Details

Time bar (total: 1.3m)

sample48.0ms

Algorithm
intervals
Results
22.0ms328×body80valid

simplify234.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite1.0s

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-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
32.0ms
(/ t (- 1.0 z))
153.0ms
(- (/ y z) (/ t (- 1.0 z)))
603.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series318.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ t (- 1.0 z))
74.0ms
(- (/ y z) (/ t (- 1.0 z)))
118.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify15.6s

Counts
936 → 936
Iterations
IterNodes
done5000
24562
11778
01009

prune21.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize341.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
2.0b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
23.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
14.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series1.1s

Counts
3 → 9
Calls
3 calls:
220.0ms
(/ t (- 1.0 z))
206.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
632.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify12.8s

Counts
80 → 80
Iterations
IterNodes
done5022
33640
2948
1318
0144

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize435.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))) x)
33.2b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-prod add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×pow1/3
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt z)
6.0ms
(cbrt z)
25.0ms
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))) x)
5.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series1.9s

Counts
4 → 12
Calls
4 calls:
416.0ms
(cbrt z)
451.0ms
(cbrt z)
506.0ms
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ 1 (- 1.0 z)) t))) x)
560.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify7.1s

Counts
68 → 68
Iterations
IterNodes
done5001
32237
2464
1170
089

prune999.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
4.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite818.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
107×add-sqr-sqrt
82×cbrt-prod
64×times-frac
36×distribute-lft-out--
33×cbrt-div
28×difference-of-squares
17×swap-sqr
15×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
571.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
94.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
60.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
75.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series2.7s

Counts
4 → 12
Calls
4 calls:
614.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
508.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
758.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
828.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify3.8s

Counts
163 → 163
Iterations
IterNodes
done5002
31979
2909
1413
0203

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 4.8b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s10108×body80valid