Details

Time bar (total: 5.1s)

sample34.0ms

Algorithm
intervals
Results
14.0ms520×body80valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 9 (81.0ms)

IterNodesCost
0216
1526
21716
34016
48296
510906
616106
719566
822526
923675
1023675
done23675

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize8.0ms

Local error

Found 1 expressions with local error:

5.5b
(* (* y 4.0) (- t (* z z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 33
Calls
1 calls:
28.0ms
(* (* y 4.0) (- t (* z z)))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* (* y 4.0) (- t (* z z)))

simplify38.0ms

Counts
36 → 36
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0230249
11099212
25001207
done5001207

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 2 expressions with local error:

5.5b
(* (* y 4.0) (- t (* z z)))
42.5b
(fma (- z) z (* z z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- associate-*l* *-commutative flip-- fma-udef difference-of-squares
Counts
2 → 43
Calls
2 calls:
28.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series128.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (* y 4.0) (- t (* z z)))
50.0ms
(fma (- z) z (* z z))

simplify40.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0241299
11123255
25002250
done5002250

prune125.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
6.0b
(cbrt (- t (* z z)))
6.0b
(cbrt (- t (* z z)))
6.0b
(cbrt (- t (* z z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
12×cbrt-prod add-cbrt-cube
10×add-sqr-sqrt associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
50.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
3.0ms
(cbrt (- t (* z z)))
5.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
296.0ms
(cbrt (- t (* z z)))
278.0ms
(cbrt (- t (* z z)))
277.0ms
(cbrt (- t (* z z)))

simplify47.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0386796
11295707
25001692
done5001692

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.7b

localize17.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (- t (* z z)))
6.0b
(cbrt (- t (* z z)))
6.0b
(cbrt (- t (* z z)))
6.0b
(cbrt (- t (* z z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×add-sqr-sqrt
8×add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
4 → 64
Calls
4 calls:
3.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
7.0ms
(cbrt (- t (* z z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (- t (* z z)))
284.0ms
(cbrt (- t (* z z)))
282.0ms
(cbrt (- t (* z z)))
289.0ms
(cbrt (- t (* z z)))

simplify166.0ms

Counts
76 → 76
Iterations

Useful iterations: 4 (159.0ms)

IterNodesCost
0162524
1391496
21249484
34527476
45001472
done5001472

prune367.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.7b

regimes226.0ms

Accuracy

82.5% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.2b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02414
12414
done2414

end0.0ms

sample941.0ms

Algorithm
intervals
Results
438.0ms15820×body80valid