Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

localize9.0ms

Local error

Found 1 expressions with local error:

1.8b
(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)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma (/ y t) (- z x) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.6b
(/ (* y (- z x)) t)

rewrite56.0ms

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:
24.0ms
(* y (- z x))
9.0ms
(+ x (/ (* y (- z x)) t))
20.0ms
(/ (* y (- z x)) t)

series111.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* y (- z x))
32.0ms
(+ x (/ (* y (- z x)) t))
43.0ms
(/ (* y (- z x)) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0377600
11715428
25003420

prune167.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 160
Calls
3 calls:
11.0ms
(/ t (- z x))
43.0ms
(+ x (/ y (/ t (- z x))))
17.0ms
(/ y (/ t (- z x)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ t (- z x))
31.0ms
(+ x (/ y (/ t (- z x))))
51.0ms
(/ y (/ t (- z x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05511174
124011128
250011122

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
6.5b
(/ (/ y t) (/ 1 (- z x)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
388×*-un-lft-identity
386×add-sqr-sqrt
294×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 393
Calls
3 calls:
11.0ms
(/ 1 (- z x))
101.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
26.0ms
(/ (/ y t) (/ 1 (- z x)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1 (- z x))
37.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
47.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017164280
150013892

prune726.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

58% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample638.0ms

Algorithm
intervals
Results
270.0ms10776×body80valid