Details

Time bar (total: 56.0s)

sample80.0ms

Algorithm
intervals
Results
31.0ms320×body80valid

simplify442.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize105.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite1.3s

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:
44.0ms
(/ t (- 1.0 z))
185.0ms
(- (/ y z) (/ t (- 1.0 z)))
771.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series229.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ t (- 1.0 z))
57.0ms
(- (/ y z) (/ t (- 1.0 z)))
110.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify10.1s

Counts
939 → 939
Iterations
IterNodes
done5000
24524
11773
01012

prune10.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* (- (/ y z) (/ t (- 1.0 z))) x)

rewrite571.0ms

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:
22.0ms
(/ t (- 1.0 z))
128.0ms
(- (/ y z) (/ t (- 1.0 z)))
342.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)

series211.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ t (- 1.0 z))
69.0ms
(- (/ y z) (/ t (- 1.0 z)))
80.0ms
(* (- (/ y z) (/ t (- 1.0 z))) x)

simplify6.2s

Counts
389 → 389
Iterations
IterNodes
done5001
22930
11172
0505

prune4.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize195.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (/ y z))
11.7b
(cbrt (/ y z))
11.7b
(cbrt (/ y z))
28.7b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite24.0ms

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:
6.0ms
(cbrt (/ y z))
6.0ms
(cbrt (/ y z))
5.0ms
(cbrt (/ y z))
1.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series582.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (/ y z))
138.0ms
(cbrt (/ y z))
134.0ms
(cbrt (/ y z))
104.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify6.9s

Counts
98 → 98
Iterations
IterNodes
done5002
42747
3728
2273
1144
098

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize260.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (fma (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))) (cbrt (/ y z)) (- (* (/ 1 (- 1.0 z)) t))) x)
11.7b
(cbrt (/ y z))
11.7b
(cbrt (/ y z))
28.7b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite31.0ms

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:
16.0ms
(* (fma (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))) (cbrt (/ y z)) (- (* (/ 1 (- 1.0 z)) t))) x)
5.0ms
(cbrt (/ y z))
5.0ms
(cbrt (/ y z))
1.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series1.1s

Counts
4 → 12
Calls
4 calls:
729.0ms
(* (fma (* (* (cbrt y) (cbrt (/ 1 z))) (cbrt (/ y z))) (cbrt (/ y z)) (- (* (/ 1 (- 1.0 z)) t))) x)
145.0ms
(cbrt (/ y z))
116.0ms
(cbrt (/ y z))
98.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify5.4s

Counts
94 → 94
Iterations
IterNodes
done5007
32760
2711
1311
0167

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

64.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 5.3b

bsearch3.0ms

simplify39.0ms

Iterations
IterNodes
done60
260
158
037

end0.0ms

sample1.8s

Algorithm
intervals
Results
837.0ms10103×body80valid