Details

Time bar (total: 16.8s)

sample26.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5000
92492
81293
7674
6329
5179
4106
363
235
117
010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
3.9b
(fma (- y z) (/ t (- a z)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
16.0ms
(/ t (- a z))
1.0ms
(fma (- y z) (/ t (- a z)) x)

series150.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ t (- a z))
105.0ms
(fma (- y z) (/ t (- a z)) x)

simplify764.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
31511
2446
1176
092

prune361.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
3.9b
(fma (- y z) (* t (/ 1 (- a z))) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 99
Calls
3 calls:
15.0ms
(/ 1 (- a z))
37.0ms
(* t (/ 1 (- a z)))
0.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

series159.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- a z))
35.0ms
(* t (/ 1 (- a z)))
84.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

simplify606.0ms

Counts
108 → 108
Iterations
IterNodes
done5001
21125
1309
0132

prune524.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
9.9b
(/ (* (- y z) t) (- a z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*l*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
34.0ms
(* (- y z) t)
30.0ms
(/ (* (- y z) t) (- a z))

series165.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (- y z) t)
114.0ms
(/ (* (- y z) t) (- a z))

simplify1.3s

Counts
61 → 61
Iterations
IterNodes
done5000
21496
1273
0105

prune411.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.4b
(/ 1 (/ (/ (- a z) (- y z)) t))
2.0b
(/ (/ (- a z) (- y z)) t)

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×add-cbrt-cube div-exp
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp div-sub log1p-expm1-u add-log-exp associate-/l/
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
28.0ms
(/ (- a z) (- y z))
61.0ms
(/ 1 (/ (/ (- a z) (- y z)) t))
43.0ms
(/ (/ (- a z) (- y z)) t)

series419.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- a z) (- y z))
236.0ms
(/ 1 (/ (/ (- a z) (- y z)) t))
130.0ms
(/ (/ (- a z) (- y z)) t)

simplify1.6s

Counts
626 → 626
Iterations
IterNodes
done5000
12122
0709

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes473.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample1.3s

Algorithm
intervals
Results
903.0ms8711×body80valid
0.0ms1×body1280valid