*r*
117×associate-*l*
69×distribute-lft-out-- difference-of-squares
63×add-exp-log
49×unswap-sqr
30×cbrt-undiv div-exp
28×div-inv
27×add-cbrt-cube
22×cbrt-div associate-/r*
19×associate-/r/
15×prod-exp cbrt-unprod
11×flip3-- flip--
8×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 644
Calls
4 calls:
6.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
451.0ms
(* (/ (cbrt (- z t)) (/ (* (cbrt a) (cbrt a)) (cbrt (- z t)))) (/ (cbrt (- z t)) (/ (cbrt a) y)))
54.0ms
(/ (cbrt (- z t)) (/ (cbrt a) y))

series915.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (- z t))
156.0ms
(cbrt (- z t))
84.0ms
(* (/ (cbrt (- z t)) (/ (* (cbrt a) (cbrt a)) (cbrt (- z t)))) (/ (cbrt (- z t)) (/ (cbrt a) y)))
491.0ms
(/ (cbrt (- z t)) (/ (cbrt a) y))

simplify1.7s

Counts
656 → 656
Iterations

Useful iterations: done (1.6s)

IterNodesCost
080417369
1294916739
done500116098

prune4.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
4.1b
(/ (* y (- z t)) a)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
55.0ms
(* y (- z t))
39.0ms
(/ (* y (- z t)) a)

series137.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* y (- z t))
73.0ms
(/ (* y (- z t)) a)

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01461013
1365836
21545686
done5002654

prune168.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes427.0ms

Accuracy

84.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02042
12342
done2342

end0.0ms

sample1.5s

Algorithm
intervals
Results
675.0ms10573×body80valid