Details

Time bar (total: 3.0s)

sample22.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma (/ y t) (- z x) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
6.9b
(/ (* y (- z x)) t)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
9.0ms
(+ x (/ (* y (- z x)) t))
22.0ms
(* y (- z x))
23.0ms
(/ (* y (- z x)) t)

series129.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* y (- z x)) t))
37.0ms
(* y (- z x))
52.0ms
(/ (* y (- z x)) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377600
11715428
25003420

prune155.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.5b
(/ 1 (/ t (* y (- z x))))
6.9b
(/ t (* y (- z x)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
43×add-sqr-sqrt
42×times-frac
39×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-def 1-exp associate-*l* cbrt-unprod
2×sub-neg frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 155
Calls
4 calls:
22.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
24.0ms
(* y (- z x))
23.0ms
(/ 1 (/ t (* y (- z x))))
11.0ms
(/ t (* y (- z x)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
40.0ms
(* y (- z x))
55.0ms
(/ 1 (/ t (* y (- z x))))
44.0ms
(/ t (* y (- z x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05341104
12513820
25002805

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.5b
(/ 1 (/ (/ t y) (- z x)))
5.4b
(/ (/ t y) (- z x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
463×*-un-lft-identity
460×add-sqr-sqrt
328×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 434
Calls
3 calls:
90.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
32.0ms
(/ 1 (/ (/ t y) (- z x)))
17.0ms
(/ (/ t y) (- z x))

series137.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
60.0ms
(/ 1 (/ (/ t y) (- z x)))
40.0ms
(/ (/ t y) (- z x))

simplify70.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014244539
150013688

prune657.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

22.6% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02219
12219

end0.0ms

sample605.0ms

Algorithm
intervals
Results
251.0ms10682×body80valid