Details

Time bar (total: 16.6s)

sample36.0ms

Algorithm
intervals
Results
13.0ms356×body80valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
6.6b
(/ (- (* x y) (* z t)) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
26.0ms
(/ (- (* x y) (* z t)) a)

series118.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x y) (* z t))
56.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
54 → 54
Iterations

Useful iterations: 3 (709.0ms)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune523.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* t z)))
6.6b
(/ (+ (fma x y (- (* t z))) (* z (+ (- t) t))) a)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma x y (- (* t z)))
76.0ms
(/ (+ (fma x y (- (* t z))) (* z (+ (- t) t))) a)

series172.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(fma x y (- (* t z)))
91.0ms
(/ (+ (fma x y (- (* t z))) (* z (+ (- t) t))) a)

simplify962.0ms

Counts
47 → 47
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
083930
1184913
2754756
done5000628

prune388.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.7b

localize43.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* t z)))
6.7b
(* (+ (fma x y (- (* t z))) (* z (+ (- t) t))) (/ 1 a))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp
3×associate-*l* unswap-sqr
2×expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+ 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
Counts
2 → 52
Calls
2 calls:
1.0ms
(fma x y (- (* t z)))
59.0ms
(* (+ (fma x y (- (* t z))) (* z (+ (- t) t))) (/ 1 a))

series155.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(fma x y (- (* t z)))
89.0ms
(* (+ (fma x y (- (* t z))) (* z (+ (- t) t))) (/ 1 a))

simplify5.5s

Counts
58 → 58
Iterations

Useful iterations: done (5.5s)

IterNodesCost
01141194
13141132
22574870
done5000765

prune482.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.7b

localize44.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z (- t 0)))
0.2b
(/ 1 (/ a (- (* x y) (* z (- t 0)))))
6.6b
(/ a (- (* x y) (* z (- t 0))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
67×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate--r+
19×prod-diff
18×associate-/r*
16×add-exp-log
11×distribute-rgt-in distribute-lft-in associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u sub-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-neg diff-log inv-pow
Counts
3 → 155
Calls
3 calls:
27.0ms
(- (* x y) (* z (- t 0)))
43.0ms
(/ 1 (/ a (- (* x y) (* z (- t 0)))))
26.0ms
(/ a (- (* x y) (* z (- t 0))))

series271.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (* x y) (* z (- t 0)))
119.0ms
(/ 1 (/ a (- (* x y) (* z (- t 0)))))
78.0ms
(/ a (- (* x y) (* z (- t 0))))

simplify1.7s

Counts
164 → 164
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02583340
16622551
231652392
done50022364

prune898.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 6.7b

regimes1.2s

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.3b and baseline of 7.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
12016
22216
done2216

end0.0ms

sample1.5s

Algorithm
intervals
Results
602.0ms11062×body80valid