Details

Time bar (total: 16.9s)

sample85.0ms

Algorithm
intervals
Results
36.0ms502×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
51844
4493
3171
252
121
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
0.0b
(fma 4.0 (* (- t (* z z)) y) (* x x))
3.8b
(* (- t (* z z)) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×pow1 add-cbrt-cube add-exp-log add-log-exp
4×associate-*l*
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- difference-of-squares
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 54
Calls
3 calls:
5.0ms
(- t (* z z))
0.0ms
(fma 4.0 (* (- t (* z z)) y) (* x x))
27.0ms
(* (- t (* z z)) y)

series192.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- t (* z z))
109.0ms
(fma 4.0 (* (- t (* z z)) y) (* x x))
45.0ms
(* (- t (* z z)) y)

simplify796.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
2862
1215
093

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
0.0b
(- t (* z z))
3.8b
(* (* y 4.0) (- t (* z z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r*
3×expm1-log1p-u sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-- associate-*r/ flip-- difference-of-squares
1×diff-log associate-*l* *-commutative fma-udef
Counts
3 → 64
Calls
3 calls:
0.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
5.0ms
(- t (* z z))
24.0ms
(* (* y 4.0) (- t (* z z)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
46.0ms
(- t (* z z))
94.0ms
(* (* y 4.0) (- t (* z z)))

simplify1.7s

Counts
73 → 73
Iterations
IterNodes
done5001
21954
1312
0109

prune460.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (+ (* y (* 4.0 (- t (* z z)))) (* (fma (- z) z (* z z)) (* y 4.0))))
0.0b
(- t (* z z))
3.8b
(* y (* 4.0 (- t (* z z))))
41.0b
(fma (- z) z (* z z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in distribute-lft-in
15×prod-diff
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
5×sub-neg
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×fma-neg associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- fma-udef flip--
1×diff-log associate-*r* *-commutative difference-of-squares
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma x x (+ (* y (* 4.0 (- t (* z z)))) (* (fma (- z) z (* z z)) (* y 4.0))))
5.0ms
(- t (* z z))
26.0ms
(* y (* 4.0 (- t (* z z))))
0.0ms
(fma (- z) z (* z z))

series2.3s

Counts
4 → 12
Calls
4 calls:
2.1s
(fma x x (+ (* y (* 4.0 (- t (* z z)))) (* (fma (- z) z (* z z)) (* y 4.0))))
50.0ms
(- t (* z z))
116.0ms
(* y (* 4.0 (- t (* z z))))
61.0ms
(fma (- z) z (* z z))

simplify1.2s

Counts
95 → 95
Iterations
IterNodes
done5001
21399
1338
0148

prune651.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
0.0b
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
7.5b
(* (* y 4.0) (- (* z z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log
6×associate-*r*
5×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod log1p-expm1-u
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ associate-*l* unsub-neg *-commutative flip-+ fma-udef distribute-lft-out
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
23.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
28.0ms
(* (* y 4.0) (- (* z z)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
132.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
53.0ms
(* (* y 4.0) (- (* z z)))

simplify1.8s

Counts
60 → 60
Iterations
IterNodes
done5001
21760
1280
097

prune351.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes704.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done36
336
227
119
012

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s15749×body80valid