Details

Time bar (total: 8.0s)

sample27.0ms

Algorithm
intervals
Results
10.0ms315×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4677
5717
done717

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)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
21.0ms
(* x (- 1.0 (* y z)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* x (- 1.0 (* y z)))

simplify1.3s

Counts
27 → 27
Iterations

Useful iterations: 3 (454.0ms)

IterNodesCost
051267
1132264
2529234
32615232
done5000232

prune66.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
11.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
13.0ms
(* (- (* y z)) x)

series122.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
35.0ms
(* (- (* y z)) x)

simplify1.1s

Counts
42 → 42
Iterations

Useful iterations: done (1.1s)

IterNodesCost
066421
1189363
21343322
done5001321

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

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×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 → 64
Calls
4 calls:
83.0ms
(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
127.0ms
(cbrt (- (* y z)))
132.0ms
(cbrt (- (* y z)))
166.0ms
(cbrt (- (* y z)))

simplify859.0ms

Counts
76 → 76
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
0861029
1211991
2777677
done5000577

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y))
1.7b
(* (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
11.8b
(cbrt (- (* y z)))
11.8b
(cbrt (- (* y z)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
22×cbrt-prod
15×pow-prod-down prod-exp cbrt-unprod
14×add-cbrt-cube
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×distribute-lft-neg-in distribute-rgt-neg-in
4×add-log-exp
3×neg-mul-1 pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (- y))
167.0ms
(* (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
3.0ms
(cbrt (- (* y z)))
4.0ms
(cbrt (- (* y z)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt (- y))
97.0ms
(* (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
115.0ms
(cbrt (- (* y z)))
111.0ms
(cbrt (- (* y z)))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01271204
13041176
21248976
done5001919

prune289.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

96.8% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01942
13633
24933
35333
done5333

end0.0ms

sample812.0ms

Algorithm
intervals
Results
361.0ms9553×body80valid