Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
7.0ms281×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize7.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (* x (- y z)) (- t z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
27.0ms
(/ (* x (- y z)) (- t z))

series66.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (* x (- y z)) (- t z))

simplify112.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0209187
1850160
24095160
35002160

prune94.0ms

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
24.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
145.0ms
(/ x (/ (- t z) (- y z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06421801
128871748
250011745

prune465.0ms

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
(/ (- t z) (- y z))
0.4b
(/ 1 (/ (/ (- t z) (- y z)) x))
2.0b
(/ (/ (- t z) (- y z)) x)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
23.0ms
(/ (- t z) (- y z))
47.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
37.0ms
(/ (/ (- t z) (- y z)) x)

series297.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- t z) (- y z))
161.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
85.0ms
(/ (/ (- t z) (- y z)) x)

simplify126.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
017717394
150016728

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

11.5b
(* (/ x (- t z)) (- y z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×*-un-lft-identity
23×add-cube-cbrt
21×associate-*l*
18×prod-diff
16×times-frac
11×distribute-rgt-in distribute-lft-in
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×frac-times sub-neg associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 70
Calls
1 calls:
52.0ms
(* (/ x (- t z)) (- y z))

series158.0ms

Counts
1 → 3
Calls
1 calls:
158.0ms
(* (/ x (- t z)) (- y z))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0409645
11648491
25001485

prune138.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

-3.7% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch75.0ms

Steps
ItersRangePoint
8
8.533857798619261e-268
7.285735258087563e-264
2.7570659801468466e-265
10
-9.404786223137415e-91
-1.645253636299517e-102
-5.774941709796474e-102

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample506.0ms

Algorithm
intervals
Results
217.0ms8697×body80valid