Details

Time bar (total: 9.1s)

sample43.0ms

Algorithm
intervals
Results
26.0ms277×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2001
131882
121295
11753
10441
9341
8282
7255
6219
5152
495
358
237
121
010

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma (/ (- z t) (- z a)) y x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
15.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- z t) (- z a))
116.0ms
(fma (/ (- z t) (- z a)) y x)

simplify526.0ms

Counts
72 → 72
Iterations
IterNodes
done2001
2655
1268
0115

prune330.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.5b
(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r* associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 108
Calls
3 calls:
12.0ms
(/ 1 (- z a))
51.0ms
(* (- z t) (/ 1 (- z a)))
0.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ 1 (- z a))
53.0ms
(* (- z t) (/ 1 (- z a)))
103.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

simplify809.0ms

Counts
117 → 117
Iterations
IterNodes
done2002
21200
1359
0152

prune509.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.5b
(fma (/ (- z t) (- z a)) y x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
34.0ms
(/ (- z t) (- z a))
1.0ms
(fma (/ (- z t) (- z a)) y x)

series220.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (- z t) (- z a))
142.0ms
(fma (/ (- z t) (- z a)) y x)

simplify515.0ms

Counts
72 → 72
Iterations
IterNodes
done2001
2655
1268
0115

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
1.5b
(fma (* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a)))) y x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 65
Calls
4 calls:
5.0ms
(cbrt (- z a))
5.0ms
(cbrt (- z a))
5.0ms
(cbrt (- z a))
0.0ms
(fma (* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a)))) y x)

series749.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (- z a))
216.0ms
(cbrt (- z a))
225.0ms
(cbrt (- z a))
134.0ms
(fma (* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ 1 (cbrt (- z a)))) y x)

simplify733.0ms

Counts
77 → 77
Iterations
IterNodes
done2010
31202
2446
1201
096

prune596.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes401.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8709×body80valid
1.0ms1×body2560valid