Details

Time bar (total: 13.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms308×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite22.0ms

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:
21.0ms
(* x (- 1.0 (* y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (- 1.0 (* y z)))

simplify1.3s

Counts
35 → 35
Iterations

Useful iterations: done (1.3s)

IterNodesCost
070405
1151402
2392352
31409343
done5000307

prune97.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* y z)) x))
5.0b
(* (- (* y z)) x)

rewrite24.0ms

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:
10.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
13.0ms
(* (- (* y z)) x)

series123.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
40.0ms
(* (- (* y z)) x)

simplify1.6s

Counts
47 → 47
Iterations

Useful iterations: done (1.6s)

IterNodesCost
070457
1192378
2902351
done5000348

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (- (* y z)) x)
10.8b
(cbrt (* (- (* y z)) x))
10.8b
(cbrt (* (- (* y z)) x))
10.8b
(cbrt (* (- (* y z)) x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
11.0ms
(* (- (* y z)) x)
6.0ms
(cbrt (* (- (* y z)) x))
6.0ms
(cbrt (* (- (* y z)) x))
7.0ms
(cbrt (* (- (* y z)) x))

series432.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (- (* y z)) x)
160.0ms
(cbrt (* (- (* y z)) x))
117.0ms
(cbrt (* (- (* y z)) x))
121.0ms
(cbrt (* (- (* y z)) x))

simplify3.2s

Counts
69 → 69
Iterations

Useful iterations: done (3.2s)

IterNodesCost
083671
1190653
2723585
33286561
done5000531

prune242.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (- (* y z)) x)
10.7b
(cbrt (- (* y z)))
10.8b
(cbrt (* (- (* y z)) x))
10.8b
(cbrt (* (- (* y z)) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×cbrt-prod
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
1×distribute-lft-neg-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
16.0ms
(* (- (* y z)) x)
2.0ms
(cbrt (- (* y z)))
6.0ms
(cbrt (* (- (* y z)) x))
6.0ms
(cbrt (* (- (* y z)) x))

series392.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (- (* y z)) x)
101.0ms
(cbrt (- (* y z)))
152.0ms
(cbrt (* (- (* y z)) x))
113.0ms
(cbrt (* (- (* y z)) x))

simplify3.5s

Counts
74 → 74
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0112683
1240665
2814602
33499573
done5000551

prune368.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

44.2% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.5b

bsearch3.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
13026
24026
34626
done4626

end0.0ms

sample1.2s

Algorithm
intervals
Results
370.0ms9588×body80valid