Details

Time bar (total: 23.6s)

sample40.0ms

Algorithm
intervals
Results
21.0ms339×body80valid

simplify110.0ms

Counts
1 → 1
Iterations
IterNodes
done114
9114
8111
7105
691
579
462
341
225
115
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
7.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*l* associate-*r/ insert-posit16 log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 930
Calls
3 calls:
64.0ms
(- (/ y z) (/ t (- 1.0 z)))
12.0ms
(/ t (- 1.0 z))
206.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series134.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
42.0ms
(/ t (- 1.0 z))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify4.4s

Counts
939 → 939
Iterations
IterNodes
done5000
24554
11781
01012

prune4.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
7.0b
(* (- (/ y z) (/ t (- 1.0 z))) x)

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
424×times-frac
398×add-sqr-sqrt
394×*-un-lft-identity
286×add-cube-cbrt
273×prod-diff
51×distribute-lft-out-- difference-of-squares
36×div-inv
28×associate-/r/
16×flip3-- flip--
13×fma-neg
10×associate-*l*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u associate-*r* associate-*l/ insert-posit16 log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 380
Calls
3 calls:
69.0ms
(- (/ y z) (/ t (- 1.0 z)))
11.0ms
(/ t (- 1.0 z))
167.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)

series143.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
39.0ms
(/ t (- 1.0 z))
61.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)

simplify2.3s

Counts
389 → 389
Iterations
IterNodes
done5000
22919
11172
0505

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

localize47.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))) x)
7.3b
(cbrt (/ t (- 1.0 z)))
7.3b
(cbrt (/ t (- 1.0 z)))
7.3b
(cbrt (/ t (- 1.0 z)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
51×*-un-lft-identity
45×times-frac
33×add-cube-cbrt
15×cbrt-div
14×associate-*l/
9×distribute-lft-out-- difference-of-squares
7×frac-sub
6×pow1 add-cbrt-cube add-exp-log associate-/r/
5×frac-times
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* associate-*r/ div-inv
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
111.0ms
(* (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))) x)
11.0ms
(cbrt (/ t (- 1.0 z)))
18.0ms
(cbrt (/ t (- 1.0 z)))
10.0ms
(cbrt (/ t (- 1.0 z)))

series672.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))) x)
192.0ms
(cbrt (/ t (- 1.0 z)))
180.0ms
(cbrt (/ t (- 1.0 z)))
212.0ms
(cbrt (/ t (- 1.0 z)))

simplify2.4s

Counts
141 → 141
Iterations
IterNodes
done5002
33785
21144
1486
0226

prune887.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
7.0b
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))))
24.5b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
2×pow1/3
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
12.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))))
1.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series1.2s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt z)
580.0ms
(cbrt z)
219.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))))
90.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify2.2s

Counts
74 → 74
Iterations
IterNodes
done5010
33105
2587
1198
097

prune526.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes494.0ms

Accuracy

87.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.9b

bsearch3.0ms

simplify12.0ms

Iterations
IterNodes
done58
158
044

end0.0ms

sample1.0s

Algorithm
intervals
Results
708.0ms9979×body80valid