Details

Time bar (total: 24.9s)

sample69.0ms

Algorithm
intervals
Results
48.0ms325×body80valid

simplify120.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite190.0ms

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:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
9.0ms
(/ t (- 1.0 z))
101.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series203.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (/ y z) (/ t (- 1.0 z)))
42.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify4.5s

Counts
939 → 939
Iterations
IterNodes
done5000
24554
11781
01012

prune5.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
6.0b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube fma-neg
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×associate-/r* prod-exp
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub insert-posit16 log1p-expm1-u flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×clear-num frac-2neg diff-log pow-flip inv-pow
Counts
4 → 189
Calls
4 calls:
16.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
16.0ms
(/ 1 (- 1.0 z))
38.0ms
(* t (/ 1 (- 1.0 z)))
70.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
29.0ms
(/ 1 (- 1.0 z))
52.0ms
(* t (/ 1 (- 1.0 z)))
73.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.9s

Counts
201 → 201
Iterations
IterNodes
done5002
22092
1693
0288

prune975.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

14.6b
(cbrt (/ y z))
14.6b
(cbrt (/ y z))
14.6b
(cbrt (/ y z))
27.7b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 86
Calls
4 calls:
4.0ms
(cbrt (/ y z))
3.0ms
(cbrt (/ y z))
3.0ms
(cbrt (/ y z))
1.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series362.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(cbrt (/ y z))
90.0ms
(cbrt (/ y z))
95.0ms
(cbrt (/ y z))
108.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify4.0s

Counts
98 → 98
Iterations
IterNodes
done5000
42720
3733
2273
1144
098

prune893.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.4b

localize106.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) z))) (- (* (/ 1 (- 1.0 z)) t))) x)
14.6b
(cbrt (/ y z))
14.6b
(cbrt (/ y z))
27.7b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
6×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cbrt-div pow1/3 div-inv
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 82
Calls
4 calls:
13.0ms
(* (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) z))) (- (* (/ 1 (- 1.0 z)) t))) x)
3.0ms
(cbrt (/ y z))
3.0ms
(cbrt (/ y z))
1.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series665.0ms

Counts
4 → 12
Calls
4 calls:
386.0ms
(* (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (/ (cbrt y) z))) (- (* (/ 1 (- 1.0 z)) t))) x)
92.0ms
(cbrt (/ y z))
80.0ms
(cbrt (/ y z))
106.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify2.4s

Counts
94 → 94
Iterations
IterNodes
done5006
32819
2705
1308
0167

prune812.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.4b

regimes734.0ms

Accuracy

81.4% (0.7b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 4.5b

bsearch3.0ms

simplify7.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
988.0ms10121×body80valid