Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
8.0ms352×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013
done50013

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
6.9b
(/ (* (- y x) z) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 42
Calls
2 calls:
9.0ms
(+ x (/ (* (- y x) z) t))
16.0ms
(/ (* (- y x) z) t)

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (* (- y x) z) t))
47.0ms
(/ (* (- y x) z) t)

simplify31.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0241243
1908207
25001202
done5001202

prune109.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.4b
(/ (- y x) (/ t z))

rewrite66.0ms

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:
35.0ms
(+ x (/ (- y x) (/ t z)))
24.0ms
(/ (- y x) (/ t z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (- y x) (/ t z)))
52.0ms
(/ (- y x) (/ t z))

simplify59.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0618976
12232923
25001920
done5001920

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.2b
(* (- y x) (/ z t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ z t)))
27.0ms
(* (- y x) (/ z t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
47.0ms
(* (- y x) (/ z t))

simplify37.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0306327
11283301
25002286
done5002286

prune138.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.8b
(/ 1 (/ (/ t z) (- y x)))
8.2b
(/ (/ t z) (- y x))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
463×*-un-lft-identity
460×add-sqr-sqrt
328×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 434
Calls
3 calls:
86.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
33.0ms
(/ 1 (/ (/ t z) (- y x)))
18.0ms
(/ (/ t z) (- y x))

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
59.0ms
(/ 1 (/ (/ t z) (- y x)))
40.0ms
(/ (/ t z) (- y x))

simplify65.0ms

Counts
443 → 443
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014254545
150023688
done50023688

prune623.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

53.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520
done2520

end0.0ms

sample598.0ms

Algorithm
intervals
Results
255.0ms10654×body80valid