Details

Time bar (total: 11.5s)

sample32.0ms

Algorithm
intervals
Results
16.0ms335×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
089
1149
2259
3488
4998
51728
62528
74258
810788
935538
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (/ y t) (- z x) x)

simplify2.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
023154
140154
293138
3276123
41619123
done5001123

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y t) (- z x) x))
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
2.0ms
(cbrt (fma (/ y t) (- z x) x))
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series449.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt (fma (/ y t) (- z x) x))
51.0ms
(fma (/ y t) (- z x) x)
51.0ms
(fma (/ y t) (- z x) x)
55.0ms
(fma (/ y t) (- z x) x)

simplify748.0ms

Counts
55 → 55
Iterations

Useful iterations: done (746.0ms)

IterNodesCost
060683
1117678
2288611
31132559
done5001552

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series201.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (/ y t) (- z x) x)
56.0ms
(fma (/ y t) (- z x) x)
45.0ms
(fma (/ y t) (- z x) x)
56.0ms
(fma (/ y t) (- z x) x)

simplify1.5s

Counts
52 → 52
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
023616
140616
293552
3276492
41619492
done5001492

prune349.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) t)
7.2b
(* y (/ (- z x) t))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
35.0ms
(/ (- z x) t)
65.0ms
(* y (/ (- z x) t))

series144.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- z x) t)
94.0ms
(* y (/ (- z x) t))

simplify837.0ms

Counts
86 → 86
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
0120859
1301818
21270752
done5001746

prune301.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

11.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.6b

bsearch187.0ms

Steps
ItersRangePoint
9
1.46308538039425e-293
2.5205719353630238e-284
8.729975090878234e-288
9
-3.1337576530790478e+59
-7.230831566044182e+52
-1.0300763657821638e+57

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02573
13647
done3647

end0.0ms

sample1.3s

Algorithm
intervals
Results
561.0ms10653×body80valid