Details

Time bar (total: 15.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify7.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
089
1149
2289
3508
4878
51298
61658
71808
82088
92588
103768
115538
126138
136848
148098
1510678
1613998
1720298
1826648
1927618
2027678
done27678

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.7b
(/ (* (- y x) z) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- 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 → 66
Calls
3 calls:
8.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series112.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* (- y x) z) t))
30.0ms
(* (- y x) z)
43.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
75 → 75
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
0116736
1297699
2972605
done5000605

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.2b
(/ (- y x) (/ t z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
28.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (/ (- y x) (/ t z)))
47.0ms
(/ (- y x) (/ t z))

simplify878.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
02211932
16161804
218071697
done50011697

prune299.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) z) (/ 1 t)))
0.0b
(* (- y x) z)
6.8b
(* (* (- y x) z) (/ 1 t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-sqr-sqrt add-cbrt-cube
16×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt prod-exp
10×pow1
9×times-frac
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×expm1-log1p-u flip3-- fma-def flip-- log1p-expm1-u
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative
1×+-commutative flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
12.0ms
(* (- y x) z)
19.0ms
(* (* (- y x) z) (/ 1 t))

series109.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
29.0ms
(* (- y x) z)
42.0ms
(* (* (- y x) z) (/ 1 t))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: 2 (252.0ms)

IterNodesCost
01531084
1419915
21441769
done5000769

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
6.7b
(fma (/ (- y x) t) z x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series67.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- y x) t)
36.0ms
(fma (/ (- y x) t) z x)

simplify1.8s

Counts
56 → 56
Iterations

Useful iterations: 4 (682.0ms)

IterNodesCost
093570
1194548
2433512
31085497
43093496
done5001496

prune137.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

45.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01853
12642
done2642

end0.0ms

sample554.0ms

Algorithm
intervals
Results
283.0ms10679×body80valid