Details

Time bar (total: 3.2s)

sample25.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.6b
(/ (* (- y x) z) t)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv 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 → 66
Calls
3 calls:
10.0ms
(+ x (/ (* (- y x) z) t))
25.0ms
(* (- y x) z)
18.0ms
(/ (* (- y x) z) t)

series119.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (/ (* (- y x) z) t))
34.0ms
(* (- y x) z)
45.0ms
(/ (* (- y x) z) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296337
11154289
25002284

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.8b
(/ (- y x) (/ t z))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
41.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (- y x) (/ t z)))
49.0ms
(/ (- y x) (/ t z))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0618976
12232923
25001920

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.6b
(/ 1 (/ (/ t z) (- y x)))
5.7b
(/ (/ t z) (- y x))

rewrite196.0ms

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:
97.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
32.0ms
(/ 1 (/ (/ t z) (- y x)))
21.0ms
(/ (/ t z) (- y x))

series142.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
54.0ms
(/ 1 (/ (/ t z) (- y x)))
47.0ms
(/ (/ t z) (- y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014254545
150023688

prune683.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
8.0ms
(+ x (* (- y x) (/ z t)))
32.0ms
(* (- y x) (/ z t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* (- y x) (/ z t)))
44.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306327
11283301
25002286

prune119.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

30.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample684.0ms

Algorithm
intervals
Results
274.0ms10663×body80valid