Details

Time bar (total: 3.1s)

sample25.0ms

Algorithm
intervals
Results
12.0ms350×body80valid

simplify117.0ms

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
1350033

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.3b
(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)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(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

prune36.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.9b
(/ (* y (- z x)) t)

rewrite31.0ms

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:
5.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(* y (- z x))
11.0ms
(/ (* y (- z x)) t)

series128.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (/ (* y (- z x)) t))
36.0ms
(* y (- z x))
52.0ms
(/ (* y (- z x)) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377600
11715428
25003420

prune171.0ms

Filtered
97 candidates to 57 candidates (58.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
38.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series865.0ms

Counts
4 → 12
Calls
4 calls:
388.0ms
(cbrt t)
196.0ms
(cbrt t)
184.0ms
(cbrt t)
96.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0484948
12620771
25001736

prune359.0ms

Filtered
124 candidates to 96 candidates (77.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
6.2b
(* y (/ (- z x) t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 96
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z x) t)))
9.0ms
(/ (- z x) t)
15.0ms
(* y (/ (- z x) t))

series112.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (* y (/ (- z x) t)))
26.0ms
(/ (- z x) t)
47.0ms
(* y (/ (- z x) t))

simplify47.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0353521
11438485
25001470

prune217.0ms

Filtered
105 candidates to 73 candidates (69.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

69.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample551.0ms

Algorithm
intervals
Results
281.0ms10645×body80valid