Details

Time bar (total: 9.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms315×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4847
5927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
18.0ms
(* x (- 1.0 (* y z)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* x (- 1.0 (* y z)))

simplify3.6s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
070405
1168402
2674354
34164343
done5000343

prune75.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* z y)) x))
5.8b
(* (- (* z y)) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
8.0ms
(+ (* 1.0 x) (* (- (* z y)) x))
11.0ms
(* (- (* z y)) x)

series103.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* 1.0 x) (* (- (* z y)) x))
39.0ms
(* (- (* z y)) x)

simplify1.2s

Counts
47 → 47
Iterations

Useful iterations: done (1.2s)

IterNodesCost
069457
1197394
21151351
done5001350

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
11.8b
(cbrt (- (* z y)))
11.8b
(cbrt (- (* z y)))
11.8b
(cbrt (- (* z y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×pow1 add-exp-log
10×add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
63.0ms
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
9.0ms
(cbrt (- (* z y)))
3.0ms
(cbrt (- (* z y)))
3.0ms
(cbrt (- (* z y)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* (cbrt (- (* z y))) (cbrt (- (* z y)))) (* (cbrt (- (* z y))) x))
108.0ms
(cbrt (- (* z y)))
108.0ms
(cbrt (- (* z y)))
108.0ms
(cbrt (- (* z y)))

simplify901.0ms

Counts
84 → 84
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
0891105
12151067
2761733
done5000627

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (- (* y (* x z))))
4.9b
(* y (* x z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sum-log log1p-expm1-u
1×+-commutative neg-sub0 associate-+r- fma-def flip3-+ associate-*r* unsub-neg neg-log *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
11.0ms
(+ (* 1.0 x) (- (* y (* x z))))
16.0ms
(* y (* x z))

series126.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ (* 1.0 x) (- (* y (* x z))))
53.0ms
(* y (* x z))

simplify1.0s

Counts
44 → 44
Iterations

Useful iterations: done (1.0s)

IterNodesCost
072422
1209390
21024308
done5000302

prune145.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

4.4% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.4b

bsearch40.0ms

Steps
ItersRangePoint
5
-9.74212118158668e+58
-2.9877828143986414e+58
-3.0564409155009753e+58

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01624
13224
24424
34524
done4524

end0.0ms

sample841.0ms

Algorithm
intervals
Results
349.0ms9553×body80valid