Details

Time bar (total: 13.6s)

sample24.0ms

Algorithm
intervals
Results
10.0ms360×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (40.0ms)

IterNodesCost
099
1169
2329
3679
41489
52568
63778
75808
86718
98548
109208
done9208

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
4.6b
(fma (/ (- t z) a) y x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
12.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series74.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (- t z) a)
47.0ms
(fma (/ (- t z) a) y x)

simplify2.5s

Counts
56 → 56
Iterations

Useful iterations: 4 (821.0ms)

IterNodesCost
095558
1195536
2511500
31641490
44743489
done5000489

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- t z) (/ 1 a))
4.6b
(fma (* (- t z) (/ 1 a)) y x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
16.0ms
(* (- t z) (/ 1 a))
0.0ms
(fma (* (- t z) (/ 1 a)) y x)

series78.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- t z) (/ 1 a))
51.0ms
(fma (* (- t z) (/ 1 a)) y x)

simplify2.1s

Counts
60 → 60
Iterations

Useful iterations: 3 (756.0ms)

IterNodesCost
0119656
1282544
2973452
33104442
done5000442

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))
0.5b
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
4.6b
(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
106×cbrt-prod
90×add-sqr-sqrt
70×times-frac
60×*-un-lft-identity
50×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
8×pow1/3 div-inv
6×add-exp-log cbrt-div
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 147
Calls
4 calls:
2.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (/ 1 a))
19.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
0.0ms
(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

series629.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (/ 1 a))
183.0ms
(cbrt (/ 1 a))
196.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
67.0ms
(fma (* (* (- t z) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a))) y x)

simplify4.3s

Counts
159 → 159
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01682120
12721910
210801546
340831484
done50011484

prune391.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
12.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

simplify619.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
01461013
1321830
21327648
done5000648

prune123.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes406.0ms

Accuracy

84.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.5b

bsearch73.0ms

Steps
ItersRangePoint
7
9.28385897973201e-108
9.5716832511863e-106
9.342267407344556e-106
9
-1357526.7243520434
-1.7432340083837217
-792628.2817991371

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02336
12736
done2736

end0.0ms

sample622.0ms

Algorithm
intervals
Results
299.0ms10683×body80valid