Details

Time bar (total: 10.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify895.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
01011
11711
23211
35910
410110
515410
620410
724010
828310
936910
1048410
1155810
1265210
1369210
done69210

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.8b
(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series203.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
174.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (417.0ms)

IterNodesCost
092550
1167533
2347493
3756491
41993490
done5000490

prune154.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
0.0b
(+ (* (/ y (- a t)) (- z t)) x)
10.5b
(* (/ y (- a t)) (- z t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
6.0ms
(/ y (- a t))
13.0ms
(+ (* (/ y (- a t)) (- z t)) x)
26.0ms
(* (/ y (- a t)) (- z t))

series391.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ y (- a t))
207.0ms
(+ (* (/ y (- a t)) (- z t)) x)
151.0ms
(* (/ y (- a t)) (- z t))

simplify1.0s

Counts
154 → 154
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02262345
15631993
216921789
done50001753

prune384.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- a t))) x)
0.0b
(/ (- z t) (- a t))
2.9b
(* y (/ (- z t) (- a t)))

rewrite55.0ms

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×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
9.0ms
(+ (* y (/ (- z t) (- a t))) x)
13.0ms
(/ (- z t) (- a t))
28.0ms
(* y (/ (- z t) (- a t)))

series203.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (* y (/ (- z t) (- a t))) x)
48.0ms
(/ (- z t) (- a t))
69.0ms
(* y (/ (- z t) (- a t)))

simplify1.6s

Counts
129 → 129
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01681615
14361506
211501422
336221414
done50001412

prune310.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1 (/ (- a t) y)) (- z t)) x)
0.0b
(/ (- a t) y)
0.5b
(/ 1 (/ (- a t) y))
10.5b
(* (/ 1 (/ (- a t) y)) (- z t))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
208×add-sqr-sqrt
196×*-un-lft-identity
142×add-cube-cbrt
62×associate-*l*
36×add-exp-log prod-diff
26×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in associate-/r*
20×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*r* unswap-sqr
4×expm1-log1p-u sub-neg rec-exp 1-exp log1p-expm1-u
3×flip3-- flip-- cbrt-unprod
2×frac-times frac-2neg associate-*r/ clear-num associate-/r/ associate-/l/
1×+-commutative pow-flip fma-def flip3-+ div-sub pow-prod-down associate-*l/ sum-log *-commutative flip-+ inv-pow
Counts
4 → 298
Calls
4 calls:
17.0ms
(+ (* (/ 1 (/ (- a t) y)) (- z t)) x)
9.0ms
(/ (- a t) y)
10.0ms
(/ 1 (/ (- a t) y))
48.0ms
(* (/ 1 (/ (- a t) y)) (- z t))

series471.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(+ (* (/ 1 (/ (- a t) y)) (- z t)) x)
31.0ms
(/ (- a t) y)
73.0ms
(/ 1 (/ (- a t) y))
158.0ms
(* (/ 1 (/ (- a t) y)) (- z t))

simplify1.6s

Counts
310 → 310
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03824910
19794122
227573520
done50003387

prune680.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

72.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02257
12857
done2857

end0.0ms

sample528.0ms

Algorithm
intervals
Results
270.0ms8723×body80valid