Details

Time bar (total: 20.0s)

sample53.0ms

Algorithm
intervals
Results
31.0ms277×body80valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
224995
214713
204418
194136
183837
173514
163152
152742
142228
131882
121295
11753
10441
9341
8282
7255
6219
5152
495
358
237
121
010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma (/ (- z t) (- z a)) y x)

rewrite22.0ms

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:
20.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series202.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- z t) (- z a))
133.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts
72 → 72
Iterations
IterNodes
done5001
32237
2655
1268
0115

prune523.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
0.8b
(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite56.0ms

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:
17.0ms
(/ 1 (- z a))
36.0ms
(* (- z t) (/ 1 (- z a)))
1.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

series257.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1 (- z a))
80.0ms
(* (- z t) (/ 1 (- z a)))
117.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

simplify2.7s

Counts
117 → 117
Iterations
IterNodes
done5001
33630
21200
1359
0152

prune539.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.8b
(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) y x)

rewrite23.0ms

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:
7.0ms
(cbrt (- z a))
8.0ms
(cbrt (- z a))
6.0ms
(cbrt (- z a))
1.0ms
(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) y x)

series932.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (- z a))
246.0ms
(cbrt (- z a))
245.0ms
(cbrt (- z a))
171.0ms
(fma (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) y x)

simplify1.8s

Counts
77 → 77
Iterations
IterNodes
done5000
31221
2446
1201
096

prune580.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
9.1b
(* (/ y (- z a)) (- z t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv sub-neg div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 111
Calls
2 calls:
9.0ms
(/ y (- z a))
31.0ms
(* (/ y (- z a)) (- z t))

series256.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- z a))
204.0ms
(* (/ y (- z a)) (- z t))

simplify2.0s

Counts
117 → 117
Iterations
IterNodes
done5000
21441
1529
0194

prune739.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes565.0ms

Accuracy

0% (1.2b 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

sample2.0s

Algorithm
intervals
Results
1.5s8719×body80valid